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Question

Two bulbs marked 200 W, 250 V and 100 W, 250 V are joined in series to a 250 V supply. Power consumed in the circuit is


A

33.33 W

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B

66.67 W

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C

100 W

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D

50 W

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Solution

The correct option is B

66.67 W


We know that, power, P = V2R

R = V2P

For first bulb, R = 2502200 = 312.5 Ω

For second bulb, R = 2502100 = 625 Ω

When connected in series, total resistance, R = 312.5 + 625 = 937.5 Ω

So power consumed = V2R = 2502937.5 = 66.67 W


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