In the phenomenon called electromagnetic induction, a changing magnetic field creates a voltage in a wire. When you move a wire through a magnetic field, you can imagine that the wire is being pulled by the magnet, and that pulls it into motion.
When you rotate a wire coil around a magnetic field, the coil acquires a continuous voltage. This effect is used in electric generators. When you rotate a wire coil around an external source of energy such as steam or water flow, then you can imagine that the wire is being pulled by the external source of energy and returning it to its original position.
In this experiment, you will perform an experimental test to determine whether or not your hand-held coil is positioned so that the plane of the coil is perpendicular to a magnetic field B⃗ .
Determine the direction of T based on B⃗
Now that you know how to determine the direction of T, you can use this knowledge to hold the wire coil so that the plane of the coil is perpendicular to a magnetic field B⃗.
To do this, you must hold the wire coil so that the turning of the coil does not change its position relative to B⃗. You must also keep the coil plane perpendicular to B⃗.
The best way to do this is to use two hands and hold one end of the wire in each hand. Then, spin the wire until it is parallel to B⃗ and then stop so that it remains parallel. Then, take one hand and slowly pull down on one end of the wire until it is perpendicular to B⃗.
Calculate the magnitude of T using B⃗ and r0
To find the magnitude of T, you must first calculate the magnitude of B⃗ using the plane of the coil and r0 . You can then calculate T using B⃗ , r0 , and N, the number of turns in the coil.
To calculate B⃗ , you must first understand how to calculate the magnitude of a magnetic field using a plane that is perpendicular to it.
A good way to think about this is by imagining you hold a wire coil so that the plane of the coil is perpendicular to a magnetic field B⃗ . Then, how much current I must flow through the coil in order for it to pick up enough magnetic flux to be detectable as an external field?
The answer is: I = N·B⃗ /r0 , where N is the number of turns in the coil, I is the average current flowing through it, and r0 is its radius.
Confirm that there is no torque using r0 and ΦBr
Once you have confirmed that there is no torque, you can determine the plane of the coil using r0 and ΦBr .
Torque is measured in newton-meters (Nm), where one newton-meter is the torque required to give a one-kilogram object a speed of one kilometer per hour.
To confirm that there is no torque, use the formula: r0=ΦBr(1). This formula says that the radius of the circle around which there is no torque is equal to twice the magnitude of the magnetic field times the length of a line drawn from point “r” to point “s.”
However, since you are drawing a line from point “r” to point “s,” then point “s” must be on this line. Therefore, in order to confirm that there is no torque, you must make sure that both points are on the same line.
What happens if you make r0 very small?
If you make r0 very small, then the length of the wire in the B⃗ field is also very small. Then, according to Ampere’s law, there will be a current in the wire.
But since there is no length for the wire in which to have a current, it must be circulating around some axis. But since the magnetic field is perpendicular to the plane of the coil, there can be no such axis.
Therefore, when r0 becomes infinitesimally small, there is no longer any length for the wire in which to have a current, so no current can exist. This is called scalar potentiality.
When scalar potentiality occurs in a coil with a constant external magnetic field B⃗ , then there is no potential difference across the coil; therefore, there is no induced emf within it.
What happens if you make Φ)B(r
If you make Φ)B(rmagnetic flux leaks out of the coil and there is almost no force on the wire.
When Φ)B(r
At this point, if there was a magnetic field B⃗ , then none of the wire’s electrons would feel a force. There would be no current in the wire and it would be electrically neutral.
What happens if you move the plane of the coil with respect to B⃗?
If you hold the wire coil so that the plane of the coil is parallel to B⃗ , then the magnetic field will not affect the current in the coil.
Any electricity that passes through the coil will not experience a force, as it would if it passed through a magnetic field. There will be no induced current in the coil.
This is because you can think of the wire as a collection of tiny magnets. When these magnets pass by a similar magnet, they experience a force.
In this case, there is no magnet in the wire, so there is no force on the current carried by the wire. The current simply flows straight through and out of the end of the coil.
What is a good way to hold a wire coil so that it does not rotate with respect to B⃗?
A good way to hold a wire coil so that it does not rotate with respect to B⃗ is to use what is called a field probe. A field probe is a device that holds the wire coil in place such that the plane of the coil is perpendicular to B⃗.
There are many different types of field probes, some more sophisticated than others. Some have clamps that hold the coil in place, while others have no clamps and require the user to constantly adjust the position of the probe to keep the coil in place.
Some have springs that help hold the wire in place, while others do not.
Why are some magnetic fields uniform, and why do others have non-uniformities?
In most cases, the source of the magnetic field is moving relative to the object being affected by the magnetic field. For example, a magnetic needle swings to point in a certain direction because it is being influenced by a changing external force — namely, the Earth’s geomagnetic field.
In this case, however, we are dealing with an idealized static magnetic field — one that does not change with time.
There are two main situations in which this can occur. The first is when there is no material present in the region containing the magnetic field. The second is when there is no flow of material through the region.
In both cases, there is no material present to change relative to the field, so it remains uniform.
If you make Φ)B(r
When Φ)B(r
At this point, if there was a magnetic field B⃗ , then none of the wire’s electrons would feel a force. There would be no current in the wire and it would be electrically neutral.
What happens if you move the plane of the coil with respect to B⃗?
If you hold the wire coil so that the plane of the coil is parallel to B⃗ , then the magnetic field will not affect the current in the coil.
Any electricity that passes through the coil will not experience a force, as it would if it passed through a magnetic field. There will be no induced current in the coil.
This is because you can think of the wire as a collection of tiny magnets. When these magnets pass by a similar magnet, they experience a force.
In this case, there is no magnet in the wire, so there is no force on the current carried by the wire. The current simply flows straight through and out of the end of the coil.
What is a good way to hold a wire coil so that it does not rotate with respect to B⃗?
A good way to hold a wire coil so that it does not rotate with respect to B⃗ is to use what is called a field probe. A field probe is a device that holds the wire coil in place such that the plane of the coil is perpendicular to B⃗.
There are many different types of field probes, some more sophisticated than others. Some have clamps that hold the coil in place, while others have no clamps and require the user to constantly adjust the position of the probe to keep the coil in place.
Some have springs that help hold the wire in place, while others do not.
Why are some magnetic fields uniform, and why do others have non-uniformities?
In most cases, the source of the magnetic field is moving relative to the object being affected by the magnetic field. For example, a magnetic needle swings to point in a certain direction because it is being influenced by a changing external force — namely, the Earth’s geomagnetic field.
In this case, however, we are dealing with an idealized static magnetic field — one that does not change with time.
There are two main situations in which this can occur. The first is when there is no material present in the region containing the magnetic field. The second is when there is no flow of material through the region.
In both cases, there is no material present to change relative to the field, so it remains uniform.
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