Question

Find current I and current through $6\Omega$ resistance in Fig. a

• A. $\frac{6}{17}A,\frac{1}{17}A$
• B. $\frac{3}{17}A,\frac{1}{17}A$
• C. $\frac{6}{17}A,\frac{2}{17}A$
• D. none

Answer 1

Answer: (C)

$\frac{6}{17}A,\frac{2}{17}A$

$E_{eq}=\frac{2\times 1+2\times 2}{2+1}=2V;r_{eq}=\frac{1\times 2}{1+2}=\frac{2}{3}\Omega$

$I=\frac{2}{5+2/3}=\frac{6}{17}A$

$I_1=\frac{6}{17}\times \frac{3}{9}=\frac{2}{17}A$