The integral form of Ampere's law in vacuum is
∫B\cdotdl=μ_{0}I
(a) Using the relation between I and J, obtain the differential form of Ampere's
law. You may ignore any displacement current.
(b)Define the displacement current density J_{d} in terms of the displacement
field D and show...
Consider a hollow cylindrical conductor in vacuum with its axis aligned with
the z-axis, and with a positive surface charge density σ. The direction of the
electric field is radial and its magnitude E is only a function of the distance r
from the z-axis, E = E(r).
Use Gauss' law to obtain...