An RC high-pass network has corner frequency

PHYSICS · Multi-part · Fermi University Physics · Electronics, Instrumentation & Communication · Circuit foundations and passive networks · Signals, systems, control and digital signal processing

Electronics for Measurement, Ch Phasors, impedance and the frequency response

Problem

f_c = 200\,\mathrm{Hz}

, with frequency response

H(jf) = \dfrac{jf/f_c}{1+jf/f_c}

. It is driven by an ideal sinusoidal source giving the input phasor

\underline V_{\rm in} = 5.0\angle0^\circ\,\mathrm V

(peak) at

f=50\,\mathrm{Hz}

. ((a)) State the gain in decibels and the phase of

H(jf)

f=50\,\mathrm{Hz}

. ((b)) Find the output phasor

\underline V_{\rm out}

and write

v_{\rm out}(t)

as an explicit time-domain sinusoid.

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