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Math Help - find the charge q(t) flowing thru a device if the current is:

  1. #1
    Super Member bigwave's Avatar
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    find the charge q(t) flowing thru a device if the current is:

    A=Amperage C=Coulombs

    i(t)= 3A, q(0) = 1C

    The Ans is 3t+1

    this is very new subject to me but I assume we want to use

     <br />
Q \triangleq \int_{t_0}^t i \ dt<br />
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  2. #2
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    Quote Originally Posted by bigwave View Post
    A=Amperage C=Coulombs

    i(t)= 3A, q(0) = 1C

    The Ans is 3t+1

    this is very new subject to me but I assume we want to use

     <br />
Q \triangleq \int_{t_0}^t i \ dt<br />
    Yes,

    \displaystyle\ i=\frac{dQ}{dt}\Rightarrow\ Q=\int{i}dt

    \displaystyle\int{i}dt=Q=it+q(0)

    where q(0) is the initial charge.
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  3. #3
    Super Member bigwave's Avatar
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    then we just plug

    so for

    \int{i}dt=Q=it+q(0)

    then we just plug in 3 into it and 1C into the q(0)

    to get the 3t + 1C
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  4. #4
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    Yes, that's all that's required Bigwave.
    A constant current of 3 Amps will cause the passing charge through the device to ramp up linearly with time.
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  5. #5
    Super Member bigwave's Avatar
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    I'll be posting a lot more EE stuff if you are up for it.... brave new world for me...
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  6. #6
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    Ok Bigwave!
    I will keep an eye out for those.
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