LC-Circuit: Consider the series LC-circuit shown in Fig. 4. 1. 11, in which, at t = 0,
Question:
(a) Before carrying out the mathematical analysis, describe what you think will happen to the charge on the capacitor.
(b) For t > 0, use Kirchoff's voltage law to determine the sum of the voltage drops around the circuit. Set it equal to zero to obtain a second-order differential equation involving L, Q, Q, and C. What are the initial conditions?
(c) Solve the IVP in (b) for the charge Q on the capacitor. Does your result agree with pan (a)?
(d) Obtain an explicit solution for L = 10 henries and C = 10-3 farads.
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Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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