Two electric bulbs marked 25W ? 220V and 100W ? 220V are connected in series to

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Question
Two electric bulbs marked 25W ? 220V and 100W ? 220V are connected in series to a 440Vsupply. Which of the bulbs will fuse?
Options
A. 25 W
B. Both
C. 100 W
D. Neither

Correct Answer

25 W

Explanation

Resistances of both the bulbs are

R1=V^2/P1 = 220^2/25

R2 = V^2/P2 = 220^2/100

Hence $R 1 g t; R 2$

When connected in series, the voltages divide in them in the ratio of their resistances. The voltage of 440 V devides in such a way that voltage across 25 w bulb will be more than 220 V. Hence 25 w bulb will fuse.

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