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In find the current when the circuit is in

A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill ISBN: 9781111827052 44

Solution for problem 58E Chapter 5.1

A First Course in Differential Equations with Modeling Applications | 10th Edition

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A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill

A First Course in Differential Equations with Modeling Applications | 10th Edition

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Problem 58E

Problem 58E

In Problem 57 find the current when the circuit is in resonance.

Reference : Problem 57

Find the charge on the capacitor and the current in an LC circuit when E(t) = E0 cos γt V, q(0) = q0 C, and i(0) = i0 A.

Step-by-Step Solution:

Solution

In this question we have to find the current when the circuit is in resonance

when,  and  .

Step 1

Resonance occurs when

=>  leads to

when reaches maximum is it called the maximum resonance and the frequency is called resonant frequency

At resonance

Therefore the current is

.

Step 2 of 1

Chapter 5.1, Problem 58E is Solved
Textbook: A First Course in Differential Equations with Modeling Applications
Edition: 10
Author: Dennis G. Zill
ISBN: 9781111827052

A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052. This full solution covers the following key subjects: current, Find, Circuit, capacitor, cos. This expansive textbook survival guide covers 109 chapters, and 4053 solutions. The answer to “In find the current when the circuit is in resonance.Reference : Find the charge on the capacitor and the current in an LC circuit when E(t) = E0 cos ?t V, q(0) = q0 C, and i(0) = i0 A.” is broken down into a number of easy to follow steps, and 40 words. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. The full step-by-step solution to problem: 58E from chapter: 5.1 was answered by , our top Calculus solution expert on 07/17/17, 09:41AM. Since the solution to 58E from 5.1 chapter was answered, more than 245 students have viewed the full step-by-step answer.

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In find the current when the circuit is in