10.2 Electromagnetic Induction

Electromagnetic Induction

Definition of induction: Electromagnetic induction is the process where a voltage—also known as electromotive force (e.m.f.)—is created in a wire or conductor. This happens when the wire is placed in a magnetic field that is changing. When the magnetic field around the wire changes, it pushes or pulls the electrons inside the wire, making them move. This movement of electrons is what creates electricity.

Relative motion principle: Induction takes place when there is some kind of motion between the conductor (like a wire) and a magnetic field. This motion could mean the wire is moving, the magnet is moving, or the strength of the magnetic field is changing over time. As long as there is a change, electrical energy can be produced in the wire.

Current in closed circuit: When the conductor is part of a closed circuit, which means it forms a complete loop for electricity to travel, the induced voltage will push the electrons around the loop. This creates an electric current, which can then power devices like light bulbs or motors.

Electromagnetic Induction in a Straight Wire

Moving wire induction: If you move a straight piece of wire through a magnetic field, such as between the north and south poles of a magnet, the magnetic field around the wire changes. This change creates an induced voltage, which can cause current to flow.

Field line cutting: The wire must cut through the magnetic field lines for induction to happen. This means the wire has to move in a direction that crosses the invisible magnetic lines. If it does, an electric current can be created.

No induction when parallel: If the wire moves in the same direction as the magnetic field lines—that is, it moves along them rather than across them—no lines are cut. As a result, no voltage or current is induced.

Right-hand rule: To find out which way the current flows in the wire, we use Fleming’s right-hand rule. You hold your right hand so:

  • Your thumb shows the direction the wire is moving,
  • Your first finger points in the direction of the magnetic field (from north to south),
  • Your middle finger then shows the direction of the induced current.

Electromagnetic Induction in a Solenoid

Magnet in solenoid: A solenoid is a coil of wire. If a magnet is moved into or out of the solenoid, the magnetic field inside it changes. This change in magnetic field causes an induced voltage in the coil, which may produce current.

Changing nearby current: Even if the magnet is not moved, if another coil nearby has a changing electric current, this can create a changing magnetic field. That changing field can also induce a voltage in the solenoid.

Magnetic flux definition: Magnetic flux is a measure of how many magnetic field lines go through a certain area, like the space inside a loop of the coil. The more lines that pass through, the higher the flux. If this number changes, a voltage is induced.

Speed affects induction: When the magnet is pushed or pulled faster, the magnetic flux changes more quickly. This faster change causes a bigger voltage to be produced.

Lenz’s law for solenoids: Lenz’s law says the direction of the induced current is always such that it tries to stop the change in the magnetic field. So, if you move a magnet into the coil, the coil makes a magnetic field that pushes it back out.

Factors Affecting the Magnitude of Induced E.M.F.

Field strength: If the magnetic field is stronger, that means there are more invisible magnetic field lines passing through the space. When a conductor like a wire cuts through these stronger field lines, the change in magnetic flux is greater. A bigger change in magnetic flux leads to a greater voltage being induced in the wire. So, the stronger the magnetic field, the larger the induced voltage.

Speed of motion: When the magnet or wire is moved faster, the number of magnetic field lines being cut per second increases. This means the magnetic flux is changing more quickly. A faster change leads to a stronger reaction, and so a larger voltage is produced. If you move it slowly, the voltage is small; if you move it quickly, the voltage is big.

Number of turns: A coil is made of many loops of wire. If there are more loops or turns in the coil, then more wire is available to cut through the magnetic field. Each loop adds to the total voltage produced. So, a coil with more turns will produce more voltage when the magnetic field around it changes.

Conductor orientation: The way the wire moves through the magnetic field also matters. The biggest voltage is made when the wire moves across the magnetic field lines at a right angle (90 degrees). If the wire moves along the field lines instead of across them, very little or no voltage is made because it is not cutting through the field lines.

Faraday’s Law

Faraday’s law principle: Faraday’s Law tells us how much voltage is produced during electromagnetic induction. It says that the size of the voltage depends on how quickly the magnetic flux changes. If the magnetic field changes fast and a lot, the voltage is large. If it changes slowly or only a little, the voltage is small.

Faster change, greater e.m.f.: If you make the magnetic field change faster—like by moving a magnet quickly near a coil or turning a nearby electric current on and off quickly—then you get a stronger, bigger induced voltage. Speed of change matters.

Flux change by motion: Whenever a wire or magnet moves, or if the magnetic field’s strength changes in any way, this creates a change in magnetic flux. That change is what causes a voltage to appear in the wire. No movement or change means no voltage.

Lenz’s Law

Lenz’s law principle: Lenz’s Law explains what direction the induced current will flow. It says that the induced current will always flow in a way that opposes the change that caused it. It’s like the wire or coil is trying to resist or fight back against what is happening to it.

Opposing field creation: The induced current makes its own magnetic field. This new magnetic field works in the opposite direction to the one that caused the current. It tries to cancel or reduce the effect of the change, like applying a brake to slow things down.

Conservation basis: Lenz’s Law follows the rule of energy conservation. That means energy cannot come from nowhere. To create an electric current in the wire, energy must be taken from the thing doing the movement—like a hand pushing a magnet. That’s why it becomes harder to move the magnet when the current is being made.

Repel and attract effect: If you push a magnet toward a coil, the coil creates a magnetic field that repels or pushes the magnet away. If you pull the magnet away, the coil creates a magnetic field that attracts or pulls the magnet back. In both situations, the coil is trying to resist the change.

Direction of Induced Current

Wire direction rule: If we want to know which direction the current flows in a straight wire that is moving through a magnetic field, we use Fleming’s right-hand rule. You use your thumb, first finger, and second finger at right angles to each other to figure out motion, magnetic field, and current direction.

Solenoid direction rule: If the wire is coiled into a solenoid (a long coil of wire), we use Lenz’s Law to find the direction of current. The current will always flow in a direction that makes a magnetic field that opposes the original motion or change in magnetic field.

DC and AC Generators

Generator function: A generator is a machine that takes mechanical energy (like spinning or turning) and turns it into electrical energy. It uses the idea of electromagnetic induction—moving a wire in a magnetic field to make electricity.

DC generator output: A direct current (DC) generator produces a current that always flows in the same direction. It uses a special part called a commutator to flip the wire connections so the output never reverses.

DC applications: DC generators are used in places where a steady, one-way current is needed. Examples include car engines (dynamos) and devices that charge batteries.

AC generator output: An alternating current (AC) generator makes a current that changes direction regularly—it goes forward and backward in cycles. This happens because it uses slip rings, which let the wire connections switch smoothly without flipping.

AC applications: AC generators are used in power stations. They make the electricity we use in our homes. That’s because AC is easier and safer to send through long wires over big distances, like from a power plant to your neighborhood.