Determine the Thevenin equivalent resistance R_{ Th } between terminals a and b.
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} = 0Here, 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}