Question

In the circuit shown in figure, potential difference between points $A$ and $B$ is $16V$. The current passing through $2\Omega$ resistance will be:

• A. $2.5A$
• B. $3.5A$
• C. $4.0A$
• D. Zero

Answer 1

The correct option is B $3.5A$

Assume the values of current in the main branch as well as in the loop.

Write equations of KCL and KVL for the loop and the branch.

Let the current in the $2$ ohm resistor be i1+i2i1+i2

then using KVL equation in closed loop

$\begin{array}{c}9+i_2-2\left(i_1+i_2\right)=\mathrm{0.......................}\left(1\right)\\ 4i_1+2\left(i_1+i_2\right)-3+4i_1=\mathrm{16...............}\left(2\right)\\ solvingweget,\\ i_1=1.5and{i}_2=2\end{array}$

Thus current through 2 ohm resistor is 3.5 ohms

Option $B$ is correct.