Electrostatics Question 294

Question: The distance between the two charges $ +q $ and $ -q $ of a dipole is $ r $ . On the axial line at a distance $ d $ from the centre of dipole, the intensity is proportional to [CPMT 1977]

Options:

A) $ \frac{q}{d^{2}} $

B) $ \frac{qr}{d^{2}} $

C) $ \frac{q}{d^{3}} $

D) $ \frac{qr}{d^{3}} $

Show Answer

Answer:

Correct Answer: D

Solution:

Field along the axis of the dipole $ E=\frac{1}{4\pi {\varepsilon _{0}}}.\frac{2p}{d^{3}}=\frac{1}{4\pi {\varepsilon _{0}}}.\frac{2(q\times r)}{d^{3}}; $

$ E\propto \frac{qr}{d^{3}} $



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