The Faraday’s Law Calculator helps users determine the induced electromotive force (EMF) in a coil when there’s a change in magnetic flux. This calculator is a valuable tool for physics students, engineers, and researchers working in electromagnetism or electrical systems. It simplifies the application of Faraday’s Law by converting values of flux change, coil turns, and time into precise voltage outputs.
This calculator belongs to the Electromagnetism and Physics Calculators category. It is useful in designing transformers, understanding electric generators, analyzing magnetic induction, and solving educational problems in electromagnetic theory.
formula of Faraday’s Law Calculator
Faraday’s Law (EMF) = −N × (ΔΦ / Δt)
Where:
EMF = Induced electromotive force (volts)
N = Number of turns in the coil
ΔΦ = Change in magnetic flux (webers)
Δt = Time over which the change occurs (seconds)
The negative sign reflects Lenz’s Law, indicating that the induced EMF creates a current that opposes the change in flux.
To find the change in magnetic flux, use:
Φ = B × A × cos(θ)
Where:
B = Magnetic field (tesla)
A = Area through which field passes (m²)
θ = Angle between the magnetic field and the perpendicular to the surface
These formulas are fundamental to many electromagnetic applications in science and technology.
Reference Table of Common Electromagnetic Terms
| Term | Symbol | Definition | Unit |
|---|---|---|---|
| Magnetic Field | B | Field strength in the coil | T (tesla) |
| Area of Coil | A | Area through which flux passes | m² |
| Angle | θ | Angle between magnetic field and surface | degrees |
| Magnetic Flux | Φ | B × A × cos(θ) | Wb (weber) |
| Time Interval | Δt | Time over which flux changes | seconds |
| Electromotive Force | EMF | Induced voltage from flux change | volts |
This table gives quick access to the variables and units involved when calculating induced EMF using Faraday’s Law.
Example of Faraday’s Law Calculator
Let’s calculate the EMF induced in a 50-turn coil where the magnetic flux changes from 0.1 Wb to 0.05 Wb in 0.02 seconds.
Step 1: Find change in flux
ΔΦ = Φ_final − Φ_initial
ΔΦ = 0.05 − 0.1 = −0.05 Wb
Step 2: Use the formula
EMF = −N × (ΔΦ / Δt)
EMF = −50 × (−0.05 / 0.02) = −50 × (−2.5) = 125 volts
So, the induced EMF is 125 volts.
Most Common FAQs
Faraday’s Law explains how a change in magnetic flux through a coil induces an electric current. It is a key principle behind electric generators, motors, and transformers.
The negative sign represents Lenz’s Law, which shows that the induced EMF will always oppose the change in magnetic flux, preserving energy balance.
Yes, especially when the magnetic flux changes periodically, such as in AC generators. The calculator works for any system where magnetic flux varies with time.