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Thread: Inequality Problem

  1. #1
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    Inequality Problem

    The elements of an electric circuit dissipate $\displaystyle p$ watts of power. The power $\displaystyle p_R$ dissipated by a resistor in the circuit is given by $\displaystyle p_R=Ri^2$, where $\displaystyle R$ is the resistance (in Ohms) and $\displaystyle i$ is the current (in A). Graph the possible values of $\displaystyle p$ and $\displaystyle i$ for $\displaystyle p>p_R$ and $\displaystyle R=.5$ Ohms
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  2. #2
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    $\displaystyle p>p_R$
    $\displaystyle
    p_R = Ri^2$
    $\displaystyle
    p>Ri^2$

    Can you graph it now?
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  3. #3
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    So $\displaystyle p_R = Ri^2\quad \Rightarrow y=.5x^2$

    And $\displaystyle p>p_R\quad \Rightarrow y=.5x$

    Are those right?
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  4. #4
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    What you are trying to do is to graph p against i and find the region that satisfies the properties $\displaystyle p>p_R$ and $\displaystyle p_R = .5i^2$

    $\displaystyle p>p_R$ and $\displaystyle p_R = Ri^2$ => $\displaystyle p>Ri^2$
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