An electric guitar's passive tone control is a simple RC low-pass built from and

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

An electric guitar's passive tone control is a simple RC low-pass built from

R = 4.7\,\mathrm{k}\Omega

and

C = 22\,\mathrm{nF}

, with the pickup treated as an ideal voltage source and the output taken across

C

with respect to the instrument's ground. The same guitar's pedal holds a separate resonant "wah" filter, analysed here on its own and modelled as a series branch: an inductor

L = 100\,\mathrm{mH}

, a capacitor

C_2 = 100\,\mathrm{nF}

, and the coil's own winding resistance

R_2 = 100\,\Omega

, all in series. ((a)) Find the corner frequency of the tone-control stage and the magnitude and phase of its frequency response for a played note at

440\,\mathrm{Hz}

(concert A). ((b)) Find the resonant frequency

f_0

, the quality factor

Q

, and the half-power bandwidth of the wah branch.

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