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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?


A
25
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B
100
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C
Both
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D
Neither
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Solution

The correct option is A 25

Resistances of both the bulbs are

$$R1=\dfrac{V^2}{P_1} = \dfrac{220^2}{25}$$

R2 =$$\dfrac{ V^2}{P2} = \dfrac{220^2}{100}$$

hence$$R_1: R_2$$

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.


Physics

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