Question

A sinusoidal voltage Δv = 41.0 sin 100t, where Av is in volts and t is in seconds, is applied to a series RLC circuit with L = 150 mH, C = 99.0 μF, and R = 62.0 Ω. 

(a) What is the impedance of the circuit? 

(b) What is the maximum current? 

(c) Determine the numerical value for w in the equation i = Imax sin (ωt - φ). 

(d) Determine the numerical value for in the equation i = Imax sin (ωt - φ). 

Answer 1

Given is:-

Now,

part - a

The impedence of the ckt is given by

by plugging all the values we get

which gives us

Part - b

The maximum current is

by plugging the values we get

which gives us

Part - c

The numerical value for w in the given equation is

Part - d

Numerical value for   in the given equation is

by plugging the values we get

which gives us