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JEE Main 2013 (23 Apr, Shift 1) · Electrical Power & Heating Effect

Electrical Power & Heating Effect question from JEE Main 2013 (23 Apr, Shift 1)

Q52JEE Main 2013 · 23 APR · SHIFT 1Medium

Electrical Power & Heating Effect

Which of the four resistances P, Q, R and S generate the greatest amount of heat when a current flows from A to B?

Figure

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Answer: (b)

  1. Upper branch P+Q=6 ΩP + Q = 6\ \Omega, lower branch R+S=3 ΩR + S = 3\ \Omega; currents split i:2ii : 2i.
  2. HP=2i2H_P = 2i^2, HQ=4i2H_Q = 4i^2.
  3. HR=(2i)2×1=4i2H_R = (2i)^2 \times 1 = 4i^2, HS=(2i)2×2=8i2H_S = (2i)^2 \times 2 = 8i^2.
  4. So the answer is (b) S.
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