Ampere magnetic force. How to convert amps to watts and vice versa?


Charged particles, when moving longitudinally through a conductor, transfer an electric charge. The movement of charges is called electric current. In metal conductors this is the movement of electrons. The amount of charge transferred in the same period of time depends on the number of electrons and the speed of their movement.

Current strength when moving through the cross section of a metal conductor

What characteristics determine the current strength of 1 ampere?

If you place a pair of meter-long conductors in parallel in a vacuum at a distance of 1 m and pass an electric current through them, they will interact with each other. When electricity flows in one direction, conductors will attract, and in different directions they will repel. This phenomenon was considered as determining the unit of current. The value that caused the interaction of these conductors with each other with a force of 2 * 10-7 N was considered to be a current strength equal to 1 Ampere. The unit is named after A. M. Ampere, a Frenchman, and adopted for designation in the SI system.


Interaction of conductors in a vacuum when connecting electricity

Information. The rate at which charges flow through a metal conductor is what is measured in amperes. The amount of electricity of 1 coulomb (C) passing through the Ssection of the current conductor in 1 second (s) is equal to the current strength of 1 Ampere (A).

How many Watts are in 1 Ampere and amperes in a cotton wool?

To convert Watts to Amps at alternating or direct voltage you will need the formula:

I = P/U, where

I is the current strength in amperes; P – power in watts; U – voltage in volts, if the network is three-phase , then I = P/(√3xU), since it is necessary to take into account the voltage in each of the phases.

The root of three is approximately equal to 1.73.

That is,
in one watt there is 4.5 mAm (1A = 1000 mAm) at a voltage of 220 volts and 0.083 Am at 12 volts .
When it is necessary to convert current into power (find out how many watts are in 1 ampere), then use the formula:

P = I * U or P = √3 * I * U, if calculations are carried out in a 3-phase 380 V network.

This means that if we are dealing with a 12-volt automotive network, then 1 ampere is 12 Watts, and in a 220 V household electrical network, this current strength will be in an electrical appliance with a power of 220 W (0.22 kW). In industrial equipment powered by 380 Volts, as much as 657 Watts.

Ampere – Watt conversion table:

61224220380Volt
5 Watt0,830,420,210,020,008Ampere
6 Watt1,000,50,250,030,009Ampere
7 Watt1,170,580,290,030,01Ampere
8 Watt1,330,670,330,040,01Ampere
9 Watt1,50,750,380,040,01Ampere
10 Watt1,670,830,420,050,015Ampere
20 Watt3,331,670,830,090,03Ampere
30 Watt5,002,51,250,140,045Ampere
40 Watt6,673,331,670,130,06Ampere
50 Watt8,334,172,030,230,076Ampere
60 Watt10,005,002,500,270,09Ampere
70 Watt11,675,832,920,320,1Ampere
80 Watt13,336,673,330,360,12Ampere
90 Watt15,007,503,750,410,14Ampere
100 Watt16,678,334,170,450,15Ampere
200 Watt33,3316,678,330,910,3Ampere
300 Watt50,0025,0012,501,360,46Ampere
400 Watt66,6733,3316,71,820,6Ampere
500 Watt83,3341,6720,832,270,76Ampere
600 Watt100,0050,0025,002,730,91Ampere
700 Watt116,6758,3329,173,181,06Ampere
800 Watt133,3366,6733,333,641,22Ampere
900 Watt150,0075,0037,504,091,37Ampere
1000 Watt166,6783,3341,674,551,52Ampere

Ampere's Law - Definition

Conductors and dielectrics

Andre Ampère in 1920 defined the force with which a magnetic field affects a conductor placed in it. He established a direct relationship between the force arising around the conductor, the strength of the current, the magnitude of magnetic induction and the sine of the angle between the magnetic induction vector and the direction of the current. The expression looks like:

FA = B *I*L*sinα,

Where:

  • FA – Ampere force, N;
  • B – magnetic induction module;
  • I – current strength, A;
  • L – length of the conductor section, m.

