Question

The potential difference between the points A and B is

• A. 2.50 V
• B. 0.5 V
• C. 1.00 V
• D. 1.50 V

Answer 1

Answer: (B)

For the first loop : $12=5i+i_1$
For second loop :$0=7(i-i_1)-i_1\Rightarrow 8i_1=7i$
Therefore we obtain : $12=5i+\frac{7}{8}i=\frac{47}{8}i\Rightarrow i=\frac{12\times 8}{47}=2.04A$
$i_1=\frac{7}{8}\times 2.04=1.79A$
Thus the pd across A and B is
$V_A-V_B=(i-i_1)\times 2=0.25\times 2=0.5V$