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Q.

 In the circuit shown in figure, a 12V battery with unknown internal resistance r is connected to another battery with unknown emf E and internal resistance 1Ω and to a resistance of 3Ω carrying a current of 2A. The current through the rechargeable battery is 1A in the direction shown. Find the unknown current i, internal resistance r and the emf E.

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a

i=-3A

E=5V, r=2Ω

b

i=3A

E=-5V, r=5Ω

c

i=3A

E=-5V, r=2Ω

d

i=8A

E=5V, r=2Ω

answer is D.

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Detailed Solution

Applying loop law equation in upper loop, we have

E+12-ir-1=0

Applying loop law equation in lower loop, we have where

i=1+2=3A

E+6-1=0

Solving these two equations, we get

E=-5V and r=2Ω

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