Ohm's Law (in electricity) states that the current (I) is proportional to the applied voltage (V). The constant of proportionality is the resistance (R). The resulting equation is: V = I R. This equation is re-arranged to: I = (1/R) V. Since this is a linear equation, the plot between V (on the x-axis) and I (on the y-axis) should be a straight line, with the slope being 1/R. In an experiment, the following data has been obtained for current for different values of the voltage. Voltage 0 1 3 4 5 Current 0.8 2.5 2.9 4.2 5.6 a) Determine the equation for the best-fit line from this data, by using the method of least squares. Equation: b) Plot the data points, and the straight line representing the equation that you found in part 'a'. (Note: the best-fit line will not pass through all the data points) c) Use the slope of the line to find the resistance. Resistance:

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Q1) Ohm's Law (in electricity) states that the current (I) is proportional to the applied voltage (V).
The constant of proportionality is the resistance (R). The resulting equation is: V = IR. This
equation is re-arranged to: I = (1/R) V. Since this is a linear equation, the plot between V
(on the x-axis) and I (on the y-axis) should be a straight line, with the slope being 1/R.
In an experiment, the following data has been obtained for current for different values of the
voltage.
Voltage
1
2
3
Current
0.8
2.5
2.9
4.2
5.6
a)
Determine the equation for the best-fit line from this data, by using the method of least
squares.
Equation:
Plot the data points, and the straight line representing the equation that you found in part
b)
'a'. (Note: the best-fit line will not pass through all the data points)
c)
Use the slope of the line to find the resistance.
Resistance:
LO
Transcribed Image Text:Q1) Ohm's Law (in electricity) states that the current (I) is proportional to the applied voltage (V). The constant of proportionality is the resistance (R). The resulting equation is: V = IR. This equation is re-arranged to: I = (1/R) V. Since this is a linear equation, the plot between V (on the x-axis) and I (on the y-axis) should be a straight line, with the slope being 1/R. In an experiment, the following data has been obtained for current for different values of the voltage. Voltage 1 2 3 Current 0.8 2.5 2.9 4.2 5.6 a) Determine the equation for the best-fit line from this data, by using the method of least squares. Equation: Plot the data points, and the straight line representing the equation that you found in part b) 'a'. (Note: the best-fit line will not pass through all the data points) c) Use the slope of the line to find the resistance. Resistance: LO
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