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In a nonconducting medium characterized by ε = ε_{0} , μ = μ_{0} and conductivity the electric field (in V/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 xyplane. 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
We 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 E_{2} = 100cos(6 × 10^{8}t + 4x)V/m propagates in a medium. Find the value of dielectric constant of the medium.
We have E_{2} = 100 cos (6 × 10^{8}t + 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 = (n^{2})
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 zdirection?
Vector Potential
So, Magnetic field can be written as.
⇒
∵ B_{0} is not along zdirection.
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: σR^{2}ω
In a homogeneous nonconducting region where μ_{r} = 1, the value of ε_{r} will be:
Given
The correct answer is: 16
The time averaged Poynting vector, in W/m^{2}, for a wave with in free space
Given in free space, then will be given as
The correct answer is:
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