Faraday's Law Calculator - Induced EMF and Magnetic Flux

Your details

Pick the unknown you want to find; all other fields become inputs.
Total number of wire loops (windings) in the coil.
turns
Change in magnetic flux through the coil, in webers (1 Wb = 1 T*m^2).
Wb
Duration of the flux change, in seconds.
s
Cross-sectional area of one loop of the coil, in square metres.
m^2
Change in magnetic field strength through the coil, in teslas.
T
Angle between the field direction and the normal to the coil surface. 0 degrees means the field passes straight through; 90 degrees means it is parallel to the coil (zero flux).
deg
Enter the total resistance of the coil circuit to also calculate the induced current and dissipated power. Leave at 0 to skip.
Ohm
Induced EMF
10V

Electromotive force induced by the changing magnetic flux (magnitude)

Magnetic flux change0.02Wb
Rate of flux change0.2Wb/s
Induced EMF (V)10
Flux change (Wb)0.02
Flux rate (Wb/s)0.2

Induced EMF: 10.0000 V

  • The flux is changing at 0.2000 Wb/s through all 50 turns, driving 10.0000 V.
  • Each loop experiences a flux change of 0.020000 Wb; the coil multiplies this by N = 50.
  • The coil is perpendicular to the field (0 degrees), so all of the flux passes through and induction is maximized.
  • Enter a coil resistance to also see the induced current and power dissipated in the circuit.

Next stepLenz's law ensures the induced EMF opposes the change that caused it, conserving energy. The negative sign in the formula captures this.

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