JEE Main · 2023 · 31 Jan 2023 · Shift 2 · Current Electricity

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The H amount of thermal energy is developed by a resistor in 10 s when a current of 4A is passed through it. If the current is increased to 16 A, the thermal energy developed by the resistor in 10 s will be:

(A)H
(B)16 H✓ Correct
(C) $\frac{H}{4}$
(D)4 H

Answer: (B)

Solution

The heat produced in a resistor over a fixed time is

H = I^{2} R t

, so for the same resistance and the same ten seconds it grows as the square of the current. Raising the current from

4 A

16 A

multiplies it fourfold, and the heat therefore grows by a factor of

4^{2} = 16

. The thermal energy developed in the same interval is

16 H

JEE Main · 2023 · 31 Jan 2023 · Shift 2 · Single correct option

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