A square plate of side a is placed in `xy` plane having centre at origin if charge at density of square plate is `sigma=xy` then total charge on the plate will be

A circular metal plate of radius 10 cm is given a charge of 20muC on its surface. The charge density of the plate is

A uniformly charged square plate having side L carries a uniform surface charge density sigma . The plate lies in the y - z plane with its centre at the origin. A point charge q lies on the x-axis. The flux of the electric field of q through the plate is phi0 , while the foce on the point charge q due to the plate is F_(0) , along the x-axis. Then,

A parallel plate capacitors of plate area A has a total surface charge density +sigma on one plate and a total surface charge density -sigma on the other plate. The force one plate due to the other plate is given by :

A uniformly charged disc of radius R having surface charge density sigma is placed in the xy plane with its center at the origin. Find the electric field intensity along the z-axis at a distance Z from origin :

A parallel plate capacitor is charged. If the plates are pulled apart

A square plate hinged at A , of side a and mass M is placed in (x-z) plane. The plate is allowd to fall upto (x-y) plane. Find its angular velocity

An isosceles triangular piece is cut a square plate of side l . The piece is one-fourth of the square and mass of the remaining plate is M . The moment of inertia of the plate about an axis passing through O and perpendicular to its plane is

In a parallel plate capacitor with plate area A and charge Q, the force on one plate because of the charge on the other is equal to