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Transcript
Name ________ ____________
ELEC 291
Electrical Analysis
Assignment #5
Loop or Mesh Equations
IMPORTANT: Make sure that your answers are placed in the space
provided. Show your work on a separate page. Express all answers to
three significant figures using appropriate Engineering prefixes.
1. Find the value of each Y impedance for the  circuit shown in Figure 1.
ZY 1  ________ ____________
ZY 2  ________ ____________
ZY 3  ________ ____________
2. Convert the  circuit shown in Figure 2 to the equivalent T circuit.
1
3. Using  - Y conversion, solve for I in the circuit shown in Figure 3.
I = ________ ____________
2
4. Convert the Y configuration shown in Figure 4 to the equivalent
 configuration
.
5. Convert the T circuit shown in Figure 5 to the equivalent
3

6. Given the Y circuit shown in Figure 6, determine the equivalent  circuit.
7. Convert the following circuit (Figure 7) into an equivalent single current
source and a single internal impedance.
Draw the circuit with calculated values.
4
8. Convert the following circuit (Figure 8) into an equivalent single current
source and a single internal impedance.
Draw the circuit with calculated values.
.
9. The circuit shown in Figure 10 has a voltage and a current source. Combine
current and voltage source to make one equivalent voltage source. Treat the
6.4Ω resistor as the load resistor. Draw the resulting circuit indicating the voltage
source value and the resulting internal impedance attached to the 6.4Ω load
resistor.
5
10. In the circuit shown in Figure 12 determine the current through the
4.1  3.5°  impedance.
I = ________ ____________
12. Potentiometers and rheostats are
a.
b.
c.
d.
not linear devices
not bilateral devices
neither linear nor bilateral devices
linear and bilateral devices
13. Using the superposition theorem, we analyze the circuit using only one
source at a time. All other
a. sources are replaced by a short circuit
b. sources are replaced by an open circuit
c. voltage sources are replaced by an open circuit and current sources by
a short circuit
d. voltage sources are replaced by a short circuit and current sources by
an open circuit.
6
14. In the network shown in Figure 14, the source E1 acting alone causes
52.1  33°V volts across impedance Z 3 . The source E 2 acting alone produces
a voltage of 67.9  -45°V across the same impedance. What is the actual
voltage across Z 3 ?
V3 = ________ _____________
15. Using superposition, determine the expression for the steady-state current i
through the inductor in the circuit shown in Figure 15.
i = ________ ____________
7
16. For the circuit shown in Figure 16, determine the expression of the
instantaneous current.
i = ________ ____________
17. For the circuit shown in Figure 17, sketch the voltage waveform across R L.
NOTE:
After you have finished the fifth assignment, you should arrange to
write the midterm exam. It is a closed book exam but you are permitted 2
sheets of paper, double sided, containing any course related materials that
you consider helpful.
8