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? Options: A . &nbspThe potential at point P is 6 V B . &nbspThe potential at point Q is +0.5 V C . &nbspIf a voltmeter is connected across the 6 V battery it will read 7 V D . &nbspIf a voltmeter is connected across the 6 V battery it will read 5 V

Which of the following statements is correct about the circuit shown in figure w

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?

Options:

A . The potential at point P is 6 V

B . The potential at point Q is +0.5 V

C . If a voltmeter is connected across the 6 V battery it will read 7 V

D . If a voltmeter is connected across the 6 V battery it will read 5 V

Answer: Option C
:
C
Total resistance = 4 + 1 + 0.5 + 0.5 = 6ohm
Net voltage in the circuit is 6 V
Current

l = \frac{6}{6} = 1 A

in the anticlockwise direction

V_{P R} = 1 \times 4 = 4 V

Since R is connected to earth

V_{R} = 0

hence

V_{p} = 4 V

V_{S Q} = 0.5 \times 1 = 0.5 V

S is at a higher potential than Q

V_{Q} = - 0.5 V

Current is being forced into the 6 V battery in the opposite direction.Hence

V_{6} = E + l_{r} = 6 + 1 X

1 = 7 V

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