FOR THE ABOVE RLL CIRCUIT USE THE FOURIER TRANSFORM THAT IS

FOR THE ABOVE RLL CIRCUIT, USE THE FOURIER TRANSFORM, THAT IS USE THE FOURIER TRANSFORM REPRESENTATION OF R, L, C IMPEDANCES TO: a. DETERMINE THE TRANSFER FUNCTION V_R/V_S b. WHAT TYPE OF FILTER IS PESCRIBER BY PART A? LOW PASS OR HIGH PASS OR BAND PASS OR SAND STOP? c. DETERMINE THE TRANSFER FUNCTION V-c/Vs d. WHAT TYPE OF FILTER IS DESCRIBER BY PART C 3

Solution

a.

Vr/Vs =ir/i.c =R/C(t)

b.the filter used is low A lowpass filter is an electronic filter that passes signals with a frequency higher than a certain cutoff frequency and attenuates signals with frequencies lower than the cutoff frequency. The amount of attenuation for each frequency depends on the filter design.

pass filter

c.transfer function is RI(t)

the filter is band pss filter