First slide

Electrical power

Question

When two ends of a metallic wire are connected to the terminals of a battery and the heat dissipated in the wire is 10 watt. Now the wire is cut into three identical pieces and these three pieces are joined in parallel combination. If the ends of this combination are connected to the terminals of the same battery, what will be heat dissipated in each wire?

Moderate

A

30W
B

20W
C

25W
D

5W

Solution

R' = Resistance of the combination = R/3
Now heat dissipated H $\propto$ 1/R
$∴ \frac{H'}{H} = \frac{R}{R / 3} = 3 \Rightarrow H' = 3 x 10 W = 30 W$

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