Current Electricity

JEE Main level, numerical answer, medium

280 of 380

Question 280 of 380

The heat generated in 1 minute between points AA and BB in the given circuit, when a battery of 9 V with internal resistance of 1Ω1 \Omega is connected across these points is ____\_\_\_\_ J.

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Answer: 1080

Wheatstone bridge with P = 1Ω, Q = 2Ω, R = 2Ω, S = 4Ω
PQ=RS=12\frac{P}{Q} = \frac{R}{S} = \frac{1}{2} → Bridge is balanced, no current through middle 1Ω.
RABR_{AB}: Upper (3Ω) and Lower (6Ω) in parallel = 3×69=2Ω\frac{3 \times 6}{9} = 2Ω
Total resistance = 1 + 2 = 3Ω
Current I=93=3I = \frac{9}{3} = 3 A
Power between A and B: P=I2RAB=9×2=18P = I^2 R_{AB} = 9 \times 2 = 18 W
Heat in 1 min = 18×60=108018 \times 60 = 1080 J

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