Question

100 joules of heat is produced each second in a 4 ohm resistance. Potential difference across the resistor is:

• A. 40 V
• B. 100 V
• C. 20 V
• D. 50 V

Hint:

To find the potential difference across a resistor, use the formula \( P = \frac{V^2}{R} \) and solve for \( V \).

Answer 1

The Correct Option is B

The power \( P \) dissipated in a resistor is given by the formula: \[ P = \frac{V^2}{R} \] Where: - \( P = 100 \, \text{J/s} = 100 \, \text{W} \) (power) - \( R = 4 \, \Omega \) (resistance) Now, substitute the values into the formula: \[ 100 = \frac{V^2}{4} \] Solving for \( V^2 \): \[ V^2 = 100 \times 4 = 400 \] \[ V = \sqrt{400} = 20 \, \text{V} \] Thus, the potential difference across the resistor is 100 V.