EBK MATHEMATICS FOR ELEMENTARY TEACHERS
5th Edition
ISBN: 9780134506609
Author: Beckmann
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Textbook Question
Chapter 11.1, Problem 2P
For each of the following items, state which U.S. customary units and which metric units In common use would be most appropriate for describing the size of the item. In each case, say briefly why you chose the units.
- The volume of water In a full bathtub
- The length of a swimming pool
- The weight of a slice of bread
- The volume of a slice of bread
- The weight of a ship
- The length of an ant
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☐
Part 1:
A linear electrical load draws 1₁ A at a 0.72 lagging power factor. See the table to find ½ for your
student ID. When a capacitor is connected, the line current dropped to 122 A and the power factor
improved to 0.98 lagging. Supply frequency is 50 Hz.
a. Let the current drawn from the source before and after introduction of the capacitor be 1₁ and I₂
respectively. Take the source voltage as the reference and express 11 and 12 as vector
quantities in polar form.
b. Obtain the capacitor current, Ic = 12 − I₁, graphically as well as using complex number
manipulation. Compare the results.
c. Express the waveforms of the source current before (į (t)) and after (i2(t)) introduction of the
capacitor in the form Im sin(2лft + 0). Hand sketch them on the same graph. Clearly label your
plots.
d. Analytically solve i̟2(t) − i₁ (t) using the theories of trigonometry to obtain the capacitor current
in the form, ic(t) = Icm sin(2πft + 0c). Compare the result with the result in Part b.
Chapter 11 Solutions
EBK MATHEMATICS FOR ELEMENTARY TEACHERS
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