Question 2.Q.49: In the circuit shown in Fig. Q2.49.1 find the current I usin......

The circuit can be redrawn as shown in Fig. Q2.49.2. Using Millman’s theorem, the parallel connected voltage sources can be converted into a single source as shown in Fig. Q2.49.3.

{R}_{\mathrm{eq}}={\frac{1}{{\frac{1}{4}}+{\frac{1}{6}}}}=2.4~\Omega     ;     E_{\text{eq}}=\left(\frac 84+\frac 96\right)×2.4=8.4  V

With reference to Fig. Q2.49.3,

I={\frac{\mathrm{E}_{\mathrm{eq}}}{\mathrm{R}_{\mathrm{eq}}+1.8}}\,=\,{\frac{8.4}{2.4+1.8}}\,=\,2\,A