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