Question:
How is field cylinderically symmetric about the dipole axis in a dipole
Answer:
Electric field at distance r on the equatorial line of an electric dipole of dipole moment p is given by 1/4πε0 .[p/(r2 +a2)3/2 ]
The electric field E is same at all points which lie on a cylinder of radius r with its axis on the dipole axis and the field pattern looks same in all planes passing through the dipole axis. We say that the electric field of an electric dipole is cylindrically symmetric.
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