Question

Consider a RLC series circuit that satises the equation Ldi/dt + Ri + 1/C (integral) idt = v(t), with i(t) and v(t) sinusoidal signals, the excitation signal v(t) = 200 sqrt(2) cos(w(t - 4.1667)) with t in [ms], and the parameters R = 100 [ ], L = 1 [H], C = 5 [C] and f = 60 [Hz]. Use the properties of the phasor transformation to: (a) determine the equivalent impedance of the system (b) determine the mathematical expression for the current i(t) (c) draw the phasor diagram of the current and the voltages in each element of the circuit (d) calculate the power factor and the power supplied by the source.

Answer 1