A square metal box has sides of length 100cm and a net charg

A square metal box has sides of length 10.0cm and a net charge of+10mC. Which of the following statements is true? The +10mC net charge is uniformly distributed throughout the volume of the box There is a non-zero electric field inside the box due to the net charge The electric Held outside the box is largest close to the corners of the box The electric field is parallel to the faces of the box so that the charge can t escape. The electric potential at the center of the box is different from the potential at a point on the surface of the box. All of the above statements are false.

Solution

The Charges distribute themselves such a way that the electric field inside a conductor is zero. (B is false)

The zero electric field through the volume of conductor says it will be eqipotential. (E is false)

The charges repel each other and as they are \'free\' , they all move toward the surface. (A is false)

The electric field just outside the conductor is always perpendicular to the surface, that only makes sure that there will be no force on the \'free\' charge carriers. (D is false)

The charge density(local, on the surface) is proportional to the curvature of the surface(local). So at the corners there will be maximum charge density and so the maximum electric field. (C IS TRUE)