Electromagnetic Theory - Study Mode
[#51] A uniform surface current is flowing in the positive Y-direction over an infinite sheet lying in X-Y plane. The direction of the magnetic field is
Correct Answer
(C) along $$ - {x08f{hat i}}$$ for Z > 0 and along $${x08f{hat i}}$$ for Z < 0
[#52] The electric field $$overrightarrow {x08f{E}} left( {overrightarrow {x08f{r}} ,,t}
ight)$$ xa0for a circularly polarized electromagnetic wave propagating along the positive Z-direction is
Correct Answer
(A) $${E_0}left( {{x08f{hat x}} + {x08f{hat y}}}
ight)exp left[ {ileft( {kz - omega t}
ight)}
ight]$$
[#53] The stateof polarization of light with the electric field vector $$overrightarrow {x08f{E}} = {x08f{hat i}}{E_0}cos left( {kz - omega t}
ight) - {x08f{hat j}}{E_0}cos left( {kz - omega t}
ight)$$ xa0 xa0 xa0 xa0 is
Correct Answer
(B) linearly polarized at -45° to X-axis
[#54] A particle with an initial velocity $${v_0}{x08f{hat i}}$$xa0enters a region with an electric field $${E_0}{x08f{hat j}}$$xa0and a magnetic field $${B_0}{x08f{hat j}}.$$xa0The trajectory of the particle will
Correct Answer
(D) not be confined to any plane
[#55] A thin conducting wire is bent into a circular loop of radius r and placed in a time dependent magnetic field of magnetic induction. $$overrightarrow {x08f{B}} left( t
ight) = {B_0}{e^{ - alpha t}}{{x08f{hat e}}_z},,,left( {{B_0} > 0{ ext{ and }}alpha > 0}
ight)$$ such that, the plane of the loop is perpendicular to $$overrightarrow {x08f{B}} left( t
ight).$$xa0Then the induced emf in the loop is
Correct Answer
(A) πr 2 αB 0 e -αt