Q.

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 :

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a

C2

b

C

c

infinite

d

zero

answer is D.

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Detailed Solution

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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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 :