Determine the Thevenin equivalent resistance RTh between terminals a and b.

Question

Determine the Thevenin equivalent resistance [latex] R_{ Th } [/latex] between terminals a and b.

Accepted Answer

The problem can be solved using source transformation.

This network contains only dependent source, therefore, its [latex] V_{ Th }=0 [/latex].

For finding [latex] R_{ Th } [/latex] , one test voltage V is applied between terminals a and b.

[latex] -I + \frac{V}{100} + \frac{V + 20V_{1}}{250} = 0[/latex]

Here, [latex] V=V_1 [/latex] , therefore

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

Chapter 1