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Any causal signal x(t) having a Laplace transform with poles in the open-left s-plane (i.e., not including the j axis) has, as we saw before, a region of convergence that includes the j axis, and as such its Fourier transform can be found from its Laplace transform. Consider the following signals:x1(t) = e-2tu(t)x2(t) = r(t)x3(t) = x1(t)x2(t)(a) Determine the Laplace transform of the above signals (use properties of the Laplace transform) indicating the corresponding region of convergence.(b) Determine for which of these signals you can find its Fourier transform from its Laplace transform.Explain.(c) Give the Fourier transform of the signals that can be obtained from their Laplace transform.
Assume that an additional inductance can be inserted in series with the load. also assume that the converter has no freewheeling diodes. Calculate the added inductance that leads to a conduction period of 180 degrees when alpha = 30 degrees.
Develop a control system to fill a container with water after it is emptied through a stopcock at the bottom. The system must automatically shut off the water when the container is filled.
An inductor rated at 4 Henrys is subjected to a sinusoidal AC voltage of 24 volts RMS, at a frequency of 60 hertza) Write the formula for calculating inductive reactance (XL), and solve for current through the inductor.
Sketch the four band diagrams across all MOS structures in equilibrium (VG = 0 V) and sketch the four band diagrams exactly at threshold (VG = VT), as the surface is inverted. Is the threshold voltage VT >0 or
Suppose it is known that an analog signal varies between -3V and + 3V, but we require the range of this signal to be changed so that it varies from 0 to 5V in order to meet the input range of an analog/digital converter circuit.
Determine a suitable sampling frequency. Design a notch filter to remove the 50Hz component, paying particular attention to any assumptions you have made in the design.
A fluorescent tube fixture takes 1 ampere when connected to a 120-volt source. A wattmeter in the circuit reads 80 watts. What is the' operating power factor of this unit
Once the voltage across the load reaches 5V the load will no longer act as an open circuit and the capacitor will discharge. Once the load voltage has droped to 0.2 the load will act as an open circuit and the capactior will begin to charge once ..
Design a 300W PFC BL-Zeta converter operating in DCM (Output Inductor) to maintain a DC link voltage of 100V with percentage ripple of 4%. The permitted ripple in the input side inductor and intermediate capacitor is given as 20%.
Power Factor, A single phase electric motor has an output power of 10 kW and an efficiency of 90% at full load. The motor is fed from a 240 V supply via a cable that has a resistance of 10 milli ohms per metre length.
A point source of light is 12 cm below the surface of a large body of water (n=1.33 for water). What is the radius of the largest circle on the water surface through which the light can emerge
Write a MATLAB function that will perform a single interpolation given five numbers are input arguments and return the interpolated values as the only function output. Write a MATLAB program that will calculate the following scenarios.
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