Question

The potential differences between the points A and B in the following circuit shown in the figure :-

• A. $\frac{2}{3}$ volt
• B. $\frac{4}{5}$ volt
• C. $\frac{8}{9}$ volt
• D. 2 volt

Answer 1

The correct option is A $\frac{2}{3}$ volt

Applying Kirchhoff's law
for loop DBCB: $(5+5+5)I_1=2\Rightarrow I_1=2/15A$
for loop DACA: $(5+5+5)I_2=2\Rightarrow I_2=2/15A$
now, $V_B-V_C=5I_1=5\times \left(2/15\right)=2/3V....\left(1\right)$ and
$V_A-V_C=(5+5)I_2=10\times \left(2/15\right)=4/3V....\left(2\right)$
$\left(2\right)-\left(1\right)\Rightarrow V_A-V_B=4/3-2/3=\frac{2}{3}$ V