Under what condition is the maximum total power of the source

The power of technical equipment or power plants (devices, units) supplied by them to perform work is indicated in their technical characteristics. But this does not mean that all of it is used for its intended purpose to achieve results. Only useful power is used to perform work.


General definition of power

Types of DC power

Any power value is determined by the work that is done in a certain unit of time. Most often it becomes a second. It means a quantity that characterizes how quickly work is done. Regarding electrical power, this is the energy consumption per second.

The power characteristic of the current corresponds to the ratio of its work to time

Current work is the process of converting electricity into some other energy (mechanical, thermal or light). It is by power, which is designated by the letter “P” or “W,” that the performance of the electric current is assessed.

For your information! In general, a constant current does not have an active and reactive P. This type of network is characterized by only an instantaneous characteristic.

Instantaneous power

If we talk about alternating current networks, then the value in question in them, like electric current or voltage, regularly changes its values. This directly affects other parameters. With a constant flow of charges, everything remains unchanged. This is where the term “instantaneous power” comes from.

The forces in a regular current network remain unchanged and are equal to their instantaneous values ​​taken at an arbitrary point in time. This characteristic can be calculated using instantaneous values. The formula for DC power in the circuit is suitable for this: P = I * U.

The value under consideration can be found from the product of electric current and voltage

If the network is passive and Ohm’s law is observed in it, then equality is true. In the case of connecting an EMF source, a different formula is needed: P = I * E, where E is the electromotive force.

Active power

Active power is the average value of instantaneous P over a period. With active P, current power is converted into energy of any type (mechanical, light or thermal). Such a transfer of electric current cannot be performed in the opposite direction. Active type is also measured in watts. 1 Watt is equal to 1 volt times 1 ampere.

The work is inextricably linked with the determination of power characteristics

For your information! On a domestic and even more so industrial scale, the unit of measurement watt is never used. For these purposes, indicators that are an order of magnitude higher are used: megawatts to kilowatts.

Reactive power

The reactive power characteristic determines the load that is created by electrical devices due to certain fluctuations in the energy of the electromagnetic field in sinusoidal current networks of variable frequency. It is equal to the product of the rms voltage and current values ​​multiplied by the sine of the angle by which the phase shifts between them. The reactive parameter is inextricably linked with the full P and the active parameter.

All basic quantities can be found using Ohm's law

If we talk about the physical meaning of reactivity, then it represents a certain energy that is pumped from the source to the reactive elements of the receiver (capacitor, generator winding, inductor, etc.), and then returns back to the source during one oscillation period.

Full power

The total P of the electric current is the value corresponding to the product of the electric current and the voltage in the circuit. It is inextricably linked with active and reactive quantities and is determined by the following equation: where Sos = total power, and P and Q are its active and reactive characteristics, respectively.

Total power that can be represented as a glass of beer

To put it simply, active P exists wherever there is an active load. For example, in spiral heaters, wire resistance, etc. The reactive parameter is characteristic of the reactive load that is present in the inductive or capacitive elements.

Operating principle

According to Archimedes' law, the current in a conductor creates a magnetic field in which the force F1 acts. If a metal frame is made from this conductor and placed in a field at an angle of 90°, then the edges will experience forces directed in the opposite direction relative to each other. They create a torque about the axis, which begins to rotate it. The armature coils provide constant torsion. The field is created by electric or permanent magnets. The first option is made in the form of a coil winding on a steel core. Thus, the frame current generates an induction field in the electromagnet winding, which generates an electromotive force.

Let us consider in more detail the operation of asynchronous motors using the example of installations with a wound rotor. Such machines operate on alternating current with an armature rotation frequency that is not equal to the pulsation of the magnetic field. That's why they are also called induction. The rotor is driven by the interaction of electric current in coils with a magnetic field.

When there is no voltage in the auxiliary winding, the device is at rest. As soon as an electric current appears at the stator contacts, a constant magnetic field with pulsation +F and -F is formed. It can be represented as the following formula:

npr = nrev = f1 × 60 ÷ p = n1

Where:

npr is the number of revolutions that the magnetic field makes in the forward direction, rpm;

nrev — number of field revolutions in the opposite direction, rpm;

f1—electric current pulsation frequency, Hz;

p—number of poles;

n1 is the total number of revolutions per minute.

Experiencing pulsations of the magnetic field, the rotor receives initial movement. Due to the heterogeneity of the impact of the flow, it will develop a torque. According to the law of induction, an electromotive force is generated in a short-circuited winding, which generates a current. Its frequency is proportional to the rotor slip. Due to the interaction of electric current with a magnetic field, shaft torque is created.

