Faraday's Law Calculator

Utilise Faraday's Law Calculator to find the induced electromotive force in a circuit effortlessly and fastly by entering the required input details. You have to provide the area of the loop, number of turns of the loop, magnetic flux, magnetic field, and time in the specified sections and hit calculate button to check the result.

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Magnetic field(B):
Area of the loop(A):

Faraday's Law Calculator: Are you scared of finding the answers to physics problems? Fear Not and make use of our free, easy to operate tool that helps to calculate the EMF in a circuit. Our calculator is designed to help people of any physics knowledge can solve the problems on Faraday's law easily. In addition, you can also get a detailed description of steps to find the induced voltage and more details about Faraday's law in the following sections.

How to Calculate Induced EMF?

Below given are the steps to evaluate the electromotive force induced in a closed circuit. Follow these principles and get the result.

  • Check area of the loop, number of turns, magnetic field and time details.
  • Magnetic flux is the product of the magnetic field and area.
  • Divide the flux by time.
  • Get the product of number of tuns of the loop with the result to check the EMF.

Faraday's Law | Lenz's Law

Faraday's law is the basic law of electromagnetism that helps to predict how the magnetic field interacts with the circuit to produce the electromotive force.

Faraday's first law of electromagnetic induction states that when a conductor is placed in a varying magnetic field, EMF is induced.

Faraday's second law of electromagnetic induction states that induced emf in a coil is equal to the rate of change of flux.

EMF = - N * dΦ / dt


N is the number of turns of the loop

dΦ / dt is the rate of change of flux

t is the time

Φ is the magnetic flux

Lenz's law states that the polarity of induced emf produces a current that opposes the change in flux that produced it.

Magnetic flux is defined as the product of magnetic field and area of the loop.

Φ = B x A


Question: Calculate the magnitude of the induced emf when the magnet is thrust into coil has an area of 150 cm, 5 turns, magnetic field is 2 T and time is 50 seconds.


Given that

Area of the loop A = 150 cm = 1.5 m

Number of turns of the loop N = 5

Magnetic field B = 2 T

Magnetic flux Φ = B x A

= 1.5 x 2 = 3

Induced EMF = - N * dΦ / dt

= -5 x (3/50)

= -0.3

Therefore, the induced EMF is -0.3 V

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FAQ's on Faraday's Law Calculator

1. What is the formula for induced emf?

The formula to calculate the induced electromotive force is EMF = - N * dΦ / dt. Here, N is the number of turns of the loop, dΦ / dt is the rate of change in flux to the change in time through the loop.

2. How to calculate the electromotive force?

Obtain the area of the loop, number of turns of the loop, magnetic field, flux and time. The product of the magnetic field and area is the magnetic flux. The rate of change of flux to the time times the number of turns is the EMF.

3. What is Faraday's 2nd Law?

Faraday's second law of electrolysis states that the masses of different ions are liberated at the electrodes if the same amount of electricity is passed through different electrolytes and is proportional to their chemical equivalents.

4. What are the applications of Faraday's law?

Below-mentioned is the applications of Faraday's law.

  • Electric guitar and electric violin are musical instruments that are applications of the law.
  • Electrical devices like transformers work on the law
  • Induction cookers work on the basis of mutual induction that is the principle of Faraday's law.

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