The potential difference between $\mathrm{A}$ and $\mathrm{B}$ in the following figure is

• A

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

  $48\mathrm{ }\mathrm{V}$
• C

  $24\mathrm{ }\mathrm{V}$
• D

  $14\mathrm{ }\mathrm{V}$

Solution

According to Kirchhoff voltage law

${\mathrm{V}}_{\mathrm{A}}\mathrm{ }–2\mathrm{ }\times \mathrm{ }6-\mathrm{ }12-\mathrm{ }2\mathrm{ }\times \mathrm{ }9+4-\mathrm{ }2\mathrm{ }\times \mathrm{ }5={\mathrm{V}}_{\mathrm{B}}$

$\therefore \mathrm{ }{\mathrm{V}}_{\mathrm{A}}-\mathrm{ }{\mathrm{V}}_{\mathrm{B}}=48\mathrm{ }\mathrm{V}$

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