Question

Calculate electric field due to dipole of dipole momentum at distance and angle .

Hard

Solution

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   (along OC)     .... (i)

Simlialry, lies on the equatorial line of dipole with moment . Hence, the magnitude of electric field intensity at due to is

  (opposite to )       ...(ii)

Hence, the resultant intensity at is .

The magnitude of is    (as and are mutally perpendicular).

or 

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