Linearize F=R/VI Plot a graph of R against I

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Answer

R=(FV)IR = (FV)I

Step-by-step solution

2 steps

To linearize the equation F=RVIF = \frac{R}{VI} for plotting RR against II, we need to express RR as a function of II in the form Y=mX+cY = mX + c.

  1. Start with the given equation.

    F=RVIF = \frac{R}{VI}
  2. Rearrange the equation to isolate RR.

    Multiply both sides by VIVI.

    R=FVIR = FVI

    This equation is already in a linear form Y=mX+cY = mX + c, where:

    • Y=RY = R (the variable to be plotted on the y-axis)
    • X=IX = I (the variable to be plotted on the x-axis)
    • m=FVm = FV (the slope of the line, assuming FF and VV are constants)
    • c=0c = 0 (the y-intercept)

    The linearized equation is:

    R=(FV)I\boxed{R = (FV)I}

    To plot a graph of RR against II:

    • Plot II on the x-axis (independent variable).
    • Plot RR on the y-axis (dependent variable).
    • The equation R=(FV)IR = (FV)I represents a straight line.
    • This line will pass through the origin (0,0)(0,0) because the y-intercept is 0.
    • The slope of this straight line will be FVFV.
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