An electric dipole P = 2qa î is placed in x-y plane, centred at th...

Question

An electric dipole P = 2qa î is placed in x-y plane, centred at the origin. Let E$_{1}$ and E$_{2}$ be the magnitudes of electric field at a point distant r (>> a) from its centre, along its axis and on its equatorial plane, respectively. Then the value of 1 is :

Accepted Answer

Axial field of a dipole: $E_1=\dfrac{2kp}{r^3}$ Equatorial field of a dipole: $E_2=\dfrac{kp}{r^3}$ $$\frac{E_1}{E_2}=\frac{2kp/r^3}{kp/r^3}=2$$

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