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  4. Six similar bulbs are connected as shown in the figure with a DC source of emf E. and zero intern a resistance. The ratio of power consumption by the bulbs when (i) all are glowing and (ii) in the situation whet two from section A and one from section B an glowing, will be :

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Q. Six similar bulbs are connected as shown in the figure with a $DC$ source of $emf\, E$. and zero intern a resistance. The ratio of power consumption by the bulbs when (i) all are glowing and (ii) in the situation whet two from section $A$ and one from section $B$ an glowing, will be :Physics Question Image

NEETNEET 2019Current Electricity

Solution:

(i) All bulbs are glowing
$R_{eq} = \frac{R}{3} + \frac{R}{3} = \frac{2R}{3} $
Power $\left(P_{i}\right) = \frac{E^{2}}{R_{eq}} = \frac{3E^{2}}{2R} $ ....(1)
(ii) Two from section A and one from section B are glowing.
$ R_{eq} = \frac{R}{2} + R = \frac{3R}{2} $
Power $\left(P_{f}\right) = \frac{2E^{2}}{3R} $ .....(2)
$ \frac{P_{i}}{P_{f}} = \frac{3E^{2}3R}{2R 2E^{2}} = 9: 4 $

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