The definition is valid for a conductor along which there is a constantly directed movement of electrons.

Ohm's law

One of the laws of electrical engineering, which was derived through experimental research, is empirical. With its help, a connection is established between the resistance of the conductor, the voltage at its ends and the strength of the current passing through the conductor. Ohm Georg, a German physicist, in 1826 conducted a series of experiments and derived a relationship between these quantities, which can be revealed as follows: the current strength is directly dependent on the potential difference at the ends of the conductor and inversely on its resistance. Ohm's Law Formula:

Net power

I = U/R,

Where:

  • I – current strength, A;
  • U – voltage (potential difference), V;
  • R – conductor resistance, Ohm.

An ampere is a unit of electricity in a section of a circuit, obtained by dividing a voltage of 1 volt by a resistance of 1 ohm.

Attention! From this expression, for example, it follows that if, with a constant resistance, the voltage is doubled, then the current will also double. If, at a constant voltage value, the resistance is doubled, then it will decrease by half.


Mnemonic rule for remembering the formula of Ohm's law

The formula is applied to a section of the circuit through which the movement of electrons occurs in one direction. In the case of alternating electricity with one phase, the formula changes form:

I = U/Z, where:

  • I – current strength, A;
  • U – potential difference, V;
  • Z – total (complex) resistance of the circuit, Ohm.

If the circuit includes, along with active components, also reactive components, the direction of movement of electrons has harmonic oscillations, then this law describes the dependence of complex quantities.

Multiples and submultiples

Ampere is a rather large unit of measurement. Its submultiple units are designated by prefixes, which can be found in the international notation for SI units. In practice, only a few multiples of units are used to denote amperes. In order to decompose an ampere into shares or find out how many small quantities are included in it, there is a special program - an electronic calculator-converter.

Stray currents

Very small currents are calculated in thousandths of an ampere - milliamperes (mA), this is 1 * 10-3A. An even smaller value of this value is indicated in microamperes (μA), this is 1 * 10-6 A. Electronic circuits of modern gadgets work with such values.

Heating devices, lighting devices and large household appliances pass currents of 0.1 A and higher through their circuits.

Interesting. The human nervous system begins to respond to the passage of a current of 0.5 mA. Its value exceeding 50 mA is already dangerous to health. The action of an alternating current of 100 mA for 2-3 seconds is fatal.


Sub-multiple and multiple units of electricity

When determining the standard and calibrating instruments, it was necessary to measure the magnitude of the interaction between a pair of coils with windings made of a large number of turns of wire of a very small cross-section.

Relationship with other SI units

What amperes are from the point of view of the connection between electrical units can be seen in the following examples:

  • at a current of 1 ampere (A), the cross-section of the conductor passes through itself a charge of 1 coulomb (C) in one second;
  • when a charge of 1 ampere is applied to the plates of a capacitor with a capacity of 1 F, the voltage on the plates will increase, increasing by 1 V every second;
  • the capacity of galvanic sources and batteries is measured in ampere-hours (A*h, or A*h), 1 A*h = 3660 C, this amount of electricity flows through the conductor in 1 hour;
  • the maximum output power (watt) of rectifiers or power supplies is the second most important characteristic of such sources and is marked V*A;
  • the amount of electricity in a lightning discharge is approximately 500 kiloamperes (1 kA = 10³ A);
  • a 0.1 kilowatt (kW) incandescent light bulb consumes 0.5 A.

The designation of the number of amperes is applied to the housings of circuit breakers and fuses.

Power units

Converting watts to amperes and vice versa is a relative concept, because these are different units of measurement. Amps are a physical quantity of electric current, that is, the speed at which electricity flows through a cable. Watt is the amount of electrical power, or the rate of electricity consumption. But such a translation is necessary in order to calculate whether the value of the current corresponds to the value of its power.

