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  4. If E1 be the electric field strength of a short dipole at a point on its axial line and E2 that on the equatorial line at the same distance, then:

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Q. 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:

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Solution:

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}} $