A uniform conducting wire of length $12a$ and resistance $R$ is wound up as a current-carrying coil in the shape of,

(i) an equilateral triangle of side $a$.
(ii) a square of side $a$.
The magnetic dipole moments of the coil in each case respectively are:

• Correct answer
  A

  $\sqrt{3}I{a}^2\text{ and }3I{a}^2$
• B

  $3I{a}^2\text{ and} I{a}^2$
• C

  $3I{a}^2\text{ and }4I{a}^2$
• D

  $4I{a}^2\text{ and }3I{a}^2$

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