There are 'n' number of identical electric bulbs, each is designed to draw a power p independently rom the mains supply. They are now joined in series across the main supply. The total power drawn by the combination is: [2025]

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Solution

Q.
There are 'n' number of identical electric bulbs, each is designed to draw a power p independently from the mains supply. They are now joined in series across the main supply. The total power drawn by the combination is: [2025]

1 np

2 $\frac{p}{n^{2}}$

3 $\frac{p}{n}$

4 p

Ans.
(3)

$R_{s} = R_{1} + R_{2} + R_{3} + . . . . . + R_{n}$

$\frac{V^{2}}{P_{s}} = \frac{V^{2}}{P} + \frac{V^{2}}{P} + . . . . . + \frac{V^{2}}{P_{n}}$

$P_{s} = \frac{P}{n}$

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