P28_008.PDF

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Chapter 28 - 28.8
8. (a) Below, we graph Eq. 28-4 (scaled by a factor of 100) for
E
=2 . 0V and r = 100Ω over the range
500Ω. We multiplied the SI output of Eq. 28-4 by 100 so that this graph would not be
vanishingly small with the other graph (see part (b)) when they are plotted together.
(b) Inthe same graph, we show V R = iR over the same range. The graph of current i istheonethat
starts at 2 (which corresponds to 0 . 02 A in SI units) and the graph of voltage V R is the one that
starts at 0 (when R = 0). The value of V R are in SI units (not scaled by any factor).
≤
R
≤
2
1.8
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
100
200
R
300
400
500
(c) In our final graph, we show the dependence of power P = iV R (dissipated inresistor R )asafunction
of R . The units of the vertical axis are Watts. We note that it is maximum when R = r .
0.01
0.008
0.006
P
0.004
0.002
0
100
200
R
300
400
500
0
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