A resistor and a capacitor are connected in series across an ideal sinusoidal voltage…

PHYSICS · Multi-part · Fermi University Physics · Electronics, Instrumentation & Communication · Circuit foundations and passive networks · Circuit foundations and passive networks

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

Problem

A resistor

R = 100\,\Omega

and a capacitor

C = 2.2\,\mu\mathrm{F}

are connected in series across an ideal sinusoidal voltage source of

5.0\,\mathrm{V}

rms at

1.0\,\mathrm{kHz}

. The circuit has been running long enough that the sinusoidal steady state applies. ((a)) Find the series impedance

Z = R + \dfrac{1}{j\omega C}

of the combination in polar form. ((b)) Find the rms current supplied by the source. ((c)) Find the average power delivered by the source.

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