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    Modified Ampere's law explanation

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    Show why the math for amperes time dependent equation is right.

    At a site they derive the amperes law for a changing electrical field. I know that B is related to current. But what I wanted was an illustration for how the mathematical justification in the attachment is right by pointing out where the dE/dt effects the magnetic field.

    See the attachment.

    © BrainMass Inc. brainmass.com March 5, 2021, 1:29 am ad1c9bdddf
    https://brainmass.com/physics/amperes-law/modified-amperes-law-explanation-592206

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    A condensed version is provided below - see attached file for equations.

    The current density vector J is defined as the change in charge per unit area per unit time.
    So, if we integrate the current density over a surface S, we get the change in charge per unit time on that surface - the current flowing through the surface.
    We write it as:
    (1.1)
    Now assume we have a surface that ...

    Solution Summary

    The solution explains how to obtain the modified Amperes law with time dependent electric fields.

    $2.49

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