In the circuit given below, a 100 W bulb B 1 and two 60 W bulbs B 2 and B 3 , are connected to a 250 V direct current source. If W 1 , W 2 and W 3 are the powers of the three bulbs then, which of the following statements is corect?

Question

In the circuit given below, a 100 W bulb B 1 and two 60 W bulbs B 2 and B 3 , are connected to a 250 V direct current source. If W 1 , W 2 and W 3 are the powers of the three bulbs then, which of the following statements is corect?, W 1 > W 2 = W 3, W 1 > W 2 > W 3, W 1 W 2 = W 3, W 1 W 2 W 3

MARKS App · Accepted Answer

P = V 2 R so, R = V 2 P ∴ R 1 = V 2 100 and R 2 = R 3 = V 2 60 Now, W 1 = 250 2 R 1 + R 2 2 · R 1 W 2 = 250 2 R 1 + R 2 2 · R 2 and W 3 = 250 2 R 3 W 1 : W 2 : W 3 = 15 : 25 : 64 or W 1 W 2 W 3 .

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