Explore BrainMass

Explore BrainMass

    Faraday's Law

    Faraday’s law of induction predicts how a magnetic field will interact with an electric circuit to produce the electromotive force. This law is the fundamental principle of transformers, inductors, generators and solenoids which allow them to operate.

    Electromagnetic induction was first discovered by Michael Faraday and Joseph Henry independently in 1831. Faraday published the results of his findings first.¹ He explained electromagnetic induction using a concept he called "line of force". Scientist at the time rejected his theoretical ideas. This was due to the lack of mathematical formulation.

    Faraday’s law of induction makes use of magnetic flux through a hypothetical surface whose boundary condition is a wire loop. The magnetic flux is defined by a surface integral. The Maxwell-Faraday equation is:

    ∇ x E = -∂B/ ∂t

    The fields are usually functions of position r and time t. The Maxwell-Faraday equation is one of the four Maxwell’s equations, and therefore plays a fundamental role in the theory of classical electromagnetism.



    1. Ulaby, Fawwaz (2007). Fundamentals of applied electromagnetics. (5th ed.). Pearson:Prentice Hall. p. 255. ISBN 0-13-241326-4 

    © BrainMass Inc. brainmass.com February 2, 2023, 8:28 pm ad1c9bdddf

    BrainMass Solutions Available for Instant Download

    Faraday's Law of Electrolysis

    How much time would it take to deposit 115 g of copper from a copper sulfate solution using a 3.75 Amp current? Assuming optimum conditions and calculating theoretical time. m = 115g Cu F = Faraday's constant = 96,500 C mol ^-1 M = for Cu 63.55 g mol -1 Z = 2e-per atom for copper = 2 I = 3.75 A = 2.5C/s t=x Faraday's

    Rotating electromechanical system

    Please see attached file and help answer the question involving a rotating electromechanical system. Calculate inductances, flux linkages, and voltage.

    Faraday's law of induction: Example problem

    Consider a loop of wire in an external magnetic field. Which of the following choices are consistent with Faraday's Law of Induction? There will be an induced EMF if the external B field is weak. There will be an induced EMF if the external B field is strong. There will be an induced EMF if the external B field is changin

    Dissolution rate of silver-20% gold allow, assuming an average density

    A silver-20% gold alloy sample (1 cm diameter and 0.2 cm height) is subjected to a selective silver dissolution in 0.1 M HNO3 at current density of 1 mA/cm^2. How long will it take until the total amount of silver is dissolved? Assume the average density of 8 g/ cm^3 for the alloy sample.

    Transformer in Circuit - Faraday`s Law

    The transformer in the following circuit (see attached file Figure 4.10) has a turns ratio of 10. A sinusoidal voltage of 10 V rms is applied at terminals 11'. What is I_2? (See attached file for full problem description)

    Generations (Calculate Maximum EMF in Coil)

    A 95 turn square wire coil of area 0.040 m2 rotates about a vertical axis at 1730 rpm, as indicated in Figure P20.30 {attached}. The horizontal component of the Earth's magnetic field at the location of the loop is 2.0 10-5 T. Calculate the maximum emf induced in the coil by the Earth's field. (answer in V)

    Magnetic Field and Induced Current

    A single conducting loop of wire has an area of 7.53E-2 m^2 and a resistance of 106 ohms. Perpendicular to the plane of the loop is a magnetic field strength 0.158 T. At what rate (in T/s) must this field change if the induced current in the loop is to be 0.225 A?