- #1

Psyrebro

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- TL;DR Summary
- 1.Straight conductor has an AC current running through it which makes alternating magnetic field

2.Next to it is a coreless coil

-How to calculate voltage induced at the ends of the coil if it's stationary?

-How to calculate voltage induced at the ends of the coil if it's moving alongside the straigh conductor?

So, as it says in the title, I am trying to calculate overall voltage induced in a coreless coil in the cases of it being stationary and moving in an alternating magnetic field. To go more into detail, I would like to create a mathematical model of a coil in an alternating magnetic field that emenates (for this purpose) from a straight, infinite conductor. The prospect of the coil moving in an already alternating magnetic field makes this calculation seem quite tricky to do (to me at least), and I was unable to find definitive answers both on the internet and in the books.

The questions are:

-How to calculate voltage induced at the ends of the coil if the coil is stationary in the alternating magnetic field of a straight conductor?

-How to calculate the voltage if the field is alternating and the coil is MOVING alongside the straight conductor?The problems I'm facing are accounting for the very harsh weakening of a magnetic field with distance. Even if the coil has a diameter of couple of cm, there is a big disparity in magnetic field strength between the near and far side of the coil (relative to the straight conductor). Also, I am kind of confused by thinking about Faradays law in AC environment and the interaction with the moving coil.

Sidequestion: If I were to move the coil physically, how would i calculate the physical resistance it generates cause of repelling magnetic fields?

My attempt(EDIT1):

d1=distance from the straight conductor to the near side of the coil

d2=distance from the straight conductor to the far side of the coil

B1=(μ0∗I)/(2∗π∗d1)

B2=(μ0∗I)/(2∗π∗d2)

Bavg=(B1+B2)/2

I would reduce it by 30% because of radial nature of the magnetic field which weakens linearily with distance and the coil which overlaps with the magnetic field so:

Bavg=0,7*(B1+B2)/2

and finally

Ep=A*N*B*2*π*f

Erms=Ep/sqrt(2)

The questions are:

-How to calculate voltage induced at the ends of the coil if the coil is stationary in the alternating magnetic field of a straight conductor?

-How to calculate the voltage if the field is alternating and the coil is MOVING alongside the straight conductor?The problems I'm facing are accounting for the very harsh weakening of a magnetic field with distance. Even if the coil has a diameter of couple of cm, there is a big disparity in magnetic field strength between the near and far side of the coil (relative to the straight conductor). Also, I am kind of confused by thinking about Faradays law in AC environment and the interaction with the moving coil.

Sidequestion: If I were to move the coil physically, how would i calculate the physical resistance it generates cause of repelling magnetic fields?

My attempt(EDIT1):

d1=distance from the straight conductor to the near side of the coil

d2=distance from the straight conductor to the far side of the coil

B1=(μ0∗I)/(2∗π∗d1)

B2=(μ0∗I)/(2∗π∗d2)

Bavg=(B1+B2)/2

I would reduce it by 30% because of radial nature of the magnetic field which weakens linearily with distance and the coil which overlaps with the magnetic field so:

Bavg=0,7*(B1+B2)/2

and finally

Ep=A*N*B*2*π*f

Erms=Ep/sqrt(2)

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