What Is the Faraday's Law & Magnetic Flux Induction Calculator?
Faraday’s Law of Electromagnetic Induction was formulated by Michael Faraday in 1831 and serves as the operational foundation for modern electric power generation.
How Does the Faraday's Law & Magnetic Flux Induction Calculator Work?
Changing magnetic fields exert Lorentz forces on conduction electrons within the conductor, establishing a potential difference voltage across terminals.
Faraday's Law & Magnetic Flux Induction Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
\Phi_B = B \cdot A \cdot \cos(\theta), \quad |\mathcal{E}| = N \cdot \frac{|\Delta \Phi_B|}{\Delta t}
Magnetic flux Phi equals field B times area A times cos theta; induced EMF is turns N times time rate of flux change.
How to Use the Faraday's Law & Magnetic Flux Induction Calculator
- Input magnetic field in Tesla.
- Specify coil cross-sectional area and orientation angle.
- Enter number of coil turns.
- Provide time duration of the flux change.
Step-by-Step Example Calculation
200-Turn Generator Coil in 0.5T Field
Input Values:
magneticFieldTesla:0.5
loopAreaM2:0.04
orientationAngleDeg:0.0
coilTurns:200
timeDeltaSeconds:0.05
Worked Steps: A 0.04 m² coil in a 0.5 T field captures 0.02 Wb of magnetic flux. Collapsing that field in 0.05 seconds induces an 80.0 V EMF.
Understanding Your Result
Magnetic Flux: Total field lines passing through coil in Webers and Maxwell.
Induced EMF: Generated electromotive voltage in Volts.
Factors That Affect the Result
- Field strength B, coil surface area A, number of turns N, and speed of field change 1/Δt.
When Should You Use This Calculator?
- Turbine AC alternator design, dynamic microphone diaphragms, guitar pickup coils, and induction cooktops.
Assumptions & Limitations
- Assumes uniform magnetic flux density across the loop planar area.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard Maxwell-Faraday electromagnetic theory.