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Q.

Arrange the order of power dissipated in the given circuits, if the same current is passing through all circuit and each resistor is ‘r’:

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a

$P_{1} > P_{2} > P_{3} > P_{4}$

b

$P_{2} > P_{3} > P_{4} > P_{1}$

c

$P_{3} > P_{2} > P_{4} > P_{1}$

d

$P_{4} > P_{3} > P_{2} > P_{1}$

answer is A.

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Detailed Solution

$P = i^{2} R_{eq}$

$R_{1} = \frac{R}{3}$

$R_{2} = 3 R$

$R_{3} = \frac{3 R}{2}$

$R_{4} = \frac{2 R}{3}$

$R_{2} > R_{3} > R_{4} > R_{1}$

Thus, $P_{2} > P_{3} > P_{4} > P_{1}$

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Arrange the order of power dissipated in the given circuits, if the same current is passing through all circuit and each resistor is ‘r’: