Electrostatics ...

A uniform electric field pointing in positive x-direction exists in a region. Let A be the origin, B be the point on the x-axis at x = + 1 cm and C be the point on the y-axis at y = + 1 cm. Then, the potentials at the points A, B and C satisfy

The electric potential at a point (x, y) in the x-y plane is given by V = – kxy. The field intensity at a distance r from the origin varies as

Two equal charges are separated by a distance d. A third charge placed on a perpendicular bisector at x distance will experience maximum coulomb force when

Two equal point charges are fixed at x = –a and x = + a on the x-axis. Another point charge Q is placed at the origin. The change in the electrical potential of Q, when it is displaced by a small distance x along the x-axis, is approximately proportional to

An elementary particle mass m and charge +e is projected with velocity v at a much more massive particle of charge Ze, where Z > 0. What is the closest possible approach of the incident particle?

An electric dipole is situated in an electric field of uniform intensity E whose dipole moment is p and moment of inertia is I. If the dipole is displaced slightly from the equilibrium position, then the angular frequency of its oscillations is

A metallic shell has a point charge ‘q’ kept inside its cavity. Which one of the following diagrams correctly represents the electric lines of forces?

A small sphere carrying a charge \'q\' is hanging in between two parallel plates by a string of length L. Time period of pendulum is T₀. When parallel plates are charged, the time period changes to T. The ratio T / T₀ is equal to

Three charges –q₁, + q₂ and –q₃ are placed as shown in the figure. The x-component of the force on –q₁ is proportional to

A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a charge of –3Q, the new potential difference between the same two surfaces is