Question

In the situation shown in the diagram, magnitude of q << | Q | and r>>a. The net force on the free charge -q and net torque on it about O at the instant shown are respectively
[ p = 2aQ is the dipole moment ]

• A. \(\frac{1}{4\pi\epsilon_0}\frac{pq}{r^2}\hat{k},\frac{1}{4\pi\epsilon_0}\frac{pq}{r^3}\hat{i}\)
• B. \(-\frac{1}{4\pi\epsilon_0}\frac{pq}{r^2}\hat{k},-\frac{1}{4\pi\epsilon_0}\frac{pq}{r^3}\hat{i}\)
• C. \(\frac{1}{4\pi\epsilon_0}\frac{pq}{r^3}\hat{i},+\frac{1}{4\pi\epsilon_0}\frac{pq}{r^2}\hat{k}\)
• D. \(\frac{1}{4\pi\epsilon_0}\frac{pq}{r^3}\hat{i},-\frac{1}{4\pi\epsilon_0}\frac{pq}{r^2}\hat{k}\)

Answer 1

The Correct Option is D

The correct answer is (D) : \(\frac{1}{4\pi\epsilon_0}\frac{pq}{r^3}\hat{i},-\frac{1}{4\pi\epsilon_0}\frac{pq}{r^2}\hat{k}\).