# Voltage and magnetic flux relationship

### A-level Physics (Advancing Physics)/Induction - Wikibooks, open books for an open world If the wire is then wound into a coil, the magnetic field is greatly intensified a relationship exists between an electrical voltage and a changing magnetic field to . In physics, specifically electromagnetism, the magnetic flux through a surface is the surface that evaluates the change of voltage in the measuring coils to calculate the magnetic flux. . The relationship is given by Faraday's law: E = ∮ ∂ Σ. Any change in the magnetic environment of a coil of wire will cause a voltage The change could be produced by changing the magnetic field strength, Faraday's law is a fundamental relationship which comes from Maxwell's equations.

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? Solution The energy lost to heat must have come from the falling magnet. Therefore, the velocity of the falling magnet must decrease as it travels through the coil. 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. 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. 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. Solution When the switch is closed current begins to flow down through the left wire.

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.

The resulting change in flux causes a current to be briefly induced until the magnetic field stops changing. You should notice two things: If the magnet is held stationary near, or even inside, the coil, no current will flow through the coil. If the magnet is moved, the galvanometer needle will deflect, showing that current is flowing through the coil. When the magnet is moved one way say, into the coilthe needle deflects one way; when the magnet is moved the other way say, out of the coilthe needle deflects the other way.

Not only can a moving magnet cause a current to flow in the coil, the direction of the current depends on how the magnet is moved. How can this be explained? It seems like a constant magnetic field does nothing to the coil, while a changing field causes a current to flow. To confirm this, the magnet can be replaced with a second coil, and a current can be set up in this coil by connecting it to a battery.

The second coil acts just like a bar magnet. When this coil is placed next to the first one, which is still connected to the galvanometer, nothing happens when a steady current passes through the second coil. When the current in the second coil is switched on or off, or changed in any way, however, the galvanometer responds, indicating that a current is flowing in the first coil.

You also notice one more thing. If you squeeze the first coil, changing its area, while it's sitting near a stationary magnet, the galvanometer needle moves, indicating that current is flowing through the coil.

What you can conclude from all these observations is that a changing magnetic field will produce a voltage in a coil, causing a current to flow.

To be completely accurate, if the magnetic flux through a coil is changed, a voltage will be produced. This voltage is known as the induced emf. The magnetic flux is a measure of the number of magnetic field lines passing through an area.

### Magnetic flux - Wikipedia

If a loop of wire with an area A is in a magnetic field B, the magnetic flux is given by: If the flux changes, an emf will be induced. There are therefore three ways an emf can be induced in a loop: Change the magnetic field Change the area of the loop Change the angle between the field and the loop Faraday's law of induction We'll move from the qualitative investigation of induced emf to the quantitative picture.

Magnetic flux - Electromagnetic Induction in Hindi

As we have learned, an emf can be induced in a coil if the magnetic flux through the coil is changed. It also makes a difference how fast the change is; a quick change induces more emf than a gradual change. 