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Question

Two electric bulbs, each designed to operate with a power of 500 W in a 220 V line, are connected in series with a 110 V line. The power consumed in each bulb is

A
125 W
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B
93.75 W
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C
62.5 W
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D
31.25 w
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Solution

The correct option is D 31.25 w
The power consumed in bulbs in series in a 220 V line is
P=P1P2P1+P2=2500001000=250W
When bulbs are connected in bulbs in series in a 110 V line
P1=V24R1=14P1

Similarly, P2=14P2
Hence,
The power consumed in bulbs in series in a 110 V line is
P=P1P2P1+P2

P=14P=62.5W
Therefore, the power consumed in each bulb is P2=31.25W

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