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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.
a meter stick of uniform mass distribution and a mass of 0.150-kg is arranged as follows; a fulcrum is placed under the stick at the 20-cm mark on the stick. A mass of 0.100-kg is suspended from the 90-cm mark.
Consider a circuit consisting of a sinusoidal source vs(t) = cos(t)u(t) volts connected in series to a resistor R and an inductor L and assume that they have been connected for a very long time. (a) Let R=0 and L=1 H. Compute the instantaneous and ..
Given a course voltage of 10V, a source resistance of 10 ohms, a 10mH inductor, and a 5nF capacitor, choose a load resistance and draw a circuit that will have an underdamped (decaying sine wave) second order transient response.
After having the VHDL code tested, make sure to run ISE-Simulator. Since there are 4 inputs, modify the test-bench code for all sixteen possibilities. View the waveform and test it against your truth table.
a certain ideal voltage generator is characterized as v(t) = 40 sin 377 t . If this generator is measured with a DC voltmeter, the instrument reads 12 volts, what is the rms value of this voltage waveform
The prime mover rotates the armature at a speed of 1000 rpm. Determine the no-load voltage, the full-load voltage, and the torque required by the prime mover at full load if the full-load power required by the load is 3 kW
The input signal to a filter contains components that range in frequency from 100 Hz to 50 kHz. We wish to reduce the amplitude of the 50-kHz component by a fctor of 200 by passing the signal through a first-order lowpass filter.
A PPL multiplier transmitter is to operate with a 915 MHz output. With a divide factor of 64, what value of crystal is needed
A shunt DC motor has RA = 0.7-ohm and VT =429.6 V. For an output power of 50.4 hp, we have nm = 1,452 rpm and IA = 110.8 A. The field current remains constant for all parts of this problem. Find the rotational power loss in watts.
a voltage divider is required to produce a 5.5V output from a 12V source. if one of the resistor values is 1.0k, what value is required for the second resistor so that the voltage across the 1.0k resistor is 5.5V
Consider a 4 channel CDM system with the following CHIPS: A: -1 -1 -1 1 B: -1 -1 1 -1 C: -1 1 -1 -1 D: -1 1 1 1 a) Show that each one of those chips is orthogonal to all of the others. b) If the CDM signal 1 -1 -3 1 is received, by all receivers, ..
Draw a relay construction diagram and briefly explain the operation of a relay.
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