4. The steady-state current I flowing in a circuit that contains a resistance R 5, capacitance,C = 10, and inductance L 4 in series is given by: E I 1 + (2ποL - R +(2L 2oC Where E = 2 and o = 2 are the input voltage and angular frequency respectively. Compute the value of I.

The current in an Series RL circuit is described by the following differential equation:R i(t) + L di(t)/(dt) = V0where R is the resistance, L is the inductance, and V0 is the voltage of the source. a) Show that this is a separable differential equation, and then solve it. (Find i(t) in terms of R, L, V0). b) For a Series RL circuit with R = 50 (Ohm) and L = 10 (Henry) and the constant voltage V0 = 100 (Volt) applied at t = 0 by closing of a switch, find the current at t = 0.5 second.