Quiz #1 F23
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Chandler-Gilbert Community College *
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202
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Electrical Engineering
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Dec 6, 2023
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EEE202 Circuits and Devices Quiz #1
Show all your work in the appropriate order.
Circle all your answers.
Names:
1) ___________________________,
2) __________________________________
3) ____________________________, 4) ___________________________________
Problem 1:
In this problem, we consider some issues associated with power loss (as heat) in high-voltage
transmission lines. In particular, we consider the transmission of power from
Page, Arizona (located near the Navajo Generating Station and the Glen Canyon
Dam), to the Phoenix metropolitan area. This is a distance of about 260 miles. For
this problem, we assume that the high voltage transmission lines have a resistance of
0.05
/mile; the resistance in the 260 mile transmission line is 13
. We model this
system using the following circuit:
The voltage source
VS
models the power generating facilities. The 13
resistor models the
power transmission lines.
RL
models the load (users in the Phoenix metro area).
Note that by controlling the amount of power dissipated by the load and by using
transformers to step voltages up or down (which we will not discuss in detail in this class), the
value of
RL
used to model the load can be varied. In this problem, assume that you can choose
RL
to be whatever is necessary to solve the problem.
(a) Suppose first that
VS
= 400kV, and that the source should supply 800MW to the circuit.
5 points each
i.
Find the value of
RL
so that the power supplied by the source is 800MW.
ii.
For this value of
RL
, what is the power dissipated by the transmission line
(the 13
resistor)?
iii.
What percentage of the power supplied by the source is dissipated by the
transmission line?
(b) Now consider a lower source voltage of
VS
= 200kV.
5 points each
i.
Find the value of
RL
so that the power supplied by the source is 800MW.
ii.
For this value of
RL
, what is the power dissipated by the transmission line?
iii.
What percentage of the power supplied by the source is dissipated by the
transmission line? How does this compare to a source voltage of 400kV?
(c) Using the results of items, parts a and b, determine which source voltage
would transmit power most efficiently: 1kV or 100MV.
5 points
V
s
R
L
1
3
Problem 2:
A contractor for Coyote Solar has reached out to your design team in need of some help
regarding the solar panel configuration and battery module configuration at the house
where they are doing an installation. The lead contractor has drawn up the circuit diagram
for each configuration.
a.
The solar panels shown, are acting as independent current supplies
for the home
office, which is represented by a set of parallel resistors. The direction of the
supplied current is labeled on each bank of solar panels.
On a cloudy day, the
panels are delivering 4A and 1A of current (as shown below). If the
1
resistor
represents the desktop
computer, the
2
resistor represents the laptop
computer, and the
6
resistor represents the printer:
-
What is the
current through
the desktop computer?
(2 points)
-
What is the
current through
the laptop computer?
(2 points)
-
What
power level is the desktop
running at?
(2 points)
-
What
power level is the laptop
running at?
(2 points)
-
If the goal is to improve
energy efficiency
(using less energy)
and both
computers are running for the same amount of time
, which computer is the
more energy efficient choice and why
?
(2 points)
Hint
: this circuit is a “single node pair”.
Desktop
Computer
Laptop
Computer
Printer
b.
Battery modules (like the Tesla Powerwall) are used as storage devices for any
unused daily solar power. A 6V and a 10V battery module are connected to the
house, represented as a resistive circuit, shown below. If the
6
resistor
represents the television:
-
What is the
voltage
across the
television
?
(5 points)
-
How long
(in hours)
can the television be turned on if only
5.4kJ of energy
(total)
from the battery modules can be used for the television?
(5 points)
-
Keep in mind,
1
Watt =
1 Joule/sec OR sec = Joule/Watt
Hint
: this circuit is a “single loop”.
Television
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