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In this question we are given current and voltage data for two different resistors.
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We are asked to plot it, determine whether each resistor obeys ohm's law, and then determine the power dissipated if we connect each resistor to a 4 -volt battery.
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One of the first things we need to do is calculate for each data point the resistance, which will be equal to the voltage divided by the current.
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So for our first data point for a, i get a resistance of 5 .1.
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And for the second data point, i get 3 .11.
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And for the third data point, i get 1 .885.
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And for the last data point, i get 1 .145.
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And then to do the same for resistor b, we'll put that in a row below.
01:07
If i do voltage divided by current here, i get 3 .88 ohms.
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And i'm actually going to get 3 .88 for all of them.
01:25
All right.
01:29
Then our next task is to plot both voltage versus current and resistance versus current.
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And give me just a moment to add my screen grabs of those two plots.
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You will notice for both plots, the blue line represents voltage versus current.
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The red line represents the resistance versus current.
02:01
Resistor a is in the top right of the slide.
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And resistor b is underneath the data that we had before.
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And then i also used the fitting functions to get equations that represent each of these relationships.
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And we'll use those to help answer part d.
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So the first question we are now asked to do to interpret, to answer, to interpret, is, nope, i don't want to be inside.
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Hang on.
02:37
I don't want to be inside that box.
02:39
There we go.
02:40
I'm going to go ahead and type my answers to parts b and c.
02:53
And so for part b, a does not obey ohm's law.
02:58
It does not show a linear relationship between voltage and current.
03:10
And the resistance is not constant as i increases.
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However, for c, part c, b does obey ohm's law for the opposite reasons.
03:27
It shows a linear relationship between voltage and current.
03:35
And r is constant as the current increases.
03:44
Okay, now to answer part d, we want to know the power dissipated when each of these resistors is connected to a 4 -volt battery...