(d). Find the Norton equivalent of the entire circuit except for Rx. Use this to find the current ix and voltage ex across Rx as shown. Hint: Since the same Reg is used for Thévenin and Norton equivalents, you should again find this circuit has a negative equivalent resistance.
(d). Find the Norton equivalent of the entire circuit except for Rx. Use this to find the current ix and voltage ex across Rx as shown. Hint: Since the same Reg is used for Thévenin and Norton equivalents, you should again find this circuit has a negative equivalent resistance.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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please solve d part

Transcribed Image Text:Consider the circuit below.
Ra = 2 k2
3iy
Rx = 1 k.
R = 3k?
V = 10V
Ra = 2 k?
R = 3 k2
I= 2 mA
Re = 4 k?
(a). Use nodal analysis, with the nodes as shown, to find the current ix and voltage vx across resistor Rx as
shown.
(b). Use loop analysis, with the loops as shown, to find the current ix and voltage vx across resistor Rx as
shown.
(c). Find the Thevenin equivalent of the entire circuit except for Rx. Use this to find the current ix and voltage
ex across Rx as shown.
Hint: You should find this circuit has a negative equivalent resistance. This is because of the way Rx influ-
ences the dependent current source 3i, and its control current i,: we have i, = 0.5ix, as they both combine
to make 3iy. It's ok to have a negative equivalent resistance –it just means that the network effectively gener-
ates power instead of dissipates it (due to the dependent sources). So don't get rid of the the negative sign
for the equivalent resistance, you need it to obtain the correct answer.
(d). Find the Norton equivalent of the entire circuit except for Rx. Use this to find the current ix and voltage vx
across Rx as shown.
Hint: Since the same Rey is used for Thévenin and Norton equivalents, you should again find this circuit
has a negative equivalent resistance.
Obviously you should get the same answer for each part. Make sure you show your work for each part.
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