Question

The rate of heat generated by electric current in a resistive circuit is expressed in

• A. $IR$
• B. $I{R}^2$
• C. $I^{2}R$
• D. $\sqrt{IR}$

Answer 1

The correct option is C

$I^{2}R$

The explanation for the correct option

Option C: $I^{2}R$

1. When a current is flowing in a circuit having resistance, there is heat dissipation due to the resistance. This is called the heating effect of electric current.
2. The amount of heat produced in the wire is directly proportional to time, resistance, and the square of the current flowing through the wire.
3. The mathematical expression of heat energy produced in the wire is given by $H=i^{2}Rt$.
4. For knowing the rate of heat generation, we take the ratio of heat energy produced and time $H=i^{2}Rt,orRateofheatgeneration=\frac{H}{t}=i^{2}R$.

Thus, the rate of heat generated by electric current in a resistive circuit is expressed in $I^{2}R$.

Hence, option (C) is correct.