Consider the following circuit. t=0 vs (t) (+ +1 Find the time constant. T i(t) Assume that v, (t) = 3 e 2tV, R=2, and L = 1H. Write the differential equation for i(t) in amperes. Hint: Enter the current i(t) as i and its first derivative i' (t) as diff(i, t). L momo S = www ip(t) Find the complete solution for i(t). i(t) A R Find a particular solution for i(t). Hint: Try a particular solution of the form A t exp(-2t). A

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
Consider the following circuit.
t=0
vs (t)
Find the time constant.
i(t)
Assume that v, (t) = 3 e 2tV, R = 22, and L = 1 H.
Write the differential equation for i(t) in amperes.
Hint: Enter the current i(t) as i and its first derivative i' (t) as diff(i, t).
T=
L
momm
S
i(t)
Find a particular solution for i(t).
Hint: Try a particular solution of the form At exp(-2t).
A
ip(t)
Find the complete solution for i(t).
=
R
Transcribed Image Text:Consider the following circuit. t=0 vs (t) Find the time constant. i(t) Assume that v, (t) = 3 e 2tV, R = 22, and L = 1 H. Write the differential equation for i(t) in amperes. Hint: Enter the current i(t) as i and its first derivative i' (t) as diff(i, t). T= L momm S i(t) Find a particular solution for i(t). Hint: Try a particular solution of the form At exp(-2t). A ip(t) Find the complete solution for i(t). = R
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