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The Circuit Shown Below, Let (A) Write a Node Equation at Node 1 by Summing

Question 20

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the circuit shown below, let Vs=5V,R1=3kΩ,R2=2kΩ,R3=5kΩ,R4=1kΩ,gm=0.0005V _ { \mathrm { s } } = 5 V , R _ { 1 } = 3 \mathrm { k } \Omega , \mathrm { R } _ { 2 } = 2 \mathrm { k } \Omega , \mathrm { R } _ { 3 } = 5 \mathrm { k } \Omega , \mathrm { R } _ { 4 } = 1 \mathrm { k } \Omega , \mathrm { g } _ { \mathrm { m } } = 0.0005
(a) Write a node equation at node 1 by summing the currents away from node 1 .
(b) Write a node equation at node 2 by summing the currents away from node 2 .
(c) Solve the equations to find V1V _ { 1 } and V2V _ { 2 } .
(d) Find the current through R4\mathrm { R } _ { 4 } (including direction) and power absorbed by R4\mathrm { R } _ { 4 } .
 the circuit shown below, let  V _ { \mathrm { s } } = 5 V , R _ { 1 } = 3 \mathrm { k } \Omega , \mathrm { R } _ { 2 } = 2 \mathrm { k } \Omega , \mathrm { R } _ { 3 } = 5 \mathrm { k } \Omega , \mathrm { R } _ { 4 } = 1 \mathrm { k } \Omega , \mathrm { g } _ { \mathrm { m } } = 0.0005  (a) Write a node equation at node 1 by summing the currents away from node 1 . (b) Write a node equation at node 2 by summing the currents away from node 2 . (c) Solve the equations to find  V _ { 1 }  and  V _ { 2 } . (d) Find the current through  \mathrm { R } _ { 4 }  (including direction) and power absorbed by  \mathrm { R } _ { 4 } .

Correct Answer:

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\[\begin{array} { l }
\frac { V _ { 1 }...

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