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Q.

Six point charges are kept at the vertices of a regular hexagon of side L and centre O, as shown in the figure. Given that K=14πε0qL2, which of the following statement(s) is(are) correct.

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a

The potential at all points on the line PR is same

b

The potential at all points on the line ST is same

c

The electric field at O is 6K along OD

d

The potential at O is zero

answer is A, B, C.

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Detailed Solution

(1) 

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Resultant of 2K and 2K( at 120°) is also 2K towards 4K. Therefore, net electric field is 6K.

(2) V0=14πε0qAL+qBL+qCL+qDL+qEL+qFL

V0=14πε0LqA+...+qF=0

Because qA+qB+qC+qD+qE+qF=0

(3) Only line PR, potential is same =0

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