Q.

In the circuit when switch S1 is closed and S2 is open, the ideal voltmeter shows a reading 18V. When switch S2 is closed and S1 is open, the reading of voltmeter 24V. When S1 and S2 both are closed the voltmeter reading will be

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a

14.4 V

b

20.6 V

c

24.2 V

d

10.8 V

answer is A.

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Detailed Solution

When S1  is closed  E6+r6=18→1When only  S2 closed E12+r12=24→2Dividing (1) and (2)  12+r6+r12=34 24+2r=18+3r r=6ΩWhen both are closed 6×1218=4ΩV18=E4+r4E6+r6V6=26+64+6V=12×1210=14.4V
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In the circuit when switch S1 is closed and S2 is open, the ideal voltmeter shows a reading 18V. When switch S2 is closed and S1 is open, the reading of voltmeter 24V. When S1 and S2 both are closed the voltmeter reading will be