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Calculus / Fundamentals of Differential Equations 8 / Chapter 5.7 / Problem 2E

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

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An RLC series circuit has a voltage source given by E(t)=

Chapter 5, Problem 2E

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QUESTION:

Problem 2E

An RLC series circuit has a voltage source given by E(t)= 40 cos 2t V, a resistor of 2Ω , an inductor of 1/4 H, and a capacitor of 1/13 F. If the initial current is zero and the initial charge on the capacitor is 3.5 C, determine the charge on the capacitor for t > 0.

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QUESTION:

Problem 2E

An RLC series circuit has a voltage source given by E(t)= 40 cos 2t V, a resistor of 2Ω , an inductor of 1/4 H, and a capacitor of 1/13 F. If the initial current is zero and the initial charge on the capacitor is 3.5 C, determine the charge on the capacitor for t > 0.

ANSWER:

Solution:

Step 1

In this problem we have to find charge in given $LRC$ series circuit.

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