Electric Circuits and Networks, Ist Edition by Pearson

486

11 RC AND RLC CIRCUITS IN TIME-DOMAIN

30. The values of

ω

n

and

ξ

for a parallel RLC circuit with unknown

parameters are to be found with the help of a sine wave gener-

ator and oscilloscope. Suggest a suitable experimental proce-

dure and explain how the values may be calculated from the

observations.

31. A series RLC circuit with zero damping (i.e., with R  0) is

driven by a sinusoidal voltage source of unit amplitude. The

angular frequency of the source coincides with the value of

ω

n

of the circuit. Show that the zero-state response for capacitor

voltage in this case is  0.5 sin

ω

n

t – 0.5 (

ω

n

t) cos

ω

n

t if the

input is unit amplitude sine function. ...