To calculate performance, there are three formulas for the power of an asynchronous electric motor. By phase shift they use

S = P ÷ cos (alpha), where:

S is the total power, measured in Volt-Amps.

P is active power, indicated in Watts.

alpha - phase shift.

By total power we mean the real indicator, and by active - the calculated one.

Definition and formula of useful power

It is worth considering the concept of useful power and the formula using the example of an electrical circuit. The power that the power source (PS), in particular current, develops in a closed circuit will be the total power.

Circuit diagram

The circuit includes: a current source with EMF (E), an external circuit with a load R and an internal circuit of a power supply whose resistance is R0. The formula for total (total) power is:

Ptotal = E*I.

Here I is the value of the current passing through the circuit (A), and E is the value of the emf (B).

Attention! The voltage drop in each section will be equal to U and U0, respectively.

So the formula will take the form:

Ptotal = E*I = (U + U0) *I = U*I + U0*I.

It can be seen that the value of the product U*I is equal to the power supplied by the source to the load and corresponds to the useful power Ppol.

The value equal to the product U0*I corresponds to the power that is lost inside the power supply for heating and overcoming the internal resistance R0. This is the power loss P0.

The values ​​​​substituted into the formula show that the sum of useful and lost power makes up the total power of the IP:

Ptotal=Pfloor+P0.

Important! When operating any apparatus (mechanical or electrical), the useful power will be that which remains to perform the required work after overcoming the factors causing losses (heating, friction, counteracting forces).

What is IT efficiency

When we talk about the efficiency of a current source, we also consider the useful and total work done by the two-terminal network. By moving electrons in the external circuit, it performs useful work; by moving them throughout the entire circuit, including its internal circuit, it produces complete work.

In formula form it looks like this:

  • And useful. = q*U = I*U*t = I2*R*t;
  • A full = q*ε = I* ε*t = I2*(R+r)*t.

Where:

  • q – amount of energy, J;
  • U – voltage, V;
  • ε – emf, V;
  • I – current, A;
  • R – load resistance, Ohm;
  • r – source impedance, Ohm;
  • t is the time during which the work is done, s.

Taking this into account, we can express the power of a two-terminal network:

  • R useful. = A useful/t = I*U = I2*R;
  • P full = A total/t = I*ε = I2*(R+r).

The formula for the efficiency of current sources is:

η = P useful/P total= U/ε = R/ R+r.

Total, net power and efficiency of the DC circuit

Consider a closed unbranched circuit consisting of a current source and a resistor. Let us apply the law of conservation of energy to the entire circuit:

It will be interesting➡ Description of the electrical circuit diagram with an example

Since , and for a closed circuit points 1 and 2 coincide, the power of electrical forces in the closed circuit is zero. This is equivalent to the statement about the potentiality of the direct current electric field, which was already mentioned earlier.

So, in a closed circuit, all the heat is released due to the work of external forces: , or , and we again come to Ohm’s law, now for a closed circuit: .

The total power of the circuit is the power of external forces, it is also equal to the total thermal power:

Useful is the thermal power released in the external circuit (regardless of whether it is useful or harmful in this particular case):

The role of electrical forces in a circuit. In the external circuit, at load R

, electric forces do positive work, and when moving a charge inside a current source, they do negative work of the same magnitude. In the external circuit, heat is released due to the work of the electric field. The work given in the external circuit is “returned” by the electric field inside the current source. As a result, all the heat in the circuit is “paid for” by the work of external forces: the current source gradually loses the chemical (or some other) energy stored in it. The electric field plays the role of a “courier”, delivering energy to the external circuit. Dependence of total, useful power and efficiency on load resistance R. These dependencies are obtained from formulas (1 – 2) and Ohm’s law for the complete circuit:

You can see the graphs of these dependencies in the figure.

The total power decreases monotonically with increasing , because the current in the circuit decreases. The maximum total power is released at , i.e. in case of short circuit

Questions and tasks for self-control

  1. Write the Joule-Lenz law in integral and differential forms.
  2. What is short circuit current?
  3. What is gross power?
  4. How is efficiency calculated? current source?
  5. Prove that the greatest useful power is released when the external and internal resistances of the circuit are equal.
  6. Is it true that the power released in the internal part of the circuit is constant for a given source?
  7. A voltmeter was connected to the flashlight battery terminals, which showed 3.5 V.
  8. Then the voltmeter was disconnected and a lamp was connected in its place, on the base of which it was written: P = 30 W, U = 3.5 V. The lamp did not burn.
  9. Explain the phenomenon.
  10. When the battery is alternately shorted to resistances R1 and R2, an equal amount of heat is released in them at the same time. Determine the internal resistance of the battery.

