Question

Heat produced per second due to a current in a resistor of 4 Ω is 400 joules. Calculate the potential difference across the resistor.

Answer 1

Given:

Resistance, R = 4 Ω

Heat produced per second (Power), P = 400 J/s

Potential difference, V = ?

The power dissipated in a resistor is given by the formula:

`P = V^2/R`

⇒ V² = P × R

⇒ `V = sqrt(P × R)`

⇒ `V = sqrt(400 × 4)`

⇒ `V = sqrt(1600)`

⇒ V = 40 V

∴ The potential difference across the resistor is 40 V.