Faraday's Law of Induction states that a change in magnetic flux through a coil induces an electromotive force (EMF). This is the principle behind electric generators and transformers.
Welcome to our Faraday’s Law of Induction Calculator! This tool helps you calculate the induced electromotive force (EMF) and voltage in a system influenced by changing magnetic fields. Whether you're a student studying electromagnetism or a professional engineer, this calculator makes applying Faraday's Law easy and accurate.
Faraday’s Law of Induction is a fundamental principle in electromagnetism. It explains how a time-varying magnetic field within a closed loop of wire induces an electromotive force (EMF) in the wire. This phenomenon is the basis for the operation of electric generators, transformers, and inductors.
The law is expressed as:
EMF = - dΦ_B / dt
Where:
The negative sign in Faraday’s law signifies that the direction of the induced EMF opposes the change in magnetic flux, a principle known as Lenz’s Law.
To calculate the induced EMF, follow these simple steps:
EMF = - ΔΦ_B / Δt
Given: The magnetic field changes from 0.5 T to 1 T over an area of 0.02 m², and the time interval is 2 seconds.
First, calculate the change in magnetic flux:
ΔΦ_B = (1 T * 0.02 m²) - (0.5 T * 0.02 m²) = 0.01 Wb
Next, apply Faraday’s law to calculate the induced EMF:
EMF = - 0.01 Wb / 2 s = -0.005 V
The induced EMF is 0.005 V (the negative sign indicates the direction of the induced EMF according to Lenz's Law).
This Faraday's Law of Induction Calculator provides quick, accurate results for calculating EMF. It is a useful tool for students, engineers, and anyone studying or working with electromagnetic principles.