Consider the circuit shown below left. + ww 100 Q 5V J W SW1 500 mH ww 100 £2 +vth Rth SW1 500 mH a. The switch and inductor can viewed as being attached to Thevenin equivalent circuit shown (above right). Show that Vth=2.5V and Rth=50 2. b. Derive the governing equation for the inductor current using KVL and state the initial condition. c. Solve the governing equation to determine the current through the inductor with time if the switch is closed at t=0.
Consider the circuit shown below left. + ww 100 Q 5V J W SW1 500 mH ww 100 £2 +vth Rth SW1 500 mH a. The switch and inductor can viewed as being attached to Thevenin equivalent circuit shown (above right). Show that Vth=2.5V and Rth=50 2. b. Derive the governing equation for the inductor current using KVL and state the initial condition. c. Solve the governing equation to determine the current through the inductor with time if the switch is closed at t=0.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Please, answer a-f
Transcribed Image Text:Consider the circuit shown below left.
ww
100 Ω
5 V
SW1
500 mH
ww
100 Q
www
Rth
Vth
SW1
O
a
m
500 mH
a. The switch and inductor can viewed as being attached to Thevenin equivalent circuit shown
(above right). Show that Vth=2.5V and Rth=50 2.
b. Derive the governing equation for the inductor current using KVL and state the initial
condition.
c. Solve the governing equation to determine the current through the inductor with time if the
switch is closed at t=0.
d. What is the time constant t for the circuit? What is the current at t=t?
e. Plot the current across the inductor vs. time.
f. Plot the voltage across the inductor vs. time.
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