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(l) 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.