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Engineering and Tech / Engineering Circuit Analysis 8 / Chapter 9 / Problem 9.8

Engineering Circuit Analysis | 8th Edition | ISBN: 9780073529578 | Authors: William H. Hayt Professor Emeritus, Jack Kemmerly, Steven M. Durbin

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Find an expression for iL(t) in the circuit of Fig. 9.27, valid for t > 0, if vC(0) = 10

Chapter 9, Problem 9.8

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QUESTION:

Find an expression for \(i_L(t)\) in the circuit of Fig. 9.27, valid for t > 0, if \(v_C(0^- ) = 10\ V\) and \(i_L (0^- ) = 0\). Note that although it is not helpful to apply Thévenin techniques in this instance, the action of the dependent source links \(v_C\) and \(i_L\) such that a first-order linear differential equation results.

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QUESTION:

Find an expression for \(i_L(t)\) in the circuit of Fig. 9.27, valid for t > 0, if \(v_C(0^- ) = 10\ V\) and \(i_L (0^- ) = 0\). Note that although it is not helpful to apply Thévenin techniques in this instance, the action of the dependent source links \(v_C\) and \(i_L\) such that a first-order linear differential equation results.

ANSWER:

Step 1 of 4

Consider the given circuit,

$D:\Acadecraft problem sovle\project 090\TroopMessenger_1647425676579.png$

The current flowing through the capacitor is,

The current flowing through inductor is,

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