4) The circuit elements in the figure below are, R = 200\Omega, L = 200mH, and C = 20\mu F. The initial inductor current is -0.2A, and the initial capacitor voltage is 20V.\
a) Calculate the initial current in each branch of the circuit.\
b) Find $v(t)$ for $t > 0$. HINT: you will need the relation of current into / out of a capacitor.\
c) Find $i_L(t)$, for $t > 0$.\
d) Find $v(t)$ for $t > 0$, if R was reduced to 50\Omega.