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1. In an impulse invariance design, show that if Ha(s) is a transfer function of a stable system, the corresponding H[z] is also a transfer function of a stable system.
2. First-order backward differences provide the transformation rule s = (1- z-1)/T
a. Show that this transformation maps the ω axis in the s plane to a circle of radius 1/2 centered at (1/2, 0) in the z plane.
b. Show that this transformation maps the left-half s plane to the interior of the unit circle in the z plane, which ensures that stability is preserved.
Draw a FBD (free body diagram) for a rocket flying at an arbitrary angle. Indicate the force vector due to gravity and force vector due to air resistance. Why does the direction of the net force change over the course of the rocket's trajectory
Thesignal x(t)=u(t-1)-u(t-3) is the input to an LTI systemwith the impulse response h(t)=u(t-5)-u(t-8)The system is initially atrest. (a)Compute the output y(t) of this system using convolution. Make asketch of y(t)
Determine the 8-bit sign-and-magnitude, 1's complement, and 2's complement representations for each of the following decimal numbers: +36, -84. (Note: Be sure to represent +36 as a positive number and -84 as a negative number.)
Investigate the small-signal voltage gain, input resistance, and output resistance as a function of the transistor width-to-length ratio, using a computer simulation.
Explain conditions for Rigid-Body Equilibrium with relevant diagrams.
What are the rated current and internal generated voltage of this generator? What field current does this generator require to operate at the rated voltage, current, and power factor?
Show that the given physical magnetic field at the loop, Bphys(t), is consistent with a monochromatic plane wave solution of Maxwell's equations given by B =iB0 exp[i(kz ? ?t)]
Show that there are by developing an algorithm to generate them in base R, and use algebra to show that numbers generated by your algorithm will have the digit-reversing property. Then generate examples in binary
Calculate the total reactive power and apparent power absorbed by the plant.
An infinite plane in the xz plane carries a uniform surface charge density s1 = 75 nC/m2. A second infinite plane carrying a uniform charge density s2 = 30 nC/m2 intersects the xz plane at the z axis and makes an angle of 30°
An MN flip-flop, where M and N are inputs, has the following behavior. If M = 1, the next state is the complement of the current state. If M = 0, the next state of the flip-flop is equal to N.
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 ..
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