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Q.

At a point in space, let the field and potential be having values E and V respectively. Out of the following assertions which one(s) is/are correct?

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a

For V=0, E must be zero

b

For V0, E cannot be zero

c

For E0,V can bezero

d

None of these

answer is C.

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Detailed Solution

The electric field is E=-dVdx

If V=0,we can not say E must be zero, we say only E may be zero.

If  V0, E may  be zero .For example, inside the conductor E=0, but V0

If E0, V may be zero when two equal and opposite charges separated by a distance and at the midpoint in between the charges field is non-zero but potential is zero.

Hence the correct answer is 3

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