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

Essay

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 $\mathrm { R } _ { 4 }$ .