An electric dipole is placed on $x-$axis in proximity to a line charge of linear charge density $3.0\times {10}^{-6} \mathrm{C} {\mathrm{m}}^{-1}.$ Line charge is placed on $\mathrm{z}-$axis and positive and negative charge of dipole is at a distance of $10 \mathrm{mm}$ and $12 \mathrm{mm}$ from the origin respectively. If total force of $4 \mathrm{N}$ is exerted on the dipole, find out the amount of positive or negative charge of the dipole.

• A

  $815.1 \mathrm{nC}$
• B

  $8.8 \mu \mathrm{C}$
• C

  $0.485 \mathrm{mC}$
• Correct answer
  D

  $4.44 \mu \mathrm{C}$

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