For a series RC high$-$pass filter, $($fig$8\mathrm{.}4)$ component values are given as $R=10k$ and $C=0\mathrm{.}01F.$ The amplitude of the source voltage is $10$ V peak$-$to$-$peak.

a$.$ Calculate the cut$-$off frequency in Hz $.$

b$.$ Calculate $V_{-}$o in magnitude when the source voltage has frequencies of $0\mathrm{.}4,0\mathrm{.}8,1\mathrm{.}2,1\mathrm{.}6,2,4,8kHz.$

For a series RLC circuit $($fig $9\mathrm{.}1),$ component values are given as $R=1kD,L=1mH$ and $C=1F.$ The frequency of the voltage supply is given as $160$ Hz and the amplitude is given as $10$ V peak$-$to$-$peak.

a$.$ Calculate the impedance $($Z$).$

b$.$ Calculate is$($t$).$

c$.$ Calculate voltage for each component.

d$.$ Plot the phasor diagrams and calculate the phase angle between source voltage and current.

For a parallel RLC circuit $($fig$9\mathrm{.}4),$ component values are given as $R=1k,L=1mH$ and $C=22$ nF $.$ The frequency of the voltage supply is given as $10$ kHz and the amplitude is given as $10$ V peak$-$to$-$peak.

a$.$ Calculate the impedance $($Z$).$

b$.$ Calculate the currents for all components.