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Q.

Four charges 2 C, - 3 C, - 4 C and 5 C respectively are placed at all the corners of a square. Which of the following statements is true for the point of intersection of the diagonals ?

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a

neither electric field nor electric potential is zero

b

both electric field and electrical potential are zero

c

electric field is non-zero but electric potential is zero

d

electric field is zero but electric potential is non-zero

answer is B.

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Detailed Solution

Let l be the length of the square. The length of the diagonal will be 2l. Potential at the point of intersection of diagonal V=14πε0×(234+5)(2l/2)=0 and electric intensity at this point is 
E=14πε02l2/2i3l2/2j4l2/2i+5l2/2j
none-zero.
 

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Four charges 2 C, - 3 C, - 4 C and 5 C respectively are placed at all the corners of a square. Which of the following statements is true for the point of intersection of the diagonals ?