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A charged capacitor of capacitance C and having charge Q is to be connected with another uncharged capacitor of capacitance C1 through a resistor R as shown in figure. The value of C1 for heat liberated in R to be minimum is :

a
C2
b
C
c
infinite
d
zero

detailed solution

Correct option is D

Common potential = QC+C1Liberated heatH=Q22C-12C+C1QC+C12 =Q22C-Q22(C+C1)=Q2C12C(C+C1)which is minimum at C1 = 0 (It means open circuit).

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