find the work done by battery after the switch is closed ,
if initial charge were zero on all the capacitors
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work done by battery after the switch is closed , = CV²
Explanation:
2C & 2C are in Series
Hence net of 2C & 2C = 1/(1/2C + 1/2C)
= 2C/(1 + 1)
= 2C/2
= C
C & C are now in parallel
Net = C + C = 2C
Work Done = (1/2) * Capacitance (Voltage)²
= (1/2) (2C) V²
= CV²
work done by battery after the switch is closed , = CV²
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