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
B
100
C
Both
D
Neither

Solution

The correct option is A 25Resistances 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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