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Potential Gradient and Relation between Electric Field and Potential

Electric fiel...

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Electric field due to isolated point charge varies inversely with square of the distance but electric field due to dipole varies inversely with cube of the distance. Why?

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Q. Assertion :On going away from a point charge or a small electric dipole, electric field decreases at the same rate in both the cases. Reason: Electric field is inversely proportional to square of distance from the charge or on electric dipole.

Q. Statement I: The electric field due to a very small dipole at a large distance from its centre along its axis is

\frac{2 \to P}{4 π ε_{0} r^{3}} .

Statement II: Coulomb’s inverse square law is not valid in case of electric field due to a dipole.

Electric intensity due to an electric dipole varies with distance r as $E α r^{n}$ , where ‘n’ is

Q. The electric field due to a dipole at a distance r on its axis is

Q. Match the following.

Column - I	Column - II
a) Electric field outside a conducting charged sphere	e) Constant
b)Electric potential outside a conducting charged sphere	f) directly proportional to distance from centre
c) Electric field inside a non-conducting charged sphere	g) inversely proportional to distance from center
d) Electric potential inside a charged conducting sphere	h) inversely proportional to the square of distance from center

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