Relationship with other SI units

What amperes are from the point of view of the connection between electrical units can be seen in the following examples:

  • at a current of 1 ampere (A), the cross-section of the conductor passes through itself a charge of 1 coulomb (C) in one second;
  • when a charge of 1 ampere is applied to the plates of a capacitor with a capacity of 1 F, the voltage on the plates will increase, increasing by 1 V every second;
  • the capacity of galvanic sources and batteries is measured in ampere-hours (A*h, or A*h), 1 A*h = 3660 C, this amount of electricity flows through the conductor in 1 hour;
  • the maximum output power (watt) of rectifiers or power supplies is the second most important characteristic of such sources and is marked V*A;
  • the amount of electricity in a lightning discharge is approximately 500 kiloamperes (1 kA = 10³ A);
  • a 0.1 kilowatt (kW) incandescent light bulb consumes 0.5 A.

The designation of the number of amperes is applied to the housings of circuit breakers and fuses.

Converting amperes to watts and kilowatts

Knowing how to calculate the correspondence between amperes and watts is necessary in order to determine which device can withstand the power of connected consumers. Such devices include protective equipment or switching equipment.

Before choosing which circuit breaker or residual current device (RCD) to install, you need to calculate the power consumption of all connected devices (iron, lamps, washing machine, computer, etc.). Or, on the contrary, knowing the cost of a circuit breaker or protective shutdown device, determine which equipment will withstand the load and which will not.

To convert amperes to kilowatts and vice versa, there is a formula: I=P/U, where I are amperes, P are watts, U are volts. Volts are the mains voltage. In residential premises, a single-phase network is used - 220 V. In production, to connect industrial equipment, a three-phase electrical network is used, the value of which is 380 V. Based on this formula, knowing the amperes, you can calculate the correspondence to watts and vice versa - convert watts to amperes.

Situation: There is a circuit breaker. Technical parameters: rated current 25 A, 1-pole. You need to calculate what wattage of devices the machine can withstand.

The easiest way is to enter technical data into a calculator and calculate the power. You can also use the formula I=P/U, it will turn out: 25 A=x W/220 V.

x W=5500 W.

To convert watts to kilowatts, you need to know the following measures of power in watts:

  • 1000 W = 1 kW,
  • 1000 000 W = 1000 kW = MW,
  • 1000,000,000 W = 1,000 MW = 1,000,000 kW, etc.

This means 5500 W = 5.5 kW. Answer: a machine with a rated current of 25 A can withstand the load of all devices with a total power of 5.5 kW, no more.

Apply a formula with voltage and current data in order to select the type of cable based on power and current. The table shows the current correspondence to the wire cross-section:

Copper cores of wires and cablesCode cross-section, mm²Copper cores of wires, cables

Voltage 220 VVoltage 380 V
Current, Apower, kWtCurrent, Apower, kWt
1,5194,11610,5
2,5275,92516,5
4388,33019,8
64610,14026,4
107015,45033
168518,77549,5
2511525,39059,4
3513529,711575,9
5017538,514595,7
7021547,3180118,8
9526057,2220145,2
12030066260171,6

How to convert watt to ampere

You need to convert watts to amperes in a situation where you need to install a protective device and you need to choose what rated current it should have. It is clear from the operating instructions how many watts a household appliance connected to a single-phase network consumes.

The task is to calculate how many amperes in watts or what kind of socket to connect to if the microwave oven consumes 1.5 kW. For ease of calculation, it is better to convert kilowatts into watts: 1.5 kW = 1500 W. We substitute the values ​​into the formula and get: 1500 W / 220 V = 6.81 A. We round the values ​​up and get 1500 W in terms of amperes - microwave current consumption is at least 7 A.

If you connect several devices simultaneously to one protection device, then in order to calculate how many amperes there are in watts, you need to add all the consumption values ​​together. For example, the room uses lighting with 10 pcs LED lamps. 6 W, iron 2 kW and TV 30 W. First, all indicators need to be converted into watts, it turns out:

  • lamps 6*10= 60 W,
  • iron 2 kW=2000 W,
  • TV 30 W.

60+2000+30=2090 W.

Now you can convert amperes to watts, to do this we substitute the values ​​in the formula 2090/220 V = 9.5 A ~ 10 A. Answer: current consumption is about 10 A.

