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Question 1. Given the unilateral Laplace transformation of
X(s) = 3s2 + 13.s + 15/(s + 2)(s + 3)2
a. Use partial fraction expansion method to write X(s) as the summation or subtraction of several fractional terms.
b. Based on your answer in (a), determine the time domain signal x(t).
Question 2. Determine the Laplace transform of the signals belowa. e-2(t-1)u(t - 1)b. e-2 (t- 1) u(t)C. δ(t - 10)d. (t - 2)u(t - 2)e. t u(t - 2)f. e-5(t-1)cos(4t - 4)u(t - 1)
In a scanning electron microscope, an electron is accelerated by a static electrode biased with a 12 kV voltage relative to the electron source. Upon bombarding the sample the electron “kick out†photons with specific wavelength.
A µ-law compression encoder has: Vi(max) = 8 V, vi(max) = 1V, µ = 255 Determine the output voltage for an input voltage of 2 V
a radio antenna operating at 1.5 MHz has an input impedance of 6+j226 ohms. A capacitor is connected in series with it for tunning purposes. compute the valur of capacitance needed to tune the antenna to resonance.
The probability of answering a question correctly is unity for an examinee who knows the answer and 1/m for a guessee;m is the number of multiple choice alternatives.Compute the probability that an examinee knew the answer to a question given that..
The thermistors are to be sorted, with those having resistances between 8,000 and 15,000 ohms being shipped to a vendor. What fraction of these thermistors will be shipped
A negative feedback amplifier has a close-loop gain Af=100 and an open-loop gain A=105. What is the feedback factor If a manufacturing error results in a reduction of A to 103, what close-loop gain results
Find Vab in the circuit shown in figure (a) and Vba in the circuit shown in figures (b)
A windmill has a diameter of 3 meters. It converts wind enegry to electrical enegy with a efficiency of 40% of the theoretical maxium for windmills. What is the eelctric power output at a wind velcity of 15 miles per hour.
What is the maximum conversion time? - How many clock pulses are required to produce an output of 0100100100?
Use Matlab to verify the above results and determine: a. The starting torque b. The maximum torque c. The slip at which the motor develops maximum torque d. Draw the torque-speed characteristic of the motor
Usually, transformers are designed to operate with peak flux densities just below saturation of the core material. Why would we not want to design them to operate far below the saturation point? Far above the saturation point? Assume that the vol..
Determine and draw the Thevenin Equivalent Circuit for the circuit between points A and B. Determine the current through the capacitor and plot current graph.
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