Question

Two point charges each of +1$\mu$C are at a distance of 3 m apart. The work done in bringing the two charges closer to a distance 1 m apart is

• A. 0.006 J
• B. 0.008 J
• C. 0.0006 J
• D. 0.06 J

Answer 1

The correct option is A 0.006 J

$W=U_2-U_1=\frac{1}{4\pi {ϵ}_0}{q}_1{q}_2[\frac{1}{r_2}-\frac{1}{r_1}]=9\times {10}^9\times {10}^{-12}[\frac{1}{1}-\frac{1}{3}]=9\times \frac{2}{3}\times {10}^{-3}W=0.006J$