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Question

Initial charges (with proper sign) on the plates of two identical capacitors , each of 1μF, are as shown. When both S1 and S2 are closed, the potential difference between A and B in volts will finally become :
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Solution

The potential difference across the two capacitors is the same. Let the charge across capacitor 1 be q . The charge across capacitor 2 is 80-q . Since the capacitances are same,
q=80qq=40μC
Potential difference =q/C=40V

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