The three resistance of equal value are arranged in the different combinations shown below. Arrange them in increasing order of power dissipation. [2003]

Question

Smart Achievers · Accepted Answer

(1)

As we know, $P = I^{2} R$

Here $I$ is constant $∴$ $P \propto R$

Power dissipation, $P_{4} = I^{2} (\frac{3}{2} R) = 1.5 I^{2} R$

$∴$ $III < II < IV < I$

Solution

Q.
The three resistance of equal value are arranged in the different combinations shown below. Arrange them in increasing order of power dissipation. [2003]

1 III < II < IV < I

2 II < III < IV < I

3 I < IV < III < II

4 I < III < II < IV

Ans.
(1)

As we know, $P = I^{2} R$

Here $I$ is constant $∴$ $P \propto R$

Power dissipation, $P_{4} = I^{2} (\frac{3}{2} R) = 1.5 I^{2} R$

$∴$ $III < II < IV < I$

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