Home
Class 12
PHYSICS
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 the OD

B

The potential at point 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

Resultant of 2k (at 120°) is also 2k towards 4k. Therefore, net electric field is 6k.
(B) `v_(0)=1/(4piepsi_(0))[(qA)/L+(qB)/L+(qC)/L+(qD)/L+(qE)/L+(qE)/L]=1/(4piepsi_(0)L)(q_(A)+….+q_(F))=0`
Because `q_(A)+q_(B)+q_(C)+q_(D)+q_(E)+q_(F)=0`
(C) (C) Only line PR, potential is same (=0)
Promotional Banner

Similar Questions

Explore conceptually related problems

The point charges are placed on the vertices of regular hexagon of side L as shown. Find the potential energy of the system of charges.

Six point masses of mass m each are at the vertices of a regular hexagon of side l . Calculate the force on any of the masses.

Six point charges are arrange at the vertices of a regular hexagon of side length a (shown in figure). Find the magnitude of electric field at the centre of regular hexagon.

One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its other end is supported by a light inextensible rope. The other end of the rope is fixed at point Q at a height L above the hinge at point O. A block of weight alpha W is attached at the point Q at a height L above the hinge at point O. A block of weight alpha W is attached at the point P of the beam as shown in the figure. The rope can sustain a maximum tension of 2(sqrt(2)) W . Which of the following statements is/are correct?

Six charges are kept at the vertices of a regular hexagon as shown in the figure. If magnitude of force applied by +Q on +q charge is F, then net electric force on the +Q is nF. Find the value of n.

Five identical charges are kept at five vertices of a regular hexagon. Match the following two columns at centre of the hexagon. If in the given situation electric field at centre is E, then,

Five point charge ( +q each) are placed at the five vertices of a regular hexagon of side 2a .what is the magnitude of the net electric field at the centre of the hexazon?