Current power formula. Actual and rated power. Electrical appliance efficiency:

All known electrical devices operate using electrical energy. As a result of this, we receive light, heat, sound, mechanical movement, that is, different types of energy. In this article we will consider and study such physical concepts as electric current power.

By current power, as in mechanics, we mean the work that is performed per unit of time. A physical formula will help you calculate power, knowing the work performed by electric current over a certain period of time.

  • Current, voltage, power in electrostatics are related by an equality that can be derived from the formula A = UIt. It is used to determine the work performed by electric current:
  • P = A/t = UIt/t = UI Thus, the formula for direct current power at any section of the circuit is expressed as the product of the current and the voltage between the ends of the section.

Using Ohm's law, the current power formula P = UI is written as follows:

P = UI = U2/R = I2/R So, the power released on the conductors is directly proportional to the current flowing through the conductor and the voltage at its ends.

As you know, ideal machines and mechanisms do not exist (that is, those that would completely convert one type of energy into another or generate energy).

During operation of the device, part of the expended energy is necessarily spent on overcoming unwanted resistance forces or is simply “dissipated” into the environment.

Thus, only part of the energy we expend goes to perform useful work, for which the device was created.

A physical quantity that shows what part of the useful work is expended is called the efficiency factor (hereinafter referred to as efficiency).

  1. In other words, efficiency shows how efficiently the work expended is used when it is performed, for example, by an electrical appliance.
  2. Efficiency (denoted by the Greek letter η (“this”)) is a physical quantity that characterizes the efficiency of an electrical device and shows what part of the useful work is expended.
  3. Efficiency is determined (as in mechanics) by the formula:
  4. η = AP/AZ 100%
  5. If the power of the electric current is known, the formulas for determining the CFC will look like this:
  6. η = PP/PЗ 100%
  7. Before determining the efficiency of some device, it is necessary to determine what is useful work (what the device is designed to do) and what is expended work (the work being done or how much energy is expended to do useful work).

Formula for useful power of current source

Let the electrical circuit consist of a current source having resistance $r$ and a load (resistance $R$). We find the power of the source as:

[P=?I left(7right),]

where $?$ is the EMF of the current source; $I$ – current strength. In this case, $P$ is the total power of the circuit.

Let us denote $U$ as the voltage on the external section of the circuit, then we present formula (7) in the form:

[P=?I=UI+I^2r=P_p+P_0left(8right),]

where $P_p=UI=I^2R=frac{U^2}{R}(9)$ – useful power; $P_0=I^2r$ – loss power. In this case, the source efficiency is determined as:

The maximum useful power (power at the load) is produced by the electric current if the external resistance of the circuit is equal to the internal resistance of the current source. Under this condition, the useful power is equal to 50% of the total power.

During a short circuit (when $Rto 0;;Uto 0$) or in idle mode $(Rto infty ;;Ito 0$), the useful power is zero.

POWER DELIVERED IN THE EXTERNAL CIRCUIT

. (2)

From formula (2) it is clear that during a short circuit (R0) and at R, this power is zero. For all other finite values ​​of R, the power P1> 0. Consequently, the function P1 has a maximum. The value of R corresponding to the maximum power can be obtained by differentiating P1 with respect to R and equating the first derivative to zero:

. (3)

From formula (3), taking into account the fact that R and r are always positive, and E? 0, after simple algebraic transformations we get:

R= r. (4)

Consequently, the power released in the external circuit reaches its greatest value when the resistance of the external circuit is equal to the internal resistance of the current source.

In this case, the current strength in the circuit (5)

equal to half the short circuit current. In this case, the power released in the external circuit reaches its maximum value equal to

. (6)

When the source is closed to an external resistance, then current flows inside the source and at the same time a certain amount of heat is released at the internal resistance of the source. The power expended to release this heat is equal to

. (7)

Consequently, the total power released in the entire circuit is determined by the formula

= I2(R+r) = IE (8)

Relationship between useful power and efficiency

Efficiency factor (efficiency) is a dimensionless quantity, expressed numerically as a percentage. Efficiency is denoted by the letter η.

The formula looks like:

η = A/Q,

Where:

  • A – useful work (energy);
  • Q – energy expended.

