Present detailed solutions to the following problems. Show all the steps leading to a solution.
Part A. Circuit Analysis.
Fig. 1
1) See Fig. 1. Compute the current through 10 Ω resistor using Mesh analysis.
2) See Fig. 1. Compute the current through 10 Ω resistor using Norton theorem.
Fig.2
3) See Fig. 2. Find the Thevenin equivalent circuit for the portion of the circuit external to points a and b.
Fig.3
4) See Fig. 3. Compute the following:
a. The values of the inductor and the capacitor, assuming a frequency of 50 Hz
b. The current through the Load ZL
c. The complex, average and reactive power delivered to the load ZL
d. The power factor of the load
e. What is the condition for the maximum power transfer?
Fig. 4
5) See Fig. 4. Analyse the circuit and find the following:
f. Average power delivered to each element
g. Reactive power delivered to each element
h. Apparent power to each element
i. The complex, average and reactive power for the entire system
j. Draw a power triangle.
k. Find the current Is
Part B. Filter Design.
Design an active high pass filter that satisfies the following requirements:
· 1dB gain at pass band frequency of 10kHz
· -20dB gain at stop band frequency of 2kHz
· maximally flat response in pass band
Determine the correct type of filter and the filter order. Design the filter, and construct the circuit in Multisim. Measure the amplitude and phase transfer functions of the filter and demonstrate that it meets design specifications. Document your design and simulations in the report.
What to submit:
· A report with answers and detailed solutions to each problem.
· Screenshots demonstrating you have accomplished the required tasks.
Marking Scheme
Please note, working with others is an important part of computing – however, for your assignment, if your answers are the same as somebody else’s, or mostly the same as someone else’s, then you both will fail the assignment and will need to attend a plagiarism hearing.
The marks will be allocated as follows
A submission is unlikely to attract an excellent grade unless the following criteria are met.
· You must provide evidence that the work is your own, references and quotations are given in the standard manner and clear discussion and documentation.
· Your report should be clearly written and presented.
· The University’s standard marking descriptions apply, see below
Description of Assessment Performance |
Grade, Corresponding Grade Point |
Excellent work |
A+ 16
A 15
A- 14 |
Generally good work, but with some defects |
B+ 13
B 12
B- 11 |
Generally sound work, but with a number of notable errors and/or omissions |
C+ 10
C 9
C- 8 |
Work satisfactory, but with a number of significant errors and/or omissions |
D+ 7
D 6
D- 5 |
Work unsatisfactory, with serious errors and/or omissions |
E 4 |
Work of a very poor standard, with little relevant information |
F 2 |
Work containing nothing of merit |
G 1 |