A magnetic field can be produced by
Explanation: A magnetic current can be produced by a moving
charge. If the charge is moving uniformly, it will generate a constant
current. If we assume a constant current is flowing through a
conductor of length L, the magnetic field due to it at a distance R
from it is given by Biot-Savart law. The field would be
where i is the constant current and μ0 is the magnetic permeability
of free space and its value is 4π × 10-7 T m A-1. So A. is correct.
A changing electric field can also generate a magnetic field around it. According to Ampere-Maxwell law, the total magnetic field around a region is due to flow of charge carriers (called as conduction current)
and the time varying electric flux. Mathematically
…(i)
where B is the magnetic field, dl is small element of length of an
Amperian loop, μ0 is the magnetic permeability of free space and its value is 4π × 10-7 T m A-1, Ienclosed is the current due to charge carriers (conduction current) and Id is the displacement current which
is related to changing electric field.
The displacement current is related to electric field as
…(ii)
where ϕE is the time varying electric flux through the surface
and ϵ0 is the electric permittivity of free space(vacuum) and is equal
to 8.85 × 10-12 C2 N-1 m-2.
The electric flux is the amount of electric field lines passing
through a surface normally. Mathematically
…. (iii)
where E(t) is the time varying electric field, dS are a small area
element on the surface and θ is the angle between the electric field
vector and area vector (if the field lines are not falling normally).
From (ii) and (iii)
If the conduction current is zero, so the magnetic field will entirely be
produced by the changing electric field and would be produced by it.
Hence B. is correct
Hence D. is correct