As the efficiency increases in various engines, it is permissible to build the following line:

  • electric motor – up to 98%;
  • ICE – up to 40%;
  • steam turbine – up to 30%.

In terms of power, efficiency is equal to the ratio of useful power to the total power delivered by the source. In any case, η ≤ 1.

Important! Efficiency and Ppol are not the same thing. In different work processes, they achieve the maximum of one or the other.

Obtaining maximum energy at the output of the IP

For your information. To increase the efficiency of cranes, injection pumps or aircraft engines, it is necessary to reduce the friction forces of mechanisms or air resistance. This is achieved by using a variety of lubricants, installing higher-class bearings (replacing sliding with rolling), changing the wing geometry, etc.

The maximum energy or power at the output of the IP can be achieved by matching the load resistance Rн and the internal resistance R0 of the IP. This means that Rн = R0. In this case, the efficiency is 50%. This is quite acceptable for low-current circuits and radio devices.

However, this option is not suitable for electrical installations. To avoid wasting large amounts of power, the operating mode of generators, rectifiers, transformers and electric motors is such that the efficiency is approaches 95% and above.

Achieving maximum efficiency

The formula for the efficiency of a current source is:

η = Pн/Ptotal = R/Rн+r,

Where:

  • Pn – load power;
  • Ptotal – total power;
  • R is the total resistance of the circuit;
  • Rн – load resistance;
  • r – internal resistance of IT.

As can be seen from the graph shown in Fig. higher, the power Pn tends to zero as the current in the circuit decreases. The efficiency, in turn, will reach its maximum value when the circuit is open and the current is zero; if there is a short circuit in the circuit, it will become zero.

If we look at an elementary heat engine consisting of a piston and a cylinder, then its compression ratio is equal to the expansion ratio. Increasing the efficiency of such a motor is possible if:

  • initially high parameters: pressure and temperature of the working fluid before expansion begins;
  • bringing their values ​​closer to environmental parameters at the end of expansion.

Achieving ηmax is possible only with the most effective change in the pressure of the working component in the rotational movement of the shaft.

For your information. The thermal efficiency increases with increasing proportion of heat supplied to the working fluid, which is converted into work. The supplied heat is divided into two types of energy: internal in the form of temperature and pressure energy.

It will be interesting➡ Total resistance

Mechanical work, in fact, is performed only by the second type of energy. This gives rise to a number of disadvantages that slow down the process of increasing efficiency:

  • some of the pressure goes to the external environment;
  • achieving maximum efficiency is impossible without increasing the percentage of pressure energy used for conversion into work;
  • it is impossible to increase the efficiency of heat engines without changing S the surface of pressure application, and without removing this surface from the point of rotation;
  • the use of only a gaseous working fluid does not contribute to increasing η of heat engines.

To achieve a high efficiency of a heat engine, you need to make a number of decisions. The following device models contribute to this:

  • introduce another working fluid with different physical properties into the expansion cycle;
  • make the most of both types of energy of the working fluid before expansion;
  • generate additional working fluid directly during gaseous expansion.

Information. All modifications to internal combustion engines in the form of: a turbocharger, the organization of multiple or distributed injection, as well as increasing air humidity, bringing the fuel to a state of steam during injection, did not produce tangible results in a sharp increase in efficiency.

Reactive coefficient

In another way, it is called the power factor and is a dimensionless quantity introduced to calculate the reactive component. Scientifically speaking, it shows how much the phase of the alternating current flowing through the load shifts from the voltage that appears across it. Numerically, it is taken to be equal to the cosine of the shift. Mathematically, this shift is interpreted as the cosine of the angle between the vector values ​​of current and voltage.

In simple words, the power factor, denoted φ, indicates that part of the consumed electricity that is converted into useful work. For example, with cos φ = 0.9, ninety percent of the total energy will be spent on performing a useful action, and the remaining ten will be considered losses. Therefore, if the passport for any device indicates that the power of the product is 500 W, and cos φ = 0.5, then its total energy consumption will be 500/0.5 = 250 VA.

That is, the coefficient φ is found from the ratio of the energy consumed by the device to the total power value. Often, the equipment passport also indicates the component φ (the nature of the load). It can be resistive-capacitive or resistive-inductive. In this case, the coefficient itself is respectively leading or lagging.

If the voltage in the circuit changes according to a sinusoidal law, and the current according to a non-sinusoidal law, then the load will not have any reactive component, and the coefficient is assumed to be equal to the main wave (first harmonic). Non-sinusoidal refers to distortions of the electrical signal associated with harmonics that dominate the fundamental frequency.

