MEDIUM
12th CBSE
IMPORTANT
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Prove that a closed equipotential surface with no charge within itself must enclose an equipotential volume.

Important Questions on Electrostatic Potential and Capacitance

HARD
12th CBSE
IMPORTANT

Define electric potential due to a point charge and arrive at the expression for the electric potential at a point due to a point charge in its vicinity.

HARD
12th CBSE
IMPORTANT
Calculate the potential energy of a point charge -q placed along the axis due to a charge +Q uniformly distributed along a ring of radius a. Sketch P.E. as a function of axial distance  z from the centre of the ring. Looking at the graph, can you see what would happen if -q is displaced slightly from the center of the ring (along the axis)?
MEDIUM
12th CBSE
IMPORTANT

Calculate potential on the axis of a ring due to charge Q Uniformly distributed along the ring of radius R.

 

MEDIUM
12th CBSE
IMPORTANT
Find the equation of the equipotential for an Infinite cylinder of radius r0, carrying charge of linear density λ.
MEDIUM
12th CBSE
IMPORTANT
Two point charges of magnitude +q and -q are placed at (-d/2,0,0) and (d/2,0,0), respectively. Find the equation of the equipotential surface where the potential is zero ?
MEDIUM
12th CBSE
IMPORTANT
A parallel plate capacitor is filled by a dielectric whose relative permittivity varies with the applied voltage V as ε=αV where α=2V-1. A similar capacitor with no dielectric is charged to 78V. It is then connected to the uncharged capacitor with the dielectric. Find the final voltage on the capacitors.
MEDIUM
12th CBSE
IMPORTANT
A capacitor is made of two circular plates of radius R each, separated by a distance d<<R. The capacitor is connected to a constant voltage. A thin conducting disc of radius r<<R and thickness t<<r is placed at a centre of the bottom plate. Find the minimum voltage required to lift the disc if the mass of the disc is m
HARD
12th CBSE
IMPORTANT
In a quark model of elementary particles, a neutron is made of one up quarks [charge (2/3) e] and two down quarks [charges -(1/3) e]. Calculate the electrostatic potential energy of the neutron and compare it with its mass 939 MeV. Repeat the above exercise for a proton which is made of two up and one down quark.