Plumber’s LCR Analogy Valve P1 P2 Rubber Diaphragm Flywheel

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Presentation transcript:

Plumber’s LCR Analogy Valve P1 P2 Rubber Diaphragm Flywheel The “plumber’s analogy” of an LC circuit is a rubber diaphragm that has been stretched by pressure on the top (P1) side. When the valve starts the flow, the diaphragm forces water past the flywheel, which begins to spin. After the diaphragm has become flat, the momentum of the flywheel forces the diaphragm to be stretched in the other direction, and the cycle repeats. P3 Valve = Switch Rubber Diaphragm = Capacitor Flywheel = Inductor Pressure = Potential Water Flow = Current

What is the best variable to plot for the LRC lab? ADMITTANCE PH421 F05 Do not distribute 11/16/05 What is the best variable to plot for the LRC lab? ADMITTANCE Amplitude of I/Vext w -> The undriven system will oscillate at Errata: in general, the driven resonance frequency (see PS #2b to solve for it, it will be close) L8 LRC circuit

Capacitor AC Circuits The AC current through a capacitor leads the capacitor voltage by p/2 rad or 900. The phasors for VC and IC are perpendicular, with the IC phasor ahead of the VC phasor.

C C circuit I V=q/C Vext Look for Purely capacitive circuit: PH421 F05 Do not distribute 11/16/05 C circuit C I V=q/C Vext Look for Purely capacitive circuit: Current leads driving voltage (ICE) Magnitude depends on frequency dependent on w L8 LRC circuit

C C circuit input I V=q/C Vext output Phasor diagram ICE Impedance, Z PH421 F05 Do not distribute 11/16/05 C circuit input C I V=q/C Vext output Phasor diagram ICE Impedance, Z I Vext Admittance, 1/Z L8 LRC circuit