Propagation Of Em Wave And Gauge Transformation MCQ Level - 2
10 Questions MCQ Test Topic wise Tests for IIT JAM Physics | Propagation Of Em Wave And Gauge Transformation MCQ Level - 2
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In a non-conducting medium characterized by ε = ε0 , μ = μ0 and conductivity the electric field (in V/m) is given by 
The magnetic field 
(in A/m), is given by
The magnetic field (in A/m), is given by
We known
Two conducting plates of infinite extent, one plate at z = 0 and other at z = 1, both parallel to xy-plane. Then the vector and scalar potential in the region between the plate is given by
The energy density at z = 0, t = 0 and α = π/2
Which one of the following current densities, 
can generate the magnetic vector potential
can generate the magnetic vector potentialWe know that
The amplitudes of electric and magnetic fields are related to each other by the relation
Maxwell’s equation in free space are
Eq. (i) becomes
This equation in term of modulo
A plane electromagnetic wave E2 = 100cos(6 × 108t + 4x)V/m propagates in a medium. Find the value of dielectric constant of the medium.
We have E2 = 100 cos (6 × 108t + 4x) ....(i)
Comparing this with 
we get 
....(ii)
k = 4 ....(iii)
Velocity of emf is given = ω/k
By Eq. (iii) refractive index of the medium
⇒ n = 2 ...(v)
The dielectric constant k = (n2)
k = (2)2
k = 4.0
The correct answer is: 4.0
Which of the following expressions for a vector potential 
does not represent a uniform magnetic field of magnitude 
along the z-direction?
Vector Potential 
So, Magnetic field can be written as.
⇒ 
∵ B0 is not along z-direction.
satisfies the above condition.
The correct answer is: 
An infinitely long hollow cylinder of radius R carrying a surface charge density σ is rotated about its cylindrical axis with a constant angular speed ω. The magnitude of the surface current is
Applying Ampere’s law
The correct answer is: σR2ω
In a homogeneous non-conducting region where μr = 1, the value of εr will be:
Given 
The correct answer is: 16
The time averaged Poynting vector, in W/m2, for a wave with 
in free space
Given 
in free space, then 
will be given as
The correct answer is: 
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