0° (rms) The average power being absorbed by the load is 100 watts. The apparent power absorbed by the load is 240 VA. Determine the following. Be sure to give units where appropriate.ECE 262 - Test : Final Exam
Spring 2006
Problems common to both regular and honors sections
1. The voltage across an inductive load is 120 0° (rms) The average power being absorbed by the load is 100 watts. The apparent power absorbed by the load is 240 VA. Determine the following. Be sure to give units where appropriate.
a) The power factor.
b) The reactive factor.
c) The complex power. (rectangular form)
d) The reactive power.
e) The impedance of the load (rectangular form)
f) The current through the load. (polar form)
5. Determine the Laplace transforms for the functions shown.
a) f(t) = [5 sin(100t) - 30e-200t] u(t)
b) 
6. The following circuit is a high pass filter with a cutoff frequency of 1000 radians per second. Determine the parameter a. Be sure to indicate the units, if any, of a.
7. Determine the impulse response h(t) for a circuit with a transfer function given by
8. Sketch a Bode amplitude plot for the transfer function
for 0.01 < w < 10,000.
9. For the two-port network shown, determine the g parameters.
10. The y parameters for a two port network are given below. Determine the h parameters for this network.
11. A filter circuit has a transfer function given by H(s) = 0.4 / (s + 5000)
a) Is this a band-pass, band reject, low-pass, or high-pass filter?
b) What is the cutoff frequency (if LP or HP) or the center frequency (if BP or BR)? Give your answer in Hertz.
12. Use the unit step function to write a mathematical expression to describe the function shown on the graph below. Note that f(t) = 3 for t < 0 and f(t) = - 4 for t > 4.
13. What is the magnitude of f(t) = 75 e-3+j7?
14. A sinusoidal source is operating at 60 Hertz. The Thevenin equivalent impedance of the source can be modeled as a 20 ohm resistor in series with a 3 henry inductor. If it is desired to have this source deliver the maximum possible power to a load, what two series components (types and values) would model such a load?
15. A series RLC bandpass filter is to be designed using a 200 mH inductor that has a center frequency of 2 kHz and a bandwidth of 500 Hz. Determine the following.
The quality factor, Q.
The lower cutoff frequency, fc1, in Hertz.
The upper cutoff frequency, fc2, in Hertz.
The resistance, R.
The Capacitance, C.
Problems on regular section exam only
4. Draw an s-domain equivalent circuit for the time-domain circuit shown. Use series equivalent circuits for both the capacitor and the inductor.
16. a) Determine the transfer function H(s) = Vo / Vi for the circuit shown. Simplify the function to a ratio of polynomials in s.
b) Is this a low-pass, high-pass, band-pass, or band reject filter?
Problems on honors section exam only
4. Draw an s-domain equivalent circuit for the time-domain circuit shown. Use series equivalent circuits for both the capacitor and the inductor.
16. a) Determine the transfer function H(s) = Vo / Vi for the circuit shown. The two resistors have the same value. Simplify the function to a ratio of polynomials in s.
b) Is this a band-pass or band reject filter? (You should be able to answer this even if you cannot analyze the circuit!)
c) What is the center frequency of the filter (Hertz)?
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