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JEE Main 2022 (28 Jul, Shift 2) · Electrical Power & Heating Effect

Electrical Power & Heating Effect question from JEE Main 2022 (28 Jul, Shift 2)

Q26JEE Main 2022 · 28 JUL · SHIFT 2Medium

Electrical Power & Heating Effect

An electrical bulb rated 220 V, 100 W, is connected in series with another bulb rated 220 V, 60 W. If the voltage across combination is 220 V, the power consumed by the 100 W bulb will be about _______ W.

Numerical answer type. Work it out, then open the answer.

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Answer: 14

  1. R1=2202100=484 ΩR_1 = \frac{220^2}{100} = 484\ \Omega, R2=220260≈806.7 ΩR_2 = \frac{220^2}{60} \approx 806.7\ \Omega.
  2. I=220484+806.7≈0.170I = \frac{220}{484 + 806.7} \approx 0.170 A.
  3. P1=I2R1=(0.170)2×484≈14P_1 = I^2R_1 = (0.170)^2 \times 484 \approx 14 W.
  4. So the 100 W bulb consumes about 14 W.
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