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

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

A
$P_{2} > P_{3} > P_{4} > P_{1}$
B
$P_{3} > P_{2} > P_{4} > P_{1}$
C
$P_{4} > P_{3} > P_{2} > P_{1}$
D
$P_{1} > P_{2} > P_{3} > P_{4}$

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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