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Math Help - complex integral in physics question..

  1. #1
    MHF Contributor
    Joined
    Nov 2008
    Posts
    1,401

    complex integral in physics question..

    there is capacitor which square plates ,each side has length L
    distance between the plates is d.
    we insert a dialectric plate. with dielectric constant e_r

    our capacitor is connected to ressistor and in a row
    and a contant voltage sourse .
    we how one loop
    battery ressistor and cappacitor.

    find the work need to be done in the dielectric plate to move it with some x distance forward.


    how i tried to solve it:

    work is integral of force by distantace
    but we were not given force.

    so our work is the sum of two things
    1.difference netween energys of the capacitor
    2.work of the corrent on the ressistor

    the problem is that that
    the integral is over time but our cappacitace dependant on distace
    and i cant put capacitace as a constant because it canging

    and i dont have the kink betweeb distance and time
    there is no speed
    and
    i searched google for days abour a similar problem
    and i cant find one
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  2. #2
    Newbie
    Joined
    Jul 2011
    Posts
    10

    Re: complex integral in physics question..

    Quote Originally Posted by transgalactic View Post
    there is capacitor which square plates ,each side has length L
    distance between the plates is d.
    we insert a dialectric plate. with dielectric constant e_r

    our capacitor is connected to ressistor and in a row
    and a contant voltage sourse .
    we how one loop
    battery ressistor and cappacitor.

    find the work need to be done in the dielectric plate to move it with some x distance forward.


    how i tried to solve it:

    work is integral of force by distantace
    but we were not given force.

    so our work is the sum of two things
    1.difference netween energys of the capacitor
    2.work of the corrent on the ressistor

    the problem is that that
    the integral is over time but our cappacitace dependant on distace
    and i cant put capacitace as a constant because it canging

    and i dont have the kink betweeb distance and time
    there is no speed
    and
    i searched google for days abour a similar problem
    and i cant find one

    I think this question might better belong in the Physics Forum.
    Nemesis
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