Question

In the given electric circuit, the current flowing through $3ohm$ resistor is $1$ ampere. Find the voltage of the battery and the current drawn from it.

Answer 1

Refer image .1

Given :- Let the current How in $3\Omega$ is $i$, and $6\Omega$ is $i_1=1ampere$

$i_1+i_2=I$

$V_A-V_B=i_1\times 3\Omega =i_2\times 6$

$\Rightarrow 1\times 3=i_2\times 6$

$\frac{i}{2}=\frac{1}{2}ampere$

Hence $I=i_1+i_2=1+0.5=1.5ampere$

$Req=2+\frac{3\times 6}{3+6}=2+\frac{3\times 6}{9}=4\Omega$

equivalent circuit

Refer image .2

From KVL

$1req=v$

$v=1.5\times 4$

$=6volt$