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Given the characteristic equation:F(s) = s^3 + 8s^2 + (8 + K p )s + Ki = 0
a) Show the region of stability in the Kp vs. Ki plane. Shade region which is stable and clearly show if boundaries are included on not included. Colored pens are a must for this picture!
b) Describe the type of response that would exist if the values of Kp and Ki placed the roots on the boundaries determined in part 1. Note consider each boundaries may exhibit a different performance
c) Determine if the system can be made to oscillate at 500 radians/sec. If so, what values of Kp and Ki will make this happen. Show this point on the appropriate boundary.
(a) At t = 0, the current flowing in a 0.5-H inductance is 4 A. What constant voltage must be applied to reduce the current to 0 at t = 0.2 s (b) Starting at t = 0, a constant 12-V voltage source is applied to a 2-H inductor.
a carrier wave is frequency-modulated using a sinusoidal signal of frequency fm and amplitude Am. (a) determine the values of the modulation index beta for which the carrier component of the fm signal is reduced to zero. see the appendix for calcu..
Consider a magnetic dipole carrying a current I. a. Calculate the magnetic flux density B at a point P specified in spherical coordinates. Express the answer in terms of the magnetic dipole moment m. Justify all the assumptions adopted.
From a large lot of new tires, n tires are to be sampled by a potential buyer, and the number of defectives X is to be observed. If at least one defective is observed in the sample of n tires, the entire lot is to be rejected
A half-wave dipole antenna has an input impedance Zant = 73.2 + j42.5 ohms. Design an open-ended shunt stub matching network to match this antenna to a 50ohm line.
Specify how many bits are needed to appropriately digitize each of the following signals. Choose from: 6 bits, 8 bits, 10 bits, 12 bits, 14 bits, or 16 bits. a. A signal where the maximum amplitude is 1 volt and the rms noise is 1.5 millivolts.
Sketch the unit step response of the system below. Show the magnitude of the steady state on the c(t) axis of your response curve and the value of the time constant on the t axis. T(s)=C(s)/R(s)=5/s+2.5
the saturated liquid and vapor mixture at t=300c and quality of 75%.the mixture occupies a volume of 0.05 m^3 (a) find the specific volume in m^3/kg (hints: vf= 0.0014 vg=0.02167m^3/kg at t =300c) (b) find the mass of the mixture in kg.
(a) Find the polarization state of the transmitted beam, assuming that the incident beