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Q. In the part of the circuit shown in the figure, the potential difference between points $V_{A}-V_{B}=16V$ . The current passing through the $2\Omega$ resistance will be
Question

NTA AbhyasNTA Abhyas 2022

Solution:

Solution
$V_{A}-V_{B}=16V$
$\therefore 4i_{1}+2\left(i_{1} + i_{2}\right)-3+4i_{1}=16V$ ......(i)
Using Kirchhoff's second law in the closed loops we have
$\Rightarrow 9-i_{2}-2\left(i_{1} + i_{2}\right)=0$ ......(ii)
Solving equations (i) and (ii), we get
$i_{1}=1.5A$ and $i_{2}=2A$
$\therefore $ Current through $2\Omega$ resistor $=2+1.5=3.5A$