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**Hint:**The rate at which work is done in an electric circuit is called electric power. Basically, power is nothing but the amount of work done in a specific time. Power can be of various kinds depending upon the nature of current.

**Complete answer:**

Types of power:

**DC POWER:-**The dc power is defined as a product of voltage and current. It is produced by the fuel cell, battery and generator.

**AC POWER:-**It is further classified into three types apparent, active and reactive power.

**Apparent power:-**The apparent power is the useless power or idle power. It is represented by the symbol S, and their SI unit is volt-amp.

S=${{V}_{rms}}{{I}_{rms}}$

where, $S$ is apparent power, ${{V}_{rms}}$ is the RMS voltage and ${{I}_{rms}}$ is the RMS current.

**Active power:-**The active power (P) is the real power which is dissipated in the circuit resistance.

$P={{V}_{\max }}{{I}_{mav}}C\cos \phi $

where, $P$ is the real power in watts, ${{V}_{rms}}$ is the RMS voltage, ${{I}_{rms}}$ is the RMS current and $\phi $ is the impedance phase angle between voltage and current.

**Reactive power:-**The power developed in the circuit reactance is called reactive power (Q). It is measured in volt-ampere reactive.

Q=${{V}_{rms}}{{I}_{rms}}\sin \varphi $

where, $Q$ is the reactive power in watts, ${{V}_{rms}}$ is the RMS voltage, ${{I}_{rms}}$ is the RMS current and $\varphi $ is impedance angle of phase between voltage and current.

**Note:**The relation between the apparent, active and reactive power is ${{S}^{2}}={{Q}^{2}}+{{P}^{2}}$. The ratio of the real to the apparent power is called power factor, and their value lies between $0$ and $1$ . Keep in mind the small difference between the different types of power.

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