Question

An AC voltage of the form Δv = (110.0 V)sin(330t) is applied to a series RLC circuit. If R = 32.0 Ω, C = 28.0 μF, and L = 0.220 H, find the following. (a) impedance of the circuit Ω (b) rms current in the circuit A (c) average power delivered to the circuit W.

Answer 1

Given:

a)

The angular frequency is,

Then, the impedenace of the circuit is,

b)

Maximum value of voltage and current are:

Then, rms value of current is,

c)

Power factor is,

Then, average power of the circuit is,