Electric Field And Potential MCQ Level - 2 - IIT JAM MCQ

Electric potential at any point x, y, z in the space is given V=4x²−3x. Find electric field 

An electric dipole consisting of two opposite charge of 2 × 10^–6C each separated by a distance of 0.03m is placed in an electric field of 2 × 10⁵NC^–1. The maximum torque on the dipole will be

Two identical point charge are placed at a separation of r. P is a point on the line joining the charges, at a distance x from any one charge. The field at P is E. E is plotted against x, for value of x from close to zero to slightly less than r. Which of the following best represent the resulting curve.

A spherical charged conductor has surface density σ of charge. The electric field on its surface is E. If the radius of the sphere is doubled keeping the surface density of charged unchanged then the electric field on the surface of the new sphere will be

A charge q is divided into two parts q₁ and (q – q₁). What is the ratio so that the force between two parts placed at a given distance apart is maximum.

Two concentric thin metallic sphere of radii R₁ and (R₁ > R₂) carry charge Q₁ and Q₂ respectively. The potential at point P (distance from common centre is r) is (k=1/4πϵ0​1)

Two equal negative charge (–q each) are fixed at point (0, a) and (0, –a) on the y-axis. A positive charge Q is released from rest at the points (29, 0) on the x-axis is the charge Q will