Need help with this

1. RC CIRCUITS Starting with a circuit comprised of two capacitors connected in series with capacitance C1 = 4 pF and C2 = lpF with a total combined charge at I = 0 of Q0 2 50 C that are also connected in series with a resistor R = 2051: (a) What is the equivalent capacitance of this circuit? (b) Derive Kirchoff's loop law (closed loop: 2; V; = O) for this circuit using the fact that capacitance is dened as C = Q/V. (c) Derive the differential equation dictating the total amount of charge contained on the equivalent capac- itance of the circuit Ca, = Q,(),/ V. Show that this differential equation can be solved by a solution of the form (2,0,0) 2 QueMT. Calculate the time constant T of this circuit. (d) Over a period of time equal to 1', how much energy is dissipated by the resistor? (Use Q(t) to nd 1(1), then integrate the power expression P 2 FR)