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JEE Main 2023 (11 Apr, Shift 1) · Electrical Power & Heating Effect

Electrical Power & Heating Effect question from JEE Main 2023 (11 Apr, Shift 1)

Q21JEE Main 2023 · 11 APR · SHIFT 1Easy

Electrical Power & Heating Effect

Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same time for parallel to series will be:

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Answer: (a)

Same $V$ and $t$ : $H = \frac{V^2 t}{R} \propto \frac{1}{R}$ .
Parallel $R_p = \frac{R}{2}$ , series $R_s = 2R$ .
$\frac{H_p}{H_s} = \frac{R_s}{R_p} = \frac{2R}{R/2} = 4 : 1$ .
So the answer is (a) 4 : 1.

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