9. Analytical calculation of the step response: Use the transfer function of

question 8 and derive analytically its step response. Note that the transfer

function of question 8 can be written as a standard 2nd - order transfer

function with dc gain equal to 1, natural frequency wn = and damping

factor

LC

RC

2. L

Refer to the lecture handout of week 3 for the derivation of its step

response.

Show that the step response is given by the following expression.

-BLt cos

R

08 (22C √(4LC – (RC)²)) t

Vc (t) = H(t) - e

RC

- (FALC (RC)))*sin (2LC √CALC - (RC)²) e

e

t

√(4LC —