
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question

Transcribed Image Text:1. The switch in the circuit shown in the following figure has been in position 'B' for a long time. At t = 0,
it moves to position 'A'. Using differential equation, find Vc (t) for t ≥ 0.
a. Write a differential equation in vc(t).
b. Find a and wo.
c. Find the characteristic equation and the roots of the characteristic equation.
d. Find the final value of voltage ve(t) cross the capacitor.
e. Find voltage v.(t) cross the capacitor for t≥ 0 and sketch it.
Solution:
60V
5 mH
80 Ω
www
A
t = 0
2 μF
B
+
Vc(t)
in
15 ΚΩ
9 ΚΩ
ww
40V
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: State the given data
VIEW Step 2: a. Finding the differential equation for t>0.
VIEW Step 3: b. Finding Alpha and Wo.
VIEW Step 4: c. Finding the characteristic equation and it's roots.
VIEW Step 5: d. Finding the final voltage of Vc(t) across the capacitor.
VIEW Step 6: e. Finding the initial conditions
VIEW Step 7: Finding the solution of the differential equation.
VIEW Step 8: Sketching the voltage across the capacitor for t>=0.
VIEW Solution
VIEW Step by stepSolved in 9 steps with 19 images

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