# Nonuniform magnetic field and stationary conductor

• pranav p v
In summary, if a conductor moves perpendicular to a non-uniform magnetic field, with the magnet being stationary and the flux lines in the same direction, but varying in space (similar to poles in an alternator), and the conductor moves with constant speed while the magnetic flux varies sinusoidally in space, the induced emf will also be sinusoidal with respect to both space and time.
pranav p v
Situation is this, consider a conductor moves perpendicular to the direction of magnetic field. But magnetic field is not uniform through out the conductor movement( but magnet is stationary and flux lines are in same direction and magic field doesn't change with time but changes with space similar to poles in alternator(chamfered pole). If conductor moves with constant speed and magnetic flux is sinusoidally varying(in space) then what will be induced emf. Sorry my headline is not correct actually it is non uniform magnetic field and moving conductor

Last edited:
pranav p v said:
If conductor moves with constant speed and magnetic flux is sinusoidally varying(in space) then what will be induced emf
It will be sinusoidal as well, w.r.t. both space and time.

## 1. What is a nonuniform magnetic field?

A nonuniform magnetic field is a magnetic field that varies in strength and/or direction over a given region. This means that the magnetic field lines are not evenly spaced and may be stronger or weaker in certain areas.

## 2. How is a nonuniform magnetic field created?

A nonuniform magnetic field can be created by placing magnets of different strengths and orientations near each other, or by using electromagnets with varying current strengths or different coil configurations.

## 3. What is a stationary conductor?

A stationary conductor is a material, such as a metal wire, that does not move relative to the surrounding magnetic field. This means that the conductor experiences a force when placed in a nonuniform magnetic field, but does not move due to its own inertia.

## 4. What happens when a stationary conductor is placed in a nonuniform magnetic field?

When a stationary conductor is placed in a nonuniform magnetic field, it experiences a force due to the interaction between the magnetic field and the free electrons within the conductor. This force can cause the conductor to deform or vibrate, and can also generate an electric current within the conductor.

## 5. What are some practical applications of nonuniform magnetic fields and stationary conductors?

One practical application is in electric generators, where a nonuniform magnetic field and a stationary conducting wire are used to convert mechanical energy into electrical energy. Another application is in magnetic resonance imaging (MRI) machines, which use nonuniform magnetic fields and stationary conductors to create detailed images of the body's tissues and structures.

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