Question

Draw Thevenin's equivalent circuit and find voltage across $R_L$ for the given circuit.

Answer 1

Refer IMAGE $01$
Applying KVL
$10-5i-20i=0$
$i=\frac{2}{5}A$
$\therefore V_{eq}=V_{AB}=20i=8$ $V$
To find $R_{eq}$ short the battery
Refer IMAGE $02$
$R_{eq}=R_{AB}=\frac{20\times 5}{20+5}=4$ $\Omega$ (As $5$ $\Omega$ and $20$ $\Omega$ are parallel across $AB$)
Equivalent circuit: Refer IMAGE $03$
Applying KVL
$8-6i-0$
$\Rightarrow i=\frac{4}{3}$ $A$
$V_L=i{R}_L=\frac{4}{3}\times 2=2.66$ $V$