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

Question

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

Quantrex Academy · Accepted Answer

Correct answer: D. Statement I is false but Statement II is true

Wheatstone bridge with P = 1Ω, Q = 2Ω, R = 2Ω, S = 4Ω

\frac{P}{Q} = \frac{R}{S} = \frac{1}{2}

→ Bridge is balanced, no current through middle 1Ω.

R_{AB}

: Upper (3Ω) and Lower (6Ω) in parallel =

\frac{3 \times 6}{9} = 2Ω

Total resistance = 1 + 2 = 3Ω
Current

I = \frac{9}{3} = 3

A
Power between A and B:

P = I^2 R_{AB} = 9 \times 2 = 18

W
Heat in 1 min =

18 \times 60 = 1080

J

The heat generated in 1 minute between points A and B in the given...

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