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Heating Effect of Electric Current

A simple circ...

Question

A simple circuit consisting of three resistors is shown above. $R_{1}$ has twice the resistance of $R_{2}$ . If the switch remains open, determine the ratio of heat dissipated of $R_{1}$ to $R_{2}$ .

A

1:3

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B

1:2

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C

1:1

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D

2:1

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E

3:1

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Solution

The correct option is A 2:1
When switch is kept open, same amount of current flows in both the resistors.
Heat dissipated is given by $i^{2} R t$ .
Hence ratio of heat dissipated in $R_{1}$ and $R_{2}$ is $\frac{R_{1}}{R_{2}} = 2 : 1$

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