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Electrostatic Potential And Capacitance

Question
CBSEENPH12037381

Given a battery, how would you connect two capacitors, in series or in parallel for them to store the greater (i) total charge (ii) total energy?

Solution
Parallel capacitance is given by CP=C1+C2
Series capacitance is given by 1CS=1C1+1C2
C> Cs as seen from above equations.   ..... (1)

i) Total charge in the capacitor is given by Q=CV
 from (1), parallel combination is required for storing greater charge.

ii) Total energy stored in the capacitor is given by U = 12CV2.
From (1), parallel combination of capacitors is required for storing greater energy.

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