GATE EC 2022: Electromagnetics Quiz 2

The Electric field associated with an electromagnetic wave propagating through a lossless medium  is   The phase constant  and the wavelength of the wave are respectively?

If a charge is distributed in a spherical volume with charge density .

Then find the electric potential outside the sphere with distance ‘P’ from the centre of the sphere.

Electric field intensity at a distance 3 m above the center of a circular loop of radius 4 m lying in the xy-plane and carrying a uniform line charge + 2 nC/m as shown in the figure is

Volume charge of uniform density 5 nC/m³ is distributed in the region between two infinitely long, parallel cylindrical surface of radii 5 m and 2 m and with their axes separated by distance of 1 m as shown in the figure.

The electric field intensity in the charge-free region inside the cylindrical surface of radius 2 m is

The excess charge in a certain medium decreases to 1/3 of its initial value in 15 μsec. If the conductivity of the medium is (2 × 10^–4) s/m the dielectric constant of the medium is______.