Show that, if there are any unbalanced, static charges on an isolated conductor, they
must reside on its surface.
Choose a gaussian surface that everywhere lies just inside the conductor surface. We know that the electric field must be zero everywhere on this gaussian surface so that the
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Two long, straight, parallel wires A and B, separated by a distance of 30 cm, carry currents IA = 10A and IB = 30A. The currents in both the wires flow in the same direction. Calculate the net magnetic field at the midpoint of the line joining the two
wires and perpendicular to them.
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.
State and explain the boundary condition for the displacement vector D at the
boundary separating two dielectric media.
If the space between the plates of a capacitor is filled will a dielectric material, does
it affect the value of capacitance? Justify your answer.
A long, straight wire of radius 5.0 mm carries a current of 20A. i) Calculate the magnetic field at the surface of the wire, and ii) calculate the perpendicular distance, from the axis of the wire, at which the magnitude of magnetic field will be half of
its value at the wire surface.
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.
A uniform plane wave of 100 kHz travelling in free space strikes a large block of a material having
ε = 4 ε0 , µ = 9µ0 and σ = 0 normal to the surface. If the incident
magnetic field vector is given by
B = 10-6 cos (ωt − βy) zˆ tesla
write the complete expressions for the incident, reflected, and transmitted field vectors.