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If electric field intensity at a certain distance from a dipole on its axis is E1 and at the same distance but on the perpendicular bisector of the dipole is E2, then __________(a) E1=E2(b) E1=2 E2(c) E1=4 E2(d) E1=3 E2The question was posed to me in a national level competition.Enquiry is from Electric Dipole in chapter Charges and Fields of Physics – Class 12

Answer»

Correct CHOICE is (b) E1=2 E2

Explanation: If the dipole moment of a dipole is p, then electric field INTENSITY at a distance r from the dipole on its axis will be \(\frac {2p}{r^3}\). But electric field intensity at a distance r from the dipole on its perpendicular bisector is \(\frac {p}{r^3}\). Both the formulas are DERIVED by assuming r >> length of the dipole. THUS E1=\(\frac {2p}{r^3}\) and E2=\(\frac {p}{r^3}\) and hence E1=2 E2.


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