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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 jΩ axis) has, as we saw before, a region of convergence that includes the jΩ 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.
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
When placed in series a coil and capacitor resonate at a fequency of 2251Hz and when placed in parallel they resonate at a frequency of 2228Hz. At parallel resonance it is also found that a current of 0.005A flows from the supply when the supply i..
A charged particle starts from rest at the origin of coordinates in a region where there is a uniform electric field E parallel to the x-axis, and a uniform magnetic flux density B parallel to the z-axis. Show that the coordinates of the particle ..
Design a DC current source to meet the following specifications: - Current source value: 100 u-amps +/- 1% (over all possible load and supply voltage conditions). - Output resistance: >20 Mohms. - Available DC voltage sources are bipolar and range fr..
b) find nonhomogeneous solution with method of undetermined coefficient with constants evaluated c) combine homogeneous soluton with nonhomogeneous solution to form the general solution calculate the unknown constant in homogeneous part
A uniform plane wave propogates in the positive z direction with a frequency of 20 MHz. A probe is at z=0 m measuring the phase to 98 degrees and another probe at z= 2 m measures the phase to be -15 degrees what is the relative dielectric constant..
Briefly discuss the source of solar energy and the processes involved by which the earth receive 5.7kWh/m^2/day over the entire surface. If it becomes possible to simulate the same process on earth
A current of 5A flows through a resistor connected in series with choke coil. It is supplied with 250 V , 50Hz supply . If potential difference across resistor is 125 and across choke coil is 200 volt .
An electric flux density is given by D = D0, a rho , where D0 is a given constant, (a) What charge density generates this field (b) For the specified field, what total charge is contained within a cylinder of radius a and height b, where the cylin..
A rigid container holds hydrogen gas at a pressure of 3.0 atm and a temperature of 2.0° C. What will the pressure be if the temperature is raised to 10° C
Assume initially that no inputs have been seen and create a special initial state with output 0 to start the Moore machine. Draw a state graph for a Moore machine (minimum number of states is 5).
If L=0.0053nH, C=15µF find the operating frequency of series LC circuit. What factors decides capacitance? Explain using diagram.
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