3-6 Calculate the magnitude and phase of the impedance.
f = 150s-1 w = 2p f = 942.5 rd/s
Z = R - i (1/wC) = X + i Y complex impeddance
|Z| = [R2 + (1/wC)2 ] 1/2 = 11.3 kW magnitude
f = tan-1( Y/X) = tan-1(1/wRC) = tan-1(0.53) = 28 deg angle made by x=R and y=(1/wC)
3-7 f =30def, what is f?
tan(30deg) = 1/wRC = 0.577
w = 1/(.577 R C) = 866 rd/s
f = w / 2 p = 138 Hz
3-11 fo = 1/ 2p sqrt(LC) = 112.5 Hz
3-17 At what frequency will this circuit act as a differentiator? --> Differentiator at T>>RC or T~100 RC
RC = .001 s
T ~ 100 RC =0.1 s
f < 1/T = 10 Hz