$A$ conducting sphere of radius $r$ has a charge. Then
- AThe charge is uniformly distributed over its surface,if there is an external electric field.
- BDistribution of charge over its surface will be non-uniform if no external electric field exists in space.
- CElectric field strength inside the sphere will be equal to zero only when no external electric field exists.
- DPotential at every point of the sphere must be same.
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There are two equipotential surfaces as shown in the figure. The distance between them is $r$. If a charge of $-q \text{ C}$ is moved from surface $A$ to surface $B$,the resultant work done will be:
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$(I)$ What is the direction of the electric field?
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$(II)$ Rank the paths according to the magnitude of work done,greatest first.
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