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Six point charges are kept at the vertic...

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=(1)/(4piepsilon_0)(q)/(L^2)`, which of the following statements(s) is (are) correct?

A

The electric field at O is 6K along OD.

B

The potential at O is zero.

C

The potential at all points on the line PR is same.

D

The potential at all points on the line ST is same.

Text Solution

Verified by Experts

The correct Answer is:
(a,b,c)


The electric field along OE and OC are
same i.e ., `E_(2)=E_(3)=(2Kq)/(L^(2))andE_(1)=(4Kq)/(L^(2))`
`thereforeE_("all")=(6Kq)/(L^(2))=6xx(1)/(4piepsilon_(0))(q)/(L^(2))=6K` (along OD)
Potential at centre O is zero.
Potential at line PR is zero because this line is equatorial axis for three dipole.
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