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Question

Six point charges are placed at the vertices of a regular hexagon of side a as shown. If E represents electric field and V represents electric potential at O, then

1031963_c63d7be3fceb4b3693f52142cf31ee2a.png

A
E = 0 but V 0
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B
E0 but V = 0
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C
E = 0 and V = 0
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D
E 0 and V 0
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Solution

The correct option is D E = 0 but V 0

a2+a2=2a
six points charges, Electric field =E
Electric potential =V
a2+(a2)2
=a2+2a2
=3a2
=3a unit
Now, E=14πϵ0q(3a/4)2 at point 0
Now, V0 because the distance between them =0

1236247_1031963_ans_923e4ebfb865429eb316c40e2ebe6b02.jpg

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