Calculate the ratio of the electrostatic force and the gravitational force exerted by protons on each other.
The magnitudes of the gravitational and electrostatic force
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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.
The mass density of copper is 8.95×103 kg m−3. If one charge carrier is contributed by each copper atom, calculate the number density of charge carriers in copper. If
5A current is flowing in a copper wire of cross-sectional area 4×10−6 m2, calculate
the drift velocity of electrons.
State and explain the boundary condition for the displacement vector D at the
boundary separating two dielectric media.
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.
Explain the terms polarisation surface charges and molecular polarisability for a
dielectric material.
Show that, if there are any unbalanced, static charges on an isolated conductor, they
must reside on its surface.
Calculate the ratio of the electrostatic force and the gravitational force exerted by protons on each other.