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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275378

Chapter 16.3, Problem 29E

Textbook Problem

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Electrical Circuits

In Exercises 29 and 30, use the electrical circuit differentialequation

where *R* is theresistance (in ohms),*C* is the capacitance(in farads), *L* is theinductance (in henrys),*E*(*t*)is the electromotiveforce (in volts), and *q* is the charge on thecapacitor (in coulombs).Find the charge *q* asa function of time *t* for the electrical circuit described. Assume that

To determine

**To calculate:** The charge *q* as a function of time *t* for the electrical circuit describedfor the differential equation is

**Given information:**

The given differential equation is

**Concept Used:**

If

**Calculation:**

Consider the given differential equation is

The coefficients of the differential terms are,

Now putting these in the differential equation

The characteristics equation is

First, we have to find the solution of the characteristics equation

Therefore,

Let

Multivariable Calculus

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