Question

In: Physics

Could you illustrate the followign? 1. magnetic vector potential A, 2. magnetic flux density B,

Could you illustrate the followign?

1. magnetic vector potential A,

2. magnetic flux density B,

3. and current density j

4. Electric field entisity E

5. Electric Potential V

Expert Solution

Magnetic vector potential
The magnetic vector potential (A? ) is a vector field that serves as the potential for the magnetic field. The curl of the magnetic vector potential is the magnetic field. B? =?×A? The magnetic vector potential is preferred when working with the Lagrangian in classical mechanics and quantum mechanics.

Magnetic Flux Density (B)
Magnetic flux density is defined as the amount of magnetic flux in an area taken perpendicular to the magnetic flux's direction. An example of magnetic flux density is a measurement taken in teslas.

Current Density (J)
the amount of electric current flowing per unit cross-sectional area of a material.

Electric Field INtensity (E)
Electric field intensity is the strength of an electric field at any point. It is equal to the electric force per unit charge experienced by a test charge placed at that point.

Electric Potential V
An electric potential (also called the electric field potential, potential drop or the electrostatic potential) is the amount of work needed to move a unit positive charge from a reference point to a specific point inside the field without producing any acceleration.

genius_generous answered 2 years ago

The magnetic flux density in a region of free space is given by B = −x2...

The magnetic flux density in a region of free space is given by B = −x2 ax + 2y3 ay − 2z az T. Find the total force on the rectangular loop shown which lies in the plane y = 0 and is bounded by x = 1, x = 3, Z= 2, and Z= 5, all dimensions in cm. The current is 30 ampere in anticlockwise direction.

In aregion of space we find atime-varying magnetic flux density given by B = B0sin(ωt −...

In aregion of space we find atime-varying magnetic flux density given by B = B0sin(ωt − ax −by)ˆzT. [11] a. (3 pts) Determine the corresponding electric field intensity E. b. (3 pts) Determine the relation between a, b and ω imposed by Maxwell’s equations. c. (4 pts) Determine the magnetic flux Φm through the rectangular wire from (0,0,0) to π 2a, π d. (1 pts) What is the induced voltage in the above wire?

Use a diagram to illustrate the flow of magnetic flux around a transformer. Draw an equivalent...

Use a diagram to illustrate the flow of magnetic flux around a transformer. Draw an equivalent circuit for this transformer and explain how it relates to the practical transformer.

Find the flux of the vector field F = (3x + 1, 2xe^z , 3y^2 z...

Find the flux of the vector field F = (3x + 1, 2xe^z , 3y^2 z + z^3 ) across the outward oriented faces of a cube without the front face at x = 2 and with vertices at (0,0,0), (2,0,0), (0,2,0) and (0,0,2).

Intro to Electricity and Magnetism Derive the magnetic vector potential of a circular loop of current....

Intro to Electricity and Magnetism Derive the magnetic vector potential of a circular loop of current. Then calculate the magnetic field from your result for the magnetic vector potential.

You hold a wire coil so that the plane of the coil is perpendicular to a magnetic field vector B.

You hold a wire coil so that the plane of the coil is perpendicular to a magnetic field vector B. Vector Bis kept constant but the coil is rotated so that the magnetic field, vector B , is now in the plane of the coil. How will the magnetic flux through the coil change as the rotation occurs? Check all that apply. The flux is unchanged because the magnitude of vector B is constant. The flux increases because the angle...

1. Faraday’s law of electromagnetic induction is a law that states that when the magnetic flux...

1. Faraday’s law of electromagnetic induction is a law that states that when the magnetic flux linking a circuit changes, an electromotive force is induced in the circuit proportional to the rate of change of the flux linkage. Please click the link: https://phet.colorado.edu/sims/html/faradays-law/latest/faradays-law_en.html And observe the fluctuation of induced current in the circuit by moving the magnet.

What is the definition of magnetic flux? What is Faraday's Law? Can you use it effectively...

What is the definition of magnetic flux? What is Faraday's Law? Can you use it effectively to find the currents induced by changes in magnetic flux? How can it be verified experimentally using a field coil and a pickup coil? If you know how the magnetic field changes in time in a field coil, can you determine how the current induced in a pickup coil will change in time?

Magnetic flux lines, by itself, is not very useful. You can’t see them. You can’t touch...

Magnetic flux lines, by itself, is not very useful. You can’t see them. You can’t touch them. They can’t be detected by sensors. So, by themselves, they are not very useful. Yet, as a concept they very useful. But within a context, when they are changing in time, in the vicinity of other things (what things?) they are important. Explain where Magnetic Flux is useful, where it is important?

1.For an angle of zero between the magnetic field and the vector normal to the plane...

1.For an angle of zero between the magnetic field and the vector normal to the plane of the coil: (a) What happens to the light bulb as it enters the magnetic field region? Explain. (b) What happens to the light bulb as it moves while it is completely inside the magnetic field? Explain. (c) What happens to the light bulb as it exits the magnetic field region? NOTE: Use Faraday’s Law to explain. 2.For an angle of zero between the...