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The electric field on the axial line of a short electric dipole at distance r is
A{'text': 'E = kp / r³', 'label': 'A'}
B{'text': 'E = 2kp / r²', 'label': 'B'}
C{'text': 'E = kp / r²', 'label': 'C'}
D{'text': 'E = 2kp / r³', 'label': 'D'}
Answer & Solution
Correct answer: D. {'text': 'E = 2kp / r³', 'label': 'D'}
1. For a short dipole (r ≫ 2a), the axial field is stronger than the equatorial.
2. E_axial = 2 k p / r³, pointing along the dipole direction.
3. Compare with E_equatorial = k p / r³, opposite to p.
4. Both fields decrease as 1/r³, faster than a point charge.
_Source: NCERT Class 12 Physics, Ch 1 "Electric Charges and Fields", §1.8_
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