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  4. Following figures show different combinations of identical bulb(s) connected to identical battery(ies). Which option is correct regarding the total power dissipated in the circuit? <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/ea29a175b5ee2ed7a9836417d08d14a2-.png /> <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/9f8340496a631a4d018cc7c5d23bece2-.png />

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Q. Following figures show different combinations of identical bulb(s) connected to identical battery(ies). Which option is correct regarding the total power dissipated in the circuit?
image
image

KVPYKVPY 2012

Solution:

Power consumed in each case is
(P) $\quad P=\frac{V^{2}}{3 R}$
image
(Q)$P=\frac{V^{2}}{R / 3}=\frac{3 V^{2}}{R}$
image
(R)$P=\frac{V^{2}}{R}$
image
(S)$P=\frac{(2 V)^{2}}{R}=\frac{4 V^{2}}{R}$
image
So, order of increasing power consumption is
$P >R >Q >S$.