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⚡ Electrical & Magnetic Flux Calculator

Calculate electrical flux, magnetic flux, flux density, and electromagnetic field parameters. Analyze Faraday's law, Gauss's law, and electromagnetic induction with interactive visualizations.

Flux Analysis Type

Field Parameters

Field Visualization

Analysis Results

Select flux type and enter parameters to see analysis

Field Lines & Vector Plot

Magnetic Flux

Magnetic flux measures the total magnetic field passing through a surface:

Φ_B = B · A · cos(θ)
Magnetic Flux = Field × Area × cos(angle)
Φ_B = ∫ B⃗ · dA⃗
General form for non-uniform fields
  • Unit: Weber (Wb) = T·m²
  • Applications: Transformers, generators, motors

Electrical Flux

Electric flux quantifies the electric field through a surface (Gauss's Law):

Φ_E = E · A · cos(θ)
Electric Flux = Field × Area × cos(angle)
Φ_E = Q/ε₀
Gauss's Law: Flux = Charge / Permittivity
  • Unit: N·m²/C or V·m
  • Applications: Capacitors, field analysis

Electromagnetic Induction

Faraday's law relates changing magnetic flux to induced EMF:

ε = -N × dΦ_B/dt
Induced EMF = -Turns × Rate of flux change
ε = -L × dI/dt
Self-inductance: EMF = -Inductance × dI/dt
  • Lenz's Law: Induced current opposes change
  • Applications: Generators, transformers, inductors

Flux Density

Field intensity and flux density relationships:

  • Magnetic: B = μH (Tesla = Permeability × Field)
  • Electric: D = εE (C/m² = Permittivity × Field)
  • Energy Density: u = ½εE² + ½B²/μ
  • Poynting Vector: S = E × H (Power density)
  • Applications: Wave propagation, energy storage

HOW TO USE

Enter the magnetic field strength (B), the area (A), and the angle between the field and the surface normal. Click Calculate to find the magnetic or electric flux.

FORMULA USED

Magnetic Flux: Φ = B × A × cos(θ)
Electric Flux: Φ_E = E × A × cos(θ)
Gauss's Law: Φ_E = Q ÷ ε₀

WORKED EXAMPLE

A 0.5T magnetic field through a 0.2m² coil at 30° angle: Φ = 0.5 × 0.2 × cos(30°) = 0.5 × 0.2 × 0.866 = 0.0866 Wb.

FREQUENTLY ASKED QUESTIONS

Q: What is magnetic flux?

A: Magnetic flux measures the total magnetic field passing through a surface area. Unit is Weber (Wb) or Tesla·m².

Q: What is flux density (B)?

A: Flux density (or magnetic field strength B) is flux per unit area: B = Φ ÷ A. Unit is Tesla (T) or Gauss.

Q: What is the difference between B and H fields?

A: B is magnetic flux density (Tesla). H is magnetic field intensity (A/m). They relate via: B = μ₀ × μᵣ × H.

Q: What is Gauss's Law for magnetism?

A: Gauss's Law states that the total magnetic flux through any closed surface is always zero — magnetic monopoles don't exist.