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We generally know that power is the rate at which work is done. When this work is done in an electrical circuit with respect to time, it is called electrical power.
This electrical power depends on two main factors. These factors are:
1. The electric current (I) passes through the electrical circuit.
2. The potential difference/voltage (V) across the two ends of the electrical circuit.
Actually, if a source of voltage V sends a current I through a circuit for time t, then the electrical work done in that circuit is W = VIt.
As we see
Therefore electrical power
This is the formula to find electrical power in an electric circuit. Now to solve various problems or easily memorize this formula you can use this electrical power triangle shown below.
As we know from Ohm’s law V = IR, where R is the resistance.
Now if we substitute the value of the voltage into the power formula then we get
Units of Electrical Power
The SI unit of electric power is Joule per second (J/s) or Watt (W) and the CGS unit of electric power is Erg per second (erg/s).
As we know
1 Watt: 1 watt is the measure of electrical power of an appliance which consumes energy at the rate of 1 joule in 1 second.
Larger units like kilowatts (kW) or megawatts (MW) are often used for more significant power levels.
You must know – 1 kW = 10³ W, 1 MW = 10⁶ W
Dimensions of Electrical Power
The dimension of electrical work is [ML²T⁻²] and the dimension of time is [T].
As we know
Therefore the dimension of electrical power = [ML²T⁻²][T⁻¹] = ML²T⁻³.
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