The potential difference between $A$ and $B$ in the following figure is

• A

  $32 \mathrm{~V}$
• Correct answer
  B

  $48 \mathrm{~V}$
• C

  $24 \mathrm{~V}$
• D

  $14 \mathrm{~V}$

Solution

Applying Kirchhoff's voltage law, we get $$ \begin{array}{ll} -V_{A B}+6 \times 2+12+9 \times 2-4+5 \times 2=0 \\ \Rightarrow & -V_{A B}+48=0 \\ \Rightarrow & V_{A B}=48 \mathrm{~V} \end{array} $$

Hence, the correct answer is option: 'B'.