How do you find the magnetic field of A vector potential?

The magnetic field is the curl of the vector potential. Find the magnetic field in a region with magnetic vector potential A ⃗ = sin ⁡ ( θ ) r ^ − r θ ^ .

Is magnetic vector potential unique?

For any magnetic field , there are an infinite number of equivalent magnetic vector potentials ( ), related by for some scalar field . So the magnetic vector potential of a magnetic field is not uniquely determined.

Can B vector be the magnetic field?

where Fmagnetic, v, and B are the scalar magnitude of their respective vectors, and θ is the angle between the velocity of the particle and the magnetic field. The vector B is defined as the vector field necessary to make the Lorentz force law correctly describe the motion of a charged particle.

What is the relation between magnetic field intensity B and vector potential A?

Explanation: The magnetic flux density B can be expressed as the space derivative of the magnetic vector potential A. Thus B = Curl(A).

What do you mean by the magnetic vector potential apply it to find the magnetic field near A long straight wire carrying A current?

Thus we see that the magnetic vector potential in the vicinity of a straight wire is a vector field parallel to the wire. If the wire is of infinite length, the magnetic vector potential is infinite. For a finite length, the potential is given exactly by Equation 9.3.

What is magnetic vector potential A vector?

Magnetic vector potential, A, is the vector quantity in classical electromagnetism defined so that its curl is equal to the magnetic field: . Together with the electric potential φ, the magnetic vector potential can be used to specify the electric field E as well.

Is magnetic field intensity A vector quantity?

Magnetic field intensity is the strength of the magnetic field. Hence magnetic field intensity is a vector quantity, which has both magnitudes as well as direction.

Why is magnetic field B field?

Ever wondered why magnetic fields are called B? The origin of B was James Clerk Maxwell himself! In his text, “A Treatise on Electricity and Magnetism”, Maxwell presents a list of the vector quantities he will be dealing with. He then labels them in alphabetical order!

What does B stand for magnetic field?

magnetic flux density
The definition of H is H = B/μ − M, where B is the magnetic flux density, a measure of the actual magnetic field within a material considered as a concentration of magnetic field lines, or flux, per unit cross-sectional area; μ is the magnetic permeability; and M is the magnetization.

What is the relation between potential and magnetic field?

The presence of a magnetic field merely increases or decreases this potential difference once the particle has moved, and it is this change in the potential difference that we wish to determine.

Is magnetic field intensity a vector quantity?

What is A magnetic vector potential derive an expression for it?

The vector A is called the magnetic vector potential. Its dimensions are MLT−1Q−1. Its SI units can be expressed as T m, or Wb m−1 or N A−1. It might be briefly noted here that some authors define the magnetic vector potential from H = curl A, though it is standard SI practice to define it from B = curl A.