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V_C is the ideal voltmeter in the figure. Resistance of the resistor shown is R. Initially the switch is in position 2 when charging of the capacitor starts. Initially the capacitor was uncharged. The switch in circuit shifts automatically from 2 to 1 when V_C gt 2V//3 and goes back to 2 from 1 when V_C lt V//3. The ideal voltmeter reads voltage across capacitor as plotted. What is the period T of the wave from in terms of R and C ? , |
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Answer» `3RC 1n 3 ` For this , `V/3 = (2V)/2 E^(-t_1//tau)` or `t_1 = tau1n 2 = RC 1n2` `t_2` is time for CHARGING of capacitor from `V//3 "to" 2V//3`. So `int_(VC//3)^(2VC//3) (dq)/(VC-q) = int_(0)^(t_2) (dt)/(RC)` or `t_2= RC1n 2` `T = t_1 + t_2 = 2RC 1n 2 `  .
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