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Q.

Charges +q,-q,+q,-q  are placed on the vertices of a square ABCD respectively.  Let E¯  be the electric field and V the potential at the centre.  If the charges on A and B are interchanged with those on D and C respectively, then 

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a

E¯remains unchanged, V changes

b

Both E¯and V changes

c

E¯ and V remain unchanged

d

E¯changes, V remains unchanged

answer is C.

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Detailed Solution

Question Image

Let d- distance between any vertex and the center.
The potential at center before and after the charges are interchanged

=1q4πϵd+1q4πϵd+−q4πϵd+−q4πϵd

Field at center after interchanging do not change

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