In the Circuit Shown Below, (A) Write a Node Equation $1 .$

Essay

In the circuit shown below, (a) Write a node equation at node 1 by summing the currents leaving node $1 .$
(b) Write a node equation at node 2 by summing the currents leaving node 2 .
(c) Solve the node equations to find the Thévenin equivalent voltage between $a$ and $b$ , $\mathrm { V } _ { \text {th } } = \mathrm { V } _ { 2 }$ .
(d) Find the Thévenin equivalent resistance Ruth between $a$ and $b$ .
(e) Find the load resistance R. between $a$ and $b$ for the maximum power transfer to the load. Also, find the maximum power delivered to the load.