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23 Nov 2019

An RLC circuit consists of a 25 mH inductor, a 0.001 μFcapacitor and a variable resistor connected in series.

The initial charge on the capacitor at t = 0 when the switch isclosed is 1 mC.

What is the critical resistance Rc for this circuit (theresistance that makes the oscillation of charge criticallydamped)?

Also, generate three plots of the charge on the capacitor vs.time:

1.) Q(t) from t = 0 to t = 1 ms for R = 0.01 x Rc

2.) Q(t) from t = 0 to t = 1 ms for R = 0.1 x Rc

3.) Q(t) from t = 0 to t = 1 ms for R = Rc from t = 0

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