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Heating Effect of Electric Current

Two conductor...

Question

Two conductors of resistance 2 R and R are connected in series in a battery circuit. The ration of heats developed in them is :

A

2 : 1

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B

1 : 2

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C

1 : 3

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D

1 : 4

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Solution

The correct option is A 2 : 1
In series current I is same therefore, by Joule's law,

$H = I^{2} R t$

$H \propto R$ $R_{1} : R_{2} = 2 R : R = 2 : 1$

$\frac{H_{1}}{H_{2}} = \frac{R_{1}}{R_{2}} = 2 : 1$

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