Two concentric thin metallic spheres having radii 30 cm and 20 cm carry 10 µC and
5 µC, charges respectively. Calculate the electric potential at a distance of 25 cm
from the centre of the spheres.
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The line density of charge in a wire is 0.2 Cm−1. If this wire is symmetrically enclosed, along its length, by a cylindrical surface of radius 1 m and length 1.5 m, calculate i) the electric flux through the cylindrical surface, and ii) the electric field
at the curved surface of the cylinder.
The radius of the wire in a coaxial cable is 0.65 mm and the inner radius of the coaxial conducting cylinder is 1.45 mm. Assuming that there is vacuum between the
wire and the cylinder, calculate the capacitance of a 1.5 m length of the cable.
What is the difference between ohmic conductor and non-ohmic conductor? Give
one example each and draw their IV characteristic curves.
The magnitude of work done in taking a unit positive charge in electric field E from point A to point B is given by:
Show that the value of the line integral of the electric field (right hand side of the above equation) does not depend on the path taken to move the unit positive charge
from point A to B.
An electron and a proton, moving with equal velocity, enter a region of uniform, perpendicular magnetic field. Calculate the ratio of the radii of their circular paths in
the field.
At the centre of an air core solenoid, the value of the magnetic field B is 0.40 mT. If
the current flowing in the solenoid is 0.4 A, calculate the number of turns per cm.
Calculate the ratio of the electrostatic force and the gravitational force exerted by protons on each other.