A uniform heating wire of resistance 36 Ω is connected across a… | JEE Main 2021 (1 Sep, Shift 2)

Q29JEE Main 2021 · 1 SEP · SHIFT 2Easy

Electrical Power & Heating Effect

A uniform heating wire of resistance 36 $\Omega$ is connected across a potential difference of 240 V. The wire is then cut into half and potential difference of 240V is applied across each half separately. The ratio of power dissipation in first case to the total power dissipation in the second case would be 1: x, where x is ____________

Numerical answer type. Work it out, then open the answer.

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Answer: 4

Case 1: $P_1 = \frac{240^2}{36} = 1600\ \text{W}$ .
Each half has $18\ \Omega$ : $P = \frac{240^2}{18} = 3200\ \text{W}$ ; two halves give $P_2 = 6400\ \text{W}$ .
$P_1 : P_2 = 1600 : 6400 = 1 : 4$ .
So $x = 4$ .

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