(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.

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please solve d part
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.
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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