Show mathematically that the electric field strength due to a short electric dipole at a distance 'r' along its axis is twice that at the same distance along its equatorial axis.

Show mathematically that the electric field strength due to a short el

1.	Show mathematically that the electric field strength due to a short electric dipole at a distance 'r' along its axis is twice that at the same distance along its equatorial axis.
Answer» Solution :Field on the axial, `vecE_("axial")- (2 vecp)/(4pi epsi_(0) R^(3))` Field on the equatorial line, `vecE_("equilatorial")=(-vecp)/(4pi pi_(0) r^(3))` HENCE `\|E_("axial")\|=2 XX \|E_("equilaterial")\|`

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Show mathematically that the electric field strength due to a short electric dipole at a distance 'r' along its axis is twice that at the same distance along its equatorial axis.

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