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

question 4

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.

---

Definitions:

Bimodal

A distribution with two different modes (peaks) where the data shows two prevalent values.

Skewed

A distribution that is not symmetrical, where the bulk of values are concentrated to one side of the mean.

Innings

A division or segment of a game in sports like cricket and baseball, where one team takes turns batting and the other fields.

Histogram

A graphical representation of the distribution of numerical data, using bars to show the frequency of data in successive numerical intervals of equal size.