A choke used to filter ripple in a bench power supply is modelled as an ideal inductor

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

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

Problem

A choke used to filter ripple in a bench power supply is modelled as an ideal inductor L=19.1 mHL = 19.1\,\mathrm{mH}, its winding resistance neglected, feeding a separate load resistor R=120 ΩR = 120\,\Omega. A 5.0 kHz5.0\,\mathrm{kHz} ripple voltage (an ideal sinusoidal source) drives this series combination, and the filtered signal is taken as the phasor voltage across the load RR, with ground at the far end of RR. A trap is then connected across the load, from that filtered node to ground: a series branch of an inductor L2=5.0 mHL_2 = 5.0\,\mathrm{mH}, a capacitor C2=200 nFC_2 = 200\,\mathrm{nF}, and the coil's own winding resistance R2=8.0 ΩR_2 = 8.0\,\Omega. ((a)) Without the trap, find the corner frequency of the choke stage and the magnitude and phase of its frequency response at 5.0 kHz5.0\,\mathrm{kHz}. ((b)) Find the resonant frequency f0f_0, the quality factor QQ, and the half-power bandwidth of the trap branch on its own. ((c)) With the trap connected, find the magnitude of the response at 5.0 kHz5.0\,\mathrm{kHz}, and the factor by which the trap reduces the ripple at the node.

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