Electrostatics Equilibrium and it's application to distribution of charges on multi parallel conducting plates.

Four initially uncharaged thin, large, plane idential metallic plates A,B,C and D are arranged parallel to each other as shown. Now plates A,B,C and D are given charges Q,2Q,3Q and 4Q respectively. Plates A and D are connected by a mtallic wire while plates B and C connected by other metallic wire then after Electrostatic equilibrium is reached. Total charge on plates after earthing plates A and B will be

An electron is projected from a distance d and with initial velocity u parallel to a uniformly charged flat conducting palte as shown. It strikes the plate after travelling a distance l along the direction of projection. The surface charge density of the conducting plate is equal to

Two conducting plates A and B are placed parallel to each other. A is given a charge. Q_1 and B a charge Q_2 . Find the distribution of charges on the four surface.

Let us consider an infinite plane charged conducting plate. Now the charge distributes on both sides of the conducting plate. The field of such charged plate arises from the super-position of the fields of two sheets of charge. Can you guess the value of E for points outside the plate ? What will be the field inside the plate, and why?

What is the ratio of the electrostatic potential at the corner and the centre point of a charged conducting cube? (The potential is considered 0 at infinity)

Three charged particle sare in equilibrium under their electrostatic forces only. Then

An infinite non-conducting plate of charge has thickness d and contains uniform charge distribution fo charge density, which one of the following graphs represents the variation of electric field E(x) with x. (here x is the distance from central plane of non-conducting plate)

Four initially uncharaged thin, large, plane idential metallic plates A,B,C and D are arranged parallel to each other as shown. Now plates A,B,C and D are given charges Q,2Q,3Q and 4Q respectively. Plates A and D are connected by a mtallic wire while plates B and C connected by other metallic wire then after Electrostatic equilibrium is reached. Charge on left surface of plate B wll be

A air filled parallel plate capacitor having circular plates of diameter D is given a charge Q.The magnitude of the force acting between plates is

Compare the expression for magnetic energy density with electrostatic energy density stored in the space between the plates of a parallel plate capacitor.