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Math Help - Linear function Word Problem

  1. #1
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    Exclamation Linear function Word Problem

    It has been found through the series of experiments that voltage V at the semiconductor diode is related to the charge Q at the diode by the formula V(Q) = V0 (100.434Q/Q0 1),
    where
    Q0 and V0 are some constant reference values measured in Coulombs and Volts, correspondingly.



    Find the ratio of V/V0 when the charge Q is 10% grater than Q0. Round off your answer to one decimal place.
    Which charge (in Coulombs) on the diode is when the voltage is 0 Volts? Present your answer with one decimal palce.

    Assuming that V0 = 0.001 V, find what is the voltage in the diod when its charge is 10 times greater than the reference charge Q0. Round off your answer to three decimal places.
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  2. #2
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    Re: Linear function Word Problem

    Can someone please show me how to work this problem out. I am confused by the Qo/Q and Vo/V. How do they relate to each other?
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  3. #3
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    Re: Linear function Word Problem

    I think your subscript is supposed to be a subscript: Is it
    V= V_0 (10^{0.434\frac{Q_0}{Q}}- 1)
    or
    V= V_0 10^{0.434\frac{Q_0}{Q}- 1}

    In either case, start by dividing both sides by V_0 so the left side is \frac{V}{V_0}. If "Q is 10% greater than Q_0", then Q= 1.1Q_0 so that \frac{Q}{Q_0}= 1.1 and \frac{Q_0}{Q}= \frac{1}{1.1}= 0.9091, approximately. Put that into the right side of the equation and do the calculations.
    Last edited by HallsofIvy; April 11th 2012 at 10:31 AM.
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