We call it induction when we pass a conductor through a magnetic field to produce voltage.
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When magnetic flux lines of force are cut by induced voltage between magnetic and electric currents. Electromagnetic induction is created.
The speed of the conductor through the magnetic field, which translates into the number of magnetic lines of force the conductor can cut per unit time, will determine the magnitude of the voltage induced in the conductor. As an additional factor, if a longer piece of wire can be moved through the magnetic field, it will induce more voltage as well. The more speed we can put on the conductor, and the more of the conductor we can move through the magnetic field, the more voltage we can induce in the conductor.
The Hall effect is the production of a voltage difference (the Hall voltage) across an electrical conductor, transverse to an electric current in the conductor and a magnetic field perpendicular to the current. It was discovered by Edwin Hall in 1879
If an electrical current passes through a conductor, there is an induced voltage (because no conductor has perfectly zero ohms), resulting in power dissipation, and there is a magnetic field, which can interact with other conductors in the vicinity of the first.
The magnitude of the voltage induced in a conductor moving through a stationary magnetic field depends on the length and the speed of the conductor.
According to Faraday's law, a voltage is induced in a conductor by a changing magnetic field.
Presumably, you are asking what happens when a conductor 'cuts' lines of magnetic flux? If so, then a voltage is induced across the ends of that conductor.
Moving a conductor through a magnetic field will produce alternatinc current (AC).
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Voltage
When magnetic flux lines of force are cut by induced voltage between magnetic and electric currents. Electromagnetic induction is created.
Moving a conductor (a wire) in a magnetic field will create voltage in the wire. Note that relative motion must occur, i.e., the wire must move "across" the magnetic lines of force, and not "along" them to create voltage. Moving a conductor in a magnetic field is the basic idea behind motors and generators.
You would induce a voltage from one end of the conductor to the other.
A magnetic field, a conductor and movement.
A: Believe it or not that what a transformer does