AC circuit voltage can be described using a sine wave with the equation??

Discussion in 'Electronics Homework Help' started by Andrew Younger, Jan 11, 2017.

  1. Andrew Younger

    Andrew Younger

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    Hi I am having a bit of trouble with a question and hoping I may be able to get a few pointers in the right direction.

    The question is:
    In an AC circuit the voltage can be described using a sine wave with the equation: v = 150sin (60 pi t + 0.6) V

    I need to work out
    a. the frequency
    b. the amplitude
    c. the relative phase

    I know that the amplitude is 150v so that is (b) taken care of, I am now unsure how to work out the following despite scouring the internet and my reading material. Does anyone know what the numbers in the brackets stand for?

    Thanks
     
    Andrew Younger, Jan 11, 2017
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  2. Andrew Younger

    Alec_t

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    v = amplitude x sin((2 x pi x frequency x time) + phase).
    Compare that equation with the one you have been given.
    Welcome to EP.
     
    Alec_t, Jan 11, 2017
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  3. Andrew Younger

    Kabelsalat

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    Here is the output curve, compared with a similar one without phase shift:

    It is much easier to understand by seeing the function curve.
     

    Attached Files:

    Kabelsalat, Jan 11, 2017
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  4. Andrew Younger

    Laplace

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    The quantity in the parentheses is given in radians. There are 2π radians in 360°. So are you expected to give the frequency in radian measure or in Hz? Phase shift in radians or degrees?
     
    Laplace, Jan 12, 2017
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