Electromagnetic Theory - Study Mode
[#46] Consider the given statements about E(r, t) and B(r, t), the electric and magnetic vectors respectively in a region of free space P. Both E and B are conservative vector fields. Q. Both E and B are central force fields. R. E and B are mutually perpendicular in the region. S. Work done by B on a moving charge in the region is zero. Choose the right combination of correct statements from the following.
Correct Answer
(B) R and S
[#47] Given a wave with the dispersion relation, ω = ck + m for k > 0 and m > 0, which one of the
following is true?
Correct Answer
(B) The group velocity is less than the phase velocity
[#48] At the interface between two linear dielectrics (with dielectric constants $${{varepsilon _1}}$$ and $${{varepsilon _2}}$$), the electric field lines bend, as shown in the figure. Assume that there are no free charges at the interface. The ratio $$frac{{{varepsilon _1}}}{{{varepsilon _2}}}$$ is
Correct Answer
(A) $$frac{{ an { heta _1}}}{{ an { heta _2}}}$$
[#49] An electrostatic field $$overrightarrow {x08f{E}} $$ exists in a given region R. Choose the wrong statement.
Correct Answer
(C) The potential difference between any two arbitrary points in the region R is zero
is zero
[#50] A long cylindrical kept along Z-axis carries a current density $${x08f{hat J}} = {J_0}r{x08f{hat k}},$$ xa0 where $${J_0}$$ is a constant and r is the radial distance from the axis of the cylinder. The magnetic induction $$overrightarrow {x08f{B}} $$ inside the conductor at a distance d from the axis of the cylinder is
Correct Answer
(C) $$frac{{{mu _0}{J_0}{d^2}}}{3}hat phi $$