In mathematics, the formula for finding the power factor is the expression: cos φ= P/S. Therefore, the higher its value, the less energy the device consumes from the network. There are various ways to raise the value of cos φ, even to a maximum value of one, called correction. The most effective is to add a complex electronic unit to the circuit, placed at the input of the device.

Definition and formula of useful power

It is worth considering the concept of useful power and the formula using the example of an electrical circuit. The power that the power source (PS), in particular current, develops in a closed circuit will be the total power.

Circuit diagram

The circuit includes: a current source with EMF (E), an external circuit with a load R and an internal circuit of a power supply whose resistance is R0. The formula for total (total) power is:

Ptotal = E*I.

Here I is the value of the current passing through the circuit (A), and E is the value of the emf (B).

Attention! The voltage drop in each section will be equal to U and U0, respectively.

So the formula will take the form:

Ptotal = E*I = (U + U0) *I = U*I + U0*I.

It can be seen that the value of the product U*I is equal to the power supplied by the source to the load and corresponds to the useful power Ppol.

The value equal to the product U0*I corresponds to the power that is lost inside the power supply for heating and overcoming the internal resistance R0. This is the power loss P0.

The values ​​​​substituted into the formula show that the sum of useful and lost power makes up the total power of the IP:

Ptotal=Pfloor+P0.

Important! When operating any apparatus (mechanical or electrical), the useful power will be that which remains to perform the required work after overcoming the factors causing losses (heating, friction, counteracting forces).

Formula for working in physics

For mechanical work, the formula is simple: A = F x S. If deciphered, it is equal to the applied force along the path along which this force acted. For example, we lift a load weighing 15 kg to a height of 2 meters. The mechanical work to overcome the force of gravity will be equal to F x S = mxgx S. That is, 15 x 9.8 x 2 = 294 J. If we are talking about the amount of heat, then A in this case is equal to the change in the amount of heat. For example, water was heated on the stove. Its internal energy has changed, it has increased by an amount equal to the product of the mass of water and the specific heat capacity by the number of degrees by which it has heated up.

Power supply parameters

In practice, you often have to think about what the power of the current source should be, how many watts (W) or kilowatts (kW) are needed to ensure uninterrupted operation of the device. To understand the essence, you need to have an understanding of such concepts used in physics as:

  • total circuit energy;
  • EMF and voltage;
  • internal resistance of the power supply;
  • losses within the individual entrepreneur;
  • useful power.

Regardless of what kind of energy the source produces (mechanical, electrical, thermal), its power should be selected with a small margin (5-10%).

When a load is connected to the circuit, which will consume energy from a current source (IT), the current will do work. The energy released by all consumers and circuit elements included in the circuit (wires, electronic components, etc.) is called total energy. The energy source can be any: generator, battery, thermal boiler. The total energy value will be the sum of the energy spent by the source on losses and the amount spent on performing specific work.

What is the difference between these two concepts?

EMF is electromotive force, it is the voltage that external forces (chemical reaction, electromagnetic induction) create inside a current source (IT). EMF is the force of movement of electrical charges in IT.

EMF definition

For your information. It seems possible to measure the value of E (EMF) only in idle mode (idle). Connecting any load causes a loss of voltage inside the power supply.

Voltage (U) is a physical quantity representing the potential difference ϕ1 and ϕ2 at the output of the voltage source (VS).

The definition of the concept of total power is used not only in relation to electrical circuits. It is also applicable to electric motors, transformers and other devices capable of consuming both active and reactive components of energy.

Similar losses occur at the internal resistance of a two-terminal network. For a battery, this is the electrolyte resistance; for a generator, this is the winding resistance, the lead wires of which come out of the housing.

You won’t be able to simply measure R0 with a tester; you definitely need to know it to calculate P0 losses. Therefore, indirect methods are used.

An indirect method for determining R0 is as follows:

  • in x.x mode measure E (B);
  • when the load Rн (Ohm) is turned on, Uout (V) and current I (A) are measured;
  • The voltage drop inside the source is calculated using the formula:

U0=E-Uout.

At the last stage, R0=U0/I is found.

Circuit for measuring R0

Source discharge capacity

The value depending on the strength of the discharge current is called the discharge capacity of the source. This is an electric charge that the source gives off during operation depending on the load current. This value can be considered constant conditionally. Thus, a starter battery with a discharge capacity C = 55 A*h will work for 10 hours at a discharge current of 5.5 A. When starting a cold or malfunctioning vehicle, the battery can be discharged in a few minutes.

