If $E_{a}$ be the electric field strength of a short dipole at a point on its axial line and…

If $E_{a}$ be the electric field strength of a short dipole at a point on its axial line and $E_{\mathrm{e}}$ that on the equatorial line at the same distance, then
  1. $|E_{e}|=2 |E_{a}|$
  2. $|E_{a}|=2 |E_{e}|$
  3. $|E_{a}|=|E_{e}|$
  4. None of these

Solution

$\begin{array}{l} \text {We have } |E_{a}|=\frac{2 k p}{r^{3}} \text { and } |E_{e}|=\frac{k p}{r^{3}} \text {; }\\ \therefore E_{a}=2 E_{e} \end{array}$

Asked in: JEE Mains - Electrostatics - Test 5

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