Four particles each having a charge q are placed on the four vertices of a regular pentagon. The distance of each comer from !be centre is 'a'. Find the electric field at the centre of pentagon.

Prove that any four vertices of a regular pentagon are concyclic.

Find each interior of a regular pentagon.

Five point charges, +q each are placed at the five vertices of a regular hexagon. The distance of the center of the hexagon from any fo the vertices is a. the electric field at the center of the hexagon is

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?

Six negative equal charge are placed at the vertical of a regular hexagon . 6q charge is placed at the centre of the hexagon . Find the electric dipole moment of the system.

Four particles each of mass 'm' are placed at the four vertices of a square 'a' .Find net force on any one the particle.

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.

Four point masses each of mass m are placed on vertices of a regular tetrahedron. Distance between any two masses is r .

Five charges, q each are placed at the corners of a regular pentagon of side a. (Refer the adjoining figure) (a) (i) What will be the electric field at O, if the centre of the pentagon? (ii) What will be the electric field at O if the charge from one of the corners (say A) is removed? (iii) What will be the electric field at O if the charge q at A is replaced by -q? (b) How would your answer to (a) be affected if pentagon is replaced by n-sided regular polygon with charge q at each of its corners?

Four identical point charges, each of charge q, are placed on the vertices of a regular hexagon of side a such that the net electric field at centre of hexagon is zero. If one of the charge is now removed, then the electric field at centre of hexagon is k- 4.60