Electrostatics

Two charges q1 and q2 are placed at (0, 0, – d) respectively. Find locus of points where the potential is zero.

Q: Two charges q1 and q2 are placed at (0, 0, – d) respectively. Find locus of points where the potential is zero.

A parallel plate capacitor is filled by a dielectric whose relative permittivity varies with the applied voltage (U) as ε =  αU where α = 2 V-1 .a similar capacitor with no dielectric is charged to U0 = 78 V. It is then connected to the uncharged capacitor with the dielectric. Find the final voltage on the capacitors.

Q: A parallel plate capacitor is filled by a dielectric whose relative permittivity varies with the applied voltage (U) as ε =  αU where α = 2 V-1 .a similar capacitor with no dielectric is charged to U0 = 78 V. It is then connected to the uncharged capacitor with the dielectric. Find the final voltage on the capacitors.

Two point charges of magnitude + q and -q are placed at (d/2, 2, 0), respectively. Find the equation of the equipotential surface where the potential is zero.

Q: Two point charges of magnitude + q and -q are placed at (d/2, 2, 0), respectively. Find the equation of the equipotential surface where the potential is zero.

Find the equation of the equipotential for an infinite cylinder of radius r0 carrying charge of linear density  λ .

Q: Find the equation of the equipotential for an infinite cylinder of radius r0 carrying charge of linear density  λ .

A test charge q is made to move in the electric field of a point charge Q along two different closed paths [figure first path has sections along and perpendicular to lines of electric field. Second path is a rectangular loop of the same area as the first loop. How does the work done compare in the two cases ?

Q: A test charge q is made to move in the electric field of a point charge Q along two different closed paths [figure first path has sections along and perpendicular to lines of electric field. Second path is a rectangular loop of the same area as the first loop. How does the work done compare in the two cases?

Numerical