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CBSE Class 12 Physics 2017 Delhi Set 2 Paper

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Question : 8
Total: 8
(i) Derive the expression for the electric potential due to an electric dipole at a point on its axial line.
(ii) Depict the equipotential surfaces due to an electric dipole.
Solution:  
(i) Derivation of expression for the electric potential due to an electric dipole at a point on the axial line.
(ii) Depiction of equipotential surfaces due to an electric dipole.
Potential due to charge at A,
VA=‌
1
4πε0
‌
−q
(r+a)
Potential due to charge at B,
VB=‌
1
4πε0
‌
+q
(r−a)

‌∴‌ Potential at point ‌P,
‌V=VB+VA
‌∴‌ Net Potential at ‌P
‌=‌
q
4πε0
[‌
−1
(r+a)
+‌
1
(r−a)
]
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