Explain the terms polarisation surface charges and molecular polarisability for a
dielectric material.
A homogeneous and isotropic dielectric is one in which the electrical properties are the same at all points in all directions. The applied electric field displaces the charge centres of the constituent molecules of the dielectric. The separation of the charge centres are. We find that the negative charges of one molecule faces the positive charges of its neighbor. Thus within the dielectric body, the charges neutralise. However, the charges appearing on the sufface of the dielectric are not neutralised. These charges are known as Polarisation Surface Charges. The entire effect of
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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.
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.
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.
Using Maxwell’s equations in free space, derive the wave equation for the
electric field vector. Obtain the conditions under which the following time varying electric and magnetic fields satisfy Maxwell’s equations in vacuum with no source charges or currents:
E = kˆ E0 sin ( y − vt)
B = ˆi B0 sin ( y − vt)
where E0 and B0 are constant.
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.
Show that, if there are any unbalanced, static charges on an isolated conductor, they
must reside on its surface.
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.