A capacitor with capacitance C is connected in series to a resistor with resistance R and a battery with emf E. The circuit is completed at time t=0. (a) In terms of E, R and C, how much energy is stored in the capacitor when it is fully charged? (b) The power output of the battery is P_E=E_i, with i given by Eq. (26.13). The electrical energy supplied in an infinitesimal time interval dt is P_Edt. Integrate from t=0 to t->∞ to find the total energy supplied by the battery. (c) The rate of consumption of electrical energy in the resistor is P_Rdt. Integrate from t=o to t->∞ to find the total energy consumed by the resistor. (d) What fraction of the total energy supplied by the battery is stored in the capacitor? What fraction is consumed in the resistor?

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