# Relationship between magnetic flux and number of turns equation

### Solenoid - Wikipedia

Explain the relationship between the magnetic field and the electromotive force . Express the Faraday's law of induction in a form of equation a change in magnetic flux depends on the change in flux Δ, time Δt, and number of turns of coils. If the wire is then wound into a coil, the magnetic field is greatly intensified producing proportional to the amount of current flowing in the coils windings as shown. a relationship exists between an electrical voltage and a changing magnetic. When a conductor is moved through a magnetic field, an EMF is generated the area becomes the area of one coil multiplied by the number of coils, n = 2πr2n of induced EMF is proportional to the rate of change of magnetic flux linkage: E.

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. 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 Considering a long straight wire cutting a magnetic field perpendicularly to the field lines.

On the other hand, a coil with a particular flux from an external magnetic field will set up its own magnetic field in an attempt to maintain the flux at a constant level if the external field and therefore flux is changed. The coil is 20 cm on each side, and has a magnetic field of 0. The plane of the coil is perpendicular to the magnetic field: There is only an induced emf when the magnetic flux changes, and while the change is taking place.

If nothing changes, the induced emf is zero. While the change is taking place, what is the induced emf in the coil?

### What is magnetic flux? (article) | Khan Academy

Probably the most straight-forward way to approach this is to calculate the initial and final magnetic flux through the coil. The induced emf is then: Does the current flow clockwise or counter-clockwise around the coil? To answer this, apply Lenz's law, as well as the right-hand rule. While the magnetic field is being changed, the magnetic flux is being increased out of the page. According to Lenz's law, the emf induced in the loop by this changing flux produces a current that sets up a field opposing the change.

### Magnetic Torques and Amp's Law

The field set up by the current in the coil, then, points into the page, opposite to the direction of the increase in flux. To produce a field into the page, the current must flow clockwise around the loop.

This can be found from the right hand rule. One way to apply the rule is this. Point the thumb on your right hand in the direction of the required field, into the page in this case. If you curl your fingers, they curl in the direction the current flows around the loop - clockwise.

## Magnetic flux

Motional emf Let's say you have a metal rod, and decide to connect that to your galvanometer. If the rod is stationary in a magnetic field, nothing happens. If you move the rod through the field, however, an emf is induced between the ends of the rod causing current to flow.

This is because when you move the metal rod through the field, you are moving all the electrons in the rod.

• A-level Physics/Forces, Fields and Energy/Electromagnetic induction
• Magnetic Torques and Amp's Law

These moving charges are deflected by the field toward one end of the rod, creating a potential difference. This is known as motional emf. The rotary solenoid has a similar appearance to a linear solenoid, except that the core is mounted in the center of a large flat disk, with two or three inclined grooves cut into the underside of the disk. These grooves align with slots on the solenoid body, with ball bearings in the grooves.

When the solenoid is activated, the core is drawn into the coil, and the disk rotates on the ball bearings in the grooves as it moves towards the coil body.

When power is removed, a spring on the disk rotates it back to its starting position, also pulling the core out of the coil.

## What is magnetic flux?

The rotary solenoid was invented in by George H. Previously used linear axial solenoids were prone to inadvertent releases. Patent number 2, describes the electromagnet and inclined raceways that are the basis of the invention. Leland's engineer, Earl W.

Kerman, was instrumental in developing a compatible bomb release shackle that incorporated the rotary solenoid. Solenoids of this variety continue to be used in countless modern applications, and are still manufactured under Leland's original brand "Ledex", now owned by Johnson Electric.

Rotary voice coil[ edit ] A rotary voice coil is a rotational version of a solenoid. Typically the fixed magnet is on the outside, and the coil part moves in an arc controlled by the current flow through the coils. Rotary voice coils are widely employed in devices such as disk drives. Pneumatic solenoid valve[ edit ] A pneumatic solenoid valve is a switch for routing air to any pneumatic device, usually an actuatorallowing a relatively small signal to control a large device.

It is also the interface between electronic controllers and pneumatic systems. Hydraulic machinery uses solenoids to control the flow of oil to rams or actuators. Solenoid-controlled valves are often used in irrigation systems, where a relatively weak solenoid opens and closes a small pilot valve, which in turn activates the main valve by applying fluid pressure to a piston or diaphragm that is mechanically coupled to the main valve.

Solenoids are also in everyday household items such as washing machines to control the flow and amount of water into the drum. Transmission solenoids control fluid flow through an automatic transmission and are typically installed in the transmission valve body.