The potential difference between points a and b of circuits shown in the figure is:
A
(E1+E2C1+C2)C2
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B
(E1−E2C1+C2)C2
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C
(E1+E2C1+C2)C1
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D
(E1−E2C1+C2)C1
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Solution
The correct option is B(E1+E2C1+C2)C1 As the potential across both capacitors is different, they are in series. Thus, net capacitance of series combination Cnet=C1C2C1+C2 Also, total emf of the circuit is Et=E1+E2 Charge on each capacitor is q=CnetEt=C1C2C1+C2.(E1+E2) Thus, potential difference between a and b, Vab=qC2