You need to know how to convert amps to watts without a calculator. The table shows the correspondence between the rate of electricity consumption and the current strength for single-phase and three-phase networks.

Ampere (A)Power, kWt)
220 V380 V
20,41,3
61,33,9
102,26,6
163,510,5
204,413,2
255,516,4
327,021,1
408,826,3
5011,032,9
6313,941,4

Current strength in everyday life

In order to protect household networks from short circuits and overloads, automatic circuit breakers are installed in the alternating electricity circuit. These are switches designed for limit values ​​at which the circuit is automatically disconnected.

So, a machine designed for 2 amperes will withstand a short-term load of up to 2 amperes; with a short-term load greater than 2 A, it will turn off. There is a concept called “time-current characteristic (TCC)”. This is a parameter that shows the dependence of the device’s response time on the ratio of the current passing through the switch to its rated response current.

VTX has letter indices that are applied to the body of the circuit breaker. They indicate the multiplicity of the installation of the electromagnetic disconnector to the rated current of the machine. This is the smallest value at which instantaneous shutdown will occur.

Letter indices denoting VTX are:

  • V (3 – 5* In);
  • C (5 – 10* In);
  • D (10 – 20* In).

When installing electrical wiring, the maximum power of consumers and the cross-section of the wires used are calculated. When making calculations, make sure that the maximum current does not exceed the permissible value for the selected cross-section.

Current strength and wiring parameters

To determine the required cross-section of electrical wiring conductors and the rating of circuit breakers, convert the total number of watts into amperes and obtain the value of the maximum continuous current.

The correlation between the cross-section of the cores and the maximum permissible current for wiring is carried out using tables provided by cable manufacturers. Depending on the manufacturer, the main indicators may differ slightly, but they must always comply with the current GOST 31996-2012.


An example of a table of correspondence between the cross-section of current-carrying conductors and the maximum permissible continuous current depending on the method of wiring

Sometimes they choose wiring not with the minimum allowable cross-section, but with a slightly larger one. This is justified, since the bandwidth reserve allows you to connect new electrical appliances without costly dismantling old ones and laying new cables.

The parameters of the circuit breakers installed in the electrical panel are selected so that it is guaranteed to trip if the current exceeds the value determined as the maximum permissible for the installed wiring.

The rated current of the machine (In) is calculated from the permissible current for the cable (Ip) using the following formula:

In <= Ip / 1.45

Usually, a machine with the maximum nominal value among the permitted ones is selected in order to minimize the likelihood of a shutdown when the circuit is heavily, but still permissibly, loaded.

Future prospects for the current unit

Once it is determined what amperes are, the future prospects for this unit can be considered. In 2011, at an international conference, the conditions for the upcoming revision of unit designations in the SI system were agreed upon.

The proposed new standards should improve the accuracy of various measurements in any time, metric and geographical vectors without loss of accuracy. The ampere will not suffer any special changes, except that its value will be designated depending on this number.

Today, an ampere is the result of an imaginary process in which the occurrence of a force between two conductors of dimensionless length is represented. In practice, this is impossible to reproduce, because there are no such long and thin wires. At the conference they decided to apply a new idea. It will be based on physical constants or atomic properties. This physical constant will be the charge of the electron.

Attention! Modern definition: 1 ampere is the movement of electrons corresponding to a flow of 1/1.6 * 10-19 elementary charges per second.

A practical tool is a single-electron pump, which allows you to move a fixed number of electrons during one cycle.

In the future, ampere is a measure of current strength, the definition of which is no longer described by a fictitious virtual installation, but has acquired a solid, fundamental basis.

Converting units of measurement - online unit converter

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If an arbitrary force in an inertial reference frame accelerates different bodies equally, then these bodies are assigned the same inertial mass. Fuel consumption

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SI prefixes

SI prefixes
MultiplicityConsoleDesignation
10-9nanon
10-6micromk
10-3Millim
10-2centiWith
10-1decid
101soundboardYes
102hectoG
103kiloTo
106megaM
109gigaG

*Note:

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