Question

The resistance of a resistor is reduced to half of its initial value. In doing so, if other parameters of the circuit remain unchanged, the heating effects in the resistor will become

• A. Two times
• B. Half
• C. One-fourth
• D. Four times

Answer 1

The correct option is A

Two times

Step 1: Given Data

Resistance is reduced to half of its initial value, keeping other parameters of the circuit unchanged, i.e., voltage is constant.

Step 2: Formula Used

The heating effect due to the resistor, $R$ is given by $H=\frac{V^{2}t}{R}$, where $V$ is the voltage, $R$ is the resistance, and $t$ is the time.

Step 3: Calculating the change in the heating effect

As we can see from the formula that the heating effect is inversely proportional to the resistance, so if the resistance is reduced to half, the heating effects will be two times.

Hence, option A is the correct answer.