Question

If $ {{E}_{1}} $ be the electric field strength of a short dipole at a point on its axial line and $ {{E}_{2}} $ that on the equatorial line at the same distance, then:

• A. $ {{E}_{1}}={{E}_{2}} $
• B. $ {{E}_{1}}=2{{E}_{2}} $
• C. $ {{E}_{2}}=2{{E}_{1}} $
• D. none of these

Answer 1

The Correct Option is B

In end on position, the electric field strength is given by $ {{E}_{1}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\times \frac{2p}{{{d}^{3}}} $ ?(i) Electric field strength on broad side on position or on equatorial position is $ {{E}_{2}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\times \frac{p}{{{d}^{3}}} $ ?(ii) Now from equations (i) and (ii) $ \frac{{{E}_{1}}}{{{E}_{2}}}=\frac{2}{1} $ or $ {{E}_{1}}=2{{E}_{2}} $