Question

Which of the following terms does not represent electrical power in a circuit?

• A. ${\mathrm{I}}^2\mathrm{R}$
• B. ${\mathrm{IR}}^2$
• C. $\mathrm{VI}$
• D. $\frac{{\mathrm{V}}^2}{\mathrm{R}}$

Answer 1

The correct option is B

${\mathrm{IR}}^2$

Explanation for correct option:

Electric Power:

1. Electric power determines the rate of electrical energy transfer by an electrical circuit per unit of time in physics.
2. It is denoted by P, which is measured in SI units of one joule per second or watt.
3. According to ohms law, $V=IR$.
4. Power can be written as $\mathrm{VI}$, ${\mathrm{I}}^2\mathrm{R}$ and $\frac{{\mathrm{V}}^2}{\mathrm{R}}$. Where, $\mathrm{R}$ is the resistance in the circuit, $\mathrm{V}$ is the potential difference in the circuit, and $\mathrm{I}$ is the electric current.

Hence, option (B) is correct.

Explanation for the incorrect option:

1. It is defined as the amount of electrical energy transferred per unit time.
2. Power is the product of voltage across a conductor and current flowing through it.
3. Power can be written as $\mathrm{VI}$, ${\mathrm{I}}^2\mathrm{R}$ and $\frac{{\mathrm{V}}^2}{\mathrm{R}}$. Where, $\mathrm{R}$ is the resistance in the circuit, $\mathrm{V}$ is the potential difference in the circuit, and $\mathrm{I}$ is the electric current.

Hence, options (A), (C), and (D) are incorrect anf (B) is the correct answer.