1. The switch in the circuit shown in the Figure has been closed for a long time before it is opened at t = 0. SW R3 R₁ ww 10 ΚΩ ww 15 ΚΩ i(t) + V₂ с R₂ 36 ΚΩ 18 V R₁ 30 ΚΩ v(t) T9μF a. Find the initial voltage Vo across the capacitor at t = 0. b. After switch is opened, find the resistance seen from the capacitor. C. Find the time constant t. d. Find voltage v(t) across the capacitor for t 20 and Sketch or plot v(t) for t > 0. Solution:
1. The switch in the circuit shown in the Figure has been closed for a long time before it is opened at t = 0. SW R3 R₁ ww 10 ΚΩ ww 15 ΚΩ i(t) + V₂ с R₂ 36 ΚΩ 18 V R₁ 30 ΚΩ v(t) T9μF a. Find the initial voltage Vo across the capacitor at t = 0. b. After switch is opened, find the resistance seen from the capacitor. C. Find the time constant t. d. Find voltage v(t) across the capacitor for t 20 and Sketch or plot v(t) for t > 0. Solution:
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter24: Resistive-inductive-capacitive Parallel Circuits
Section: Chapter Questions
Problem 1RQ: An AC circuit contains a 24 resistor, a 15.9-mH inductor, and a 13.3F capacitor connected in...
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![1. The switch in the circuit shown in the Figure has been closed for a long time before it is opened at t = 0.
SW
R₁
R3
M
M
10 ΚΩ
15 ΚΩ
+
i(t)
V₂
R₂
R4
18 V
v(t)
с
9 μF
· 36 ΚΩ
30 ΚΩ
a. Find the initial voltage Vo across the capacitor at t = 0.
b. After switch is opened, find the resistance seen from the capacitor.
c.
Find the time constant T.
d.
Find voltage v(t) across the capacitor for t 20 and Sketch or plot v(t) for t > 0.
Solution:
-5.8824r
u(t) V
Answer: d.
v(t) = 8e 0.17
= 8e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffce510f1-05a6-4dc6-b057-ea3f3821c925%2Fb74bc21f-09d9-4613-87e0-c41676c2fe62%2Fzk0z9z8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. The switch in the circuit shown in the Figure has been closed for a long time before it is opened at t = 0.
SW
R₁
R3
M
M
10 ΚΩ
15 ΚΩ
+
i(t)
V₂
R₂
R4
18 V
v(t)
с
9 μF
· 36 ΚΩ
30 ΚΩ
a. Find the initial voltage Vo across the capacitor at t = 0.
b. After switch is opened, find the resistance seen from the capacitor.
c.
Find the time constant T.
d.
Find voltage v(t) across the capacitor for t 20 and Sketch or plot v(t) for t > 0.
Solution:
-5.8824r
u(t) V
Answer: d.
v(t) = 8e 0.17
= 8e
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