In order to find the residual discharge capacity, charge-discharge cycles are performed. They are performed using load resistors. The discharge to the load resistance is carried out to the minimum permissible values ​​of the electrolyte density. In this case, the operating time under load is measured. This is relevant during seasonal maintenance of batteries to identify self-discharge processes.


Car battery discharge capacity

The internal resistance of current sources is an important quantity. The methods used to reduce it are direct ways to increase the output power of the source, which means increasing the productivity of two-terminal networks. Correct measurement and calculation of the impedance of equivalent circuits allows us to bring the two-terminal network closer to the ideal source.

Dependence of power on current, power formula, physical meaning

The first mention of electricity is found in the experiments of the ancient Greek philosopher Thales. It was he who first discovered that objects attract when rubbed. The term of the same name was introduced at the beginning of the 17th century by the English physicist Gilbert, after experiments carried out with magnets. The French scientist Coulomb is considered the father of the science of electricity - it was after the discovery of the law that received his name that electrical engineering began its victorious march, which continues to this day. This law states that two point charges in an airless environment interact with a force directly proportional to their modules and inversely proportional to the distance between them squared. Let's find out what the concept of electricity is?

It will be interesting➡ Discrete signal. What is the difference between a discrete signal and a continuous one?

In short, this is the directed movement of a flow of charged particles. The bodies through which they pass are called conductors. Each conductor has a certain resistance to electric current, which

And, before moving on to the basic laws, a few words about charged particles: they can be, relatively speaking, positive and negative. Like charges repel, and unlike charges attract.

Now, let's move on to the main thing

The basis of the science of electricity is Ohm's law.

An experiment carried out by this German physicist led him to the following belief: the current I passing through a metal conductor is proportional to the voltage at its ends, or I = U/R

Here, voltage is the difference, figuratively speaking, of “pressures” created by two points in an electrical circuit. It is measured in volts.

Electric current is the number of electrons that a section of an electrical circuit allows through and is measured in amperes. Resistance is the property of a chain to prevent this movement. In honor of the aforementioned physicist, it is measured in ohms.

In other words, a conductor through which a current of 1 ampere passes at a voltage of 1 volt has a resistance of 1 ohm.

All other electrical equipment “dances” because of this.

About the power of electric current

In physics, power is the rate at which work is performed. It doesn't matter which one. The faster this operation is carried out, the greater the power of the person performing it, be it a person, a mechanical device or something else, is considered.

The same is the case with electric current: its power is the ratio of the work done by moving electric charges to the period of time it took for this to happen.

Simply put, in order to obtain 1 watt of electrical power when the current source has a voltage of 1 volt, it is necessary to pass a current of 1 ampere through the conductor. In other words, power (P) can be calculated by multiplying electrical voltage and current by each other:

P = U*I.

Having remembered this simple formula, in practice you can calculate the power. For example, if the values ​​of current and resistance are known, but there is no information about voltage, we can use Ohm’s law by substituting I * R into the formula instead. It turns out that the power is equal to the square of the electric current multiplied by the resistance.

This law will also come to the rescue if the voltage and resistance values ​​are known. In this case, substituting I = U/R instead of the current value, we obtain a power value equal to the square of the voltage divided by the resistance.

Efficiency of an electrical appliance

As you know, ideal machines and mechanisms do not exist (that is, those that would completely convert one type of energy into another or generate energy).

During operation of the device, part of the expended energy is necessarily spent on overcoming unwanted resistance forces or is simply “dissipated” into the environment.

Thus, only part of the energy we expend goes to perform useful work, for which the device was created.

A physical quantity that shows what part of the useful work is expended is called the efficiency factor (hereinafter referred to as efficiency).

  1. In other words, efficiency shows how efficiently the work expended is used when it is performed, for example, by an electrical appliance.
  2. Efficiency (denoted by the Greek letter η (“this”)) is a physical quantity that characterizes the efficiency of an electrical device and shows what part of the useful work is expended.
  3. Efficiency is determined (as in mechanics) by the formula:
  4. η = AP/AZ 100%
  5. If the power of the electric current is known, the formulas for determining the CFC will look like this:
  6. η = PP/PЗ 100%
  7. Before determining the efficiency of some device, it is necessary to determine what is useful work (what the device is designed to do) and what is expended work (the work being done or how much energy is expended to do useful work).
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