# Relationship between magnetic field and induced current formula

The current is a result of an EMF induced by a changing magnetic field, whether or not there is a Express the Faraday's law of induction in a form of equation. From now on we'll investigate the inter-connection between the two, It seems like a constant magnetic field does nothing to the coil, while a. Angle of the wire/current relative to the magnetic field lines. Picture You do not need to know the meaning of this equation for A-level. F, E, v and B are all.

Direction of induced current due to Lenz's law.

Suppose the ends of the coil are electrically connected to each other, ensuring that any current generated is dissipated as heat in the resistance of the wires. What effect would you expect this to have on the falling magnet?

Therefore, the velocity of the falling magnet must decrease as it travels through the coil.

## Induced current in a wire

This would be consistent with the effect of a repulsive force from the two opposing magnetic fields. Interestingly, this effect can occur in any conductor moving through a magnetic field. This effect has many applications in engineering where it is known as eddy-current braking and employed on trains and amusement park rides. Induction in parallel wires If a pair of wires are set parallel to one another it is possible for a changing current in one of the wires to induce an EMF pulse in the neighboring wire.

### Induced current in a wire (video) | Khan Academy

This can be a problem when the current flowing in neighboring wires represents digital data. Ultimately this effect can limit the rate at which data can be reliably sent in this manner.

Electromagnetic Induction: Induced EMF in a Moving Bar in a Magnetic Field

Figure 5 shows a pair of parallel wires. One is connected to a battery via a switch and current meter while its neighbor forms a loop with just a current meter in series. Suppose the switch is briefly switched on then off.

Qualitatively speaking, what will happen to the current measured in the neighbor? Current pulses due to induction between parallel wires. This causes a magnetic field to build up around the wire and along its length according to the right-hand-grip rule.

Some of this field comes out of the page and intersects the right wire. Solve problems on the operation of real transformers and power transmission.

Use the apparatus set up for you to make as many observations as you can. When a conductor moves with respect to a magnetic field or visa versa an electric current is induced. We need to think of magnetic field lines as magnetic flux flux meaning something that flows. Magnetic flux flows out of the north pole of a magnet in back into the south pole.

When a conducting wire 'cuts' across the magnetic flux an induced current is produced. It doesn't matter whether it is the wire or the magnetic field that moves the result is the same. Obviously then wires moving in opposite directions produce opposite induced currents and similarly for magnetic fields moving in opposite directions.

Factors affecting the induced current: Magnetic field strength the magnetic flux density.

Number of pieces of wire. These factors inform many modern designs- motors, generators and dynamos all have many turns of wire inside them.

### Topic Electromagnetic Induction

We have created an induced current and therefore a voltage must exist across the wire. This voltage is driving the current and is therefore an electromotive force EMF. Faraday's Law The induced electromotive force across a conductor is equal to the rate at which magnetic flux is cut by the conductor.

We can deduce the equation for this induced EMF