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

Answer: (B)

${{E}_{1}}=2{{E}_{2}}$

Answer 2

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 ${{E}_{1}}=2{{E}_{2}}$