## Q. 1.P.41

Determine the Thevenin equivalent resistance $R_{ Th }$ between terminals a and b.

## Verified Solution

The problem can be solved using source transformation.

This network contains only dependent source, therefore, its $V_{ Th }=0$.

For finding $R_{ Th }$ , one test voltage V is applied between terminals a and b.

$-I + \frac{V}{100} + \frac{V + 20V_{1}}{250} = 0$

Here, $V=V_1$ , therefore

\begin{aligned} & I=\frac{V}{100}+\frac{21 V}{250} \\ & \frac{V}{I}=R_{ Th }=\frac{500}{47}=10.6 \Omega \end{aligned}