Some work is done to move a charge 𝑄=2 C from infinity to a point 𝐴 in space. The potential of the point 𝐴 is given as 𝑉= 3V. What is the work done to move this charge from infinity in terms of 𝑄 and 𝑉?

The potential of the point 𝐴 is given as 𝑉 = 3𝑉. 

Potential difference can be represented as follow:

$\text{ Potential }=\frac{\text{ Work done }}{\text{ Charge }}$

$\Rightarrow \mathrm{V}=\frac{\mathrm{W}}{\mathrm{Q}}$

$\Rightarrow \mathrm{W}=\mathrm{Q}\times \mathrm{V}$

$\Rightarrow \mathrm{W}=2\times 3=6\mathrm{J}$

Therefore, the work done will be equal to the product of potential and charge. The work done to move the charge from infinity is 6𝐽.