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Question

Which of the following statements is correct about the circuit shown in figure where 1 ohm and 0.5 ohm are the internal resistances of the 6 V and 12 V batteries respectively?


A
The potential at point P is 6 V
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B
The potential at point Q is +0.5 V
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C
If a voltmeter is connected across the 6 V battery it will read 7 V
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D
If a voltmeter is connected across the 6 V battery it will read 5 V
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Solution

The correct option is C If a voltmeter is connected across the 6 V battery it will read 7 V

Total resistance = 4 + 1 + 0.5 + 0.5 = 6 ohm
Net voltage in the circuit is 6 V
Current l=66=1 A in the anticlockwise direction
VPR=1× 4=4 V
Since R is connected to earth VR=0 hence Vp=4 V
VSQ=0.5× 1 =0.5 V
S is at a higher potential than Q
VQ=0.5 V
Current is being forced into the 6 V battery in the opposite direction.Hence V6 =E+lr=6+1 X
1 = 7 V


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