Electrostatic Potential

Two small equal point charges of magnitude are suspended from a common point on the ceiling by insulating mass less strings of equal lengths. They come to equilibrium with each string making angle from the vertical. If the mass of each charge is , then the electrostatic potential at the centre of line joining them will be

There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at , in the region, is found to vary between the limits to . What is the potential at a point on the sphere whose radius vector makes an angle of with the direction of the field ?

The volume charge density of a sphere of radius 6 m is 2μC cm^-3. The number of lines of force per unit surface area coming out from the surface of the sphere is _______ × 10¹⁰ NC^-1.

Which of the following Maxwell's equation is valid for time varying conditions but not valid for static conditions:

Two parallel plate capacitors of capacity and are connected in parallel combination and charged to a potential difference The battery is then disconnected and the space between the plates of the capacitor of capacity is completely filled with a material of dielectric constant The final potential difference across the combination of capacitors will be______

A current of flows in the circuit asshown in figure The value of potentialdifference between the points and will be

As shown in figure, a cuboid lies in a region with electric field . The magnitude of charge within the cuboid is . The value of is _____. (if dimension of cuboid is )

For a uniformly charged thin spherical shell, the electric potential (V) radially away from the entre (O) of shell can be graphically represented as –

The rms value of conduction current in a parallel plate capacitor is The capacity of this capacitor, if it is connected to ac supply with an angular frequency of , will be :

Three identical particle and of mass each are placed in a straight line with The gravitational force on a fourth particle of the same mass is , when placed at a distance from the particle B on the perpendicular bisector of the line The value of will be approximately :

Pick the correct graph between potential V at distance r from centre for the uniformly charged spherical shell of radius R.

Assertion (A): An electrical dipole is enclosed in a closed gaussian surface. The total flux through the enclosed surface is zero.
Reason (R): Net charge inside the enclosed surface is zero.

Eight copper wire of length and diameter are joined in parallel to form a single composite conductor of resistance If a single copper wire of length have the same resistance then its diameter will be ______