   Chapter 6.4, Problem 33E

Chapter
Section
Textbook Problem

Electric Circuits In Exercises 33 and 34, use the differential equation for electric circuits given by L d I d t + R I + E In tills equation. I is the current, K is the resistance, L is the inductance, and E Is the electromotive force (voltage).Solve the differential equation for the current given a constant voltage E 0 .

To determine

To calculate: The solution of the differential equation LdIdt+RI+E for the electric circuit where L is the inductance, E is the electro motive force, I is the current, R is the resistance and the Eo is the constant voltage in the electric circuits.

Explanation

Given:

The differential equation for the electric circuit,

LdIdt+RI+E …… (1)

Formula Used:

The linear differential equation of the form:

dIdt+PI=Q

The integrating factor is ePdt

Calculation:

Consider the differential equation LdIdt+RI+E

Divide the equation (1) by L,

dIdt+(RL)I=EL

The obtained equation is a linear differential equation of the form of:

dIdt+PI=Q

For, the integrating factor,

ePdt=eRLdt=eRtL

Now, multiply the equation with the integrating factor on

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Convert the expressions in Exercises 8596 radical form. 22/3

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 1-6, simplify the expression. 11(1x)

Calculus: An Applied Approach (MindTap Course List)

For the following set of scores, find the value of each expression: a. X b. (X)2 c. X2 d. (X +3)

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

In Exercises 2340, find the indicated limit. 28. limt3(4t22t+1)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

In Problems 33 – 38, solve each inequality. 33.

Mathematical Applications for the Management, Life, and Social Sciences

Multiply. (2+4x)(3x)

Trigonometry (MindTap Course List) 