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A capacitor of capacitance C(1)=0.1F is ...

A capacitor of capacitance `C_(1)=0.1F` is charged by a battery of EMF `E_(1)=100V` and internal resistance `r_(1)=1Omega` by putting switch S in position 1 as shown in figure 3.257.
(a) Calculate heat generated across `R=99Omega` resistor during charging of capacitor.
(b) Now the switch is thrown to position 2 at instant `t=0`, calculate current `I(t)` through the circuit, consisting of capacitor and battery of EMF `E_(2)=50V` and internal resistance `r_(2)=1Omega`.
(c) Calculate heat generated in `50V` battery.

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