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Show mathematically that the electric fi...

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.

Text Solution

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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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