All Labs

Electromagnetic Induction Lab

Discover how changing magnetic flux induces voltage in a coil. Move a magnet through a solenoid, spin a generator coil in a magnetic field, and see Faraday's law and Lenz's law play out with animated visualizations and real-time EMF graphs.

Guided Experiment: Faraday's Law — Generator Mode

If you increase the angular velocity of the rotating coil, how do you predict the peak EMF will change?

Write your hypothesis in the Lab Report panel, then click Next.

Controls

Field Strength (B)0.50 T
Coil Area (A)0.010
Number of Turns (N)100
Magnet Speed0.5×

Results

E=NdΦdt\mathcal{E} = -N \frac{d\Phi}{dt}
Magnetic Flux
0.00500 Wb
Instantaneous EMF
-0.051 V
Induced Current Direction (Lenz)
Counterclockwise
NBA product
0.50000 Wb/rad

Induced EMF vs Magnet Position

Data Table

(0 rows)
#TrialModeTurns (N)B(T)A()Peak EMF(V)Frequency(Hz)
0 / 500
0 / 500
0 / 500

Reference Guide

Faraday's Law

A changing magnetic flux through a coil induces an electromotive force (EMF) proportional to the rate of change.

E=NdΦdt\mathcal{E} = -N \frac{d\Phi}{dt}

Where N is the number of turns and Φ is the magnetic flux through one loop. The negative sign reflects Lenz's law. A faster change in flux or more turns produces a larger EMF.

Magnetic Flux

Magnetic flux measures how much of the magnetic field passes through the coil area.

Φ=BAcos(θ)\Phi = B A \cos(\theta)

Where B is field strength in Tesla, A is the coil area in m², and θ is the angle between the field direction and the coil's normal vector. Flux is maximum when field is perpendicular to the coil face (θ = 0).

Lenz's Law

The induced current flows in a direction that opposes the change in magnetic flux that caused it. This is a consequence of energy conservation.

Induced B opposes ΔΦ\text{Induced } \mathbf{B} \text{ opposes } \Delta\Phi

When a north pole approaches the coil, the induced current creates a north pole facing it (repulsion). When the magnet retreats, the induced current creates a south pole (attraction). The magnet always experiences a force opposing its motion.

AC Generators

When a coil rotates in a uniform magnetic field, the induced EMF is sinusoidal. The peak EMF depends on angular velocity.

E(t)=NBAωsin(ωt)\mathcal{E}(t) = NBA\omega \sin(\omega t)

Where ω is the angular velocity in rad/s. The peak EMF is NBAω — doubling the rotation speed doubles the output voltage. This is the principle behind power station generators and alternators.