Question

In the circuit shown in figure, potential difference between point $A$ and $B$ is $16V$. Find the current passing through $2\Omega$ resistance.

• A. 1.5 A
• B. 3.5 A
• C. 1.0 A
• D. 2.5 A

Answer 1

Answer: (B)

By applying KVL,
$V_A-4I-9-I_1-3-4I=V_B$
$16=+8I+I_1+12$
$8I+I_1=4V$ ......(i)
By applying $KVL$ in $\mathrm{loop}{A}^{\prime }{B}^{\prime }{C}^{\prime }{D}^{\prime }{A}^{\prime }$,
$-9-I_1+2\left(I-I_1\right)=0$
$-3I_1+2I=9$ ..........(ii)
By solving (i) and (ii) current in $2\Omega$ resistance is $3.5A$.