# Coils rotating in a magnetic field find maximum emf and magnetic feild strength

• taylor.simon
In summary, when a coil is rotated in a magnetic field, the changing magnetic flux induces an electromotive force (emf) according to Faraday's Law of Induction. The maximum emf generated in a rotating coil depends on factors such as the strength of the magnetic field, speed of rotation, and size and shape of the coil. The maximum emf is directly proportional to the strength of the magnetic field, and it can be increased by adjusting factors such as speed, number of turns, and field strength. The rotation of a coil does not directly affect the strength of the magnetic field, but it can change the direction of the field lines passing through it, which can in turn affect the induced emf.
taylor.simon

## Homework Statement

coils rotating in a magnetic field are often used to measure unknown magnetic fields. As an example, consider a coil of diameter 2.00 cm with 72.0 turns that is rotated about an axis perpendicular to the field at a rate of 20.0 Hz. If the maximum induced emf in the coil is 6.00 V, find the strength of the magnetic field.

i can't find the equations anywhere help please

Maximum emf = nABω
where n is the number of turns
A is the ares of the coil
B is the magnetic field and
ω is 2*π*f where f is the frequency of rotasion.

## 1. How do coils rotating in a magnetic field generate an emf?

When a coil is rotated in a magnetic field, the magnetic flux passing through the coil changes. This changing magnetic flux induces an electromotive force (emf) in the coil, according to Faraday's Law of Induction. The faster the rotation, the greater the change in flux and therefore the higher the induced emf.

## 2. What factors affect the maximum emf generated in a rotating coil?

The maximum emf generated in a rotating coil depends on several factors, including the strength of the magnetic field, the speed of rotation, the number of turns in the coil, and the size and shape of the coil. Additionally, the angle at which the coil is rotated relative to the magnetic field can also affect the maximum emf.

## 3. What is the relationship between the maximum emf and the magnetic field strength?

The maximum emf generated in a rotating coil is directly proportional to the strength of the magnetic field. This means that as the magnetic field strength increases, the maximum emf also increases. This relationship is described by Faraday's Law: emf = -N(dΦ/dt), where N is the number of turns in the coil, Φ is the magnetic flux, and dt is the change in time.

## 4. Can the maximum emf generated in a rotating coil be increased?

Yes, the maximum emf generated in a rotating coil can be increased by increasing the speed of rotation, the number of turns in the coil, or the strength of the magnetic field. Additionally, using a larger or differently shaped coil can also increase the maximum emf. However, there are limits to how much the emf can be increased before other factors, such as the resistance of the coil, start to limit the maximum emf.

## 5. How is the magnetic field strength affected by the rotation of a coil?

The rotation of a coil in a magnetic field does not directly affect the strength of the magnetic field. However, the rotation of the coil can change the direction of the magnetic field lines passing through it, which can affect the magnetic flux and therefore the induced emf. Additionally, the strength of the magnetic field can be adjusted by changing the current or voltage in the electromagnet producing the field.

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