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Plot a graph of l/l against R

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Step-by-step solution

4 steps

To plot the graph of 1I\frac{1}{I} against RR, follow these steps:

  1. Prepare Data Points

    The x-axis will represent RR (Resistance in Ω\Omega), and the y-axis will represent 1I\frac{1}{I} (Inverse of Current in A−1\text{A}^{-1}).
    The data points are:

    • (R,1I)(R, \frac{1}{I})
    • (2 Ω,5.00 A−1)(2 \, \Omega, 5.00 \, \text{A}^{-1})
    • (4 Ω,5.60 A−1)(4 \, \Omega, 5.60 \, \text{A}^{-1})
    • (6 Ω,10.00 A−1)(6 \, \Omega, 10.00 \, \text{A}^{-1})
    • (7 Ω,12.50 A−1)(7 \, \Omega, 12.50 \, \text{A}^{-1})
    • (9 Ω,16.70 A−1)(9 \, \Omega, 16.70 \, \text{A}^{-1})
  2. Set Up Axes and Scales

    Draw two perpendicular axes on graph paper.

    • Label the horizontal axis "R (Ω)R \, (\Omega)". Choose a scale from 0 Ω0 \, \Omega to 10 Ω10 \, \Omega, with suitable increments (e.g., 1 Ω1 \, \Omega per major grid line).
    • Label the vertical axis "1I (A−1)\frac{1}{I} \, (\text{A}^{-1})". Choose a scale from 0 A−10 \, \text{A}^{-1} to 20 A−120 \, \text{A}^{-1}, with suitable increments (e.g., 2 A−12 \, \text{A}^{-1} per major grid line).
  3. Plot Data Points

    Carefully mark each of the five (R,1I)(R, \frac{1}{I}) data points on your graph according to their coordinates.

  4. Draw the Line of Best Fit

    Draw a single straight line that best represents the trend of the plotted points. This line should pass as close as possible to all points, with an approximately equal number of points above and below it. Extend the line to intersect the y-axis.

    The resulting graph will be a straight line with a positive slope.

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