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 P′1=V24R1=14P1
Similarly, P′2=14P2 Hence, The power consumed in bulbs in series in a 110 V line is P′=P′1P′2P′1+P′2
P′=14P=62.5W Therefore, the power consumed in each bulb is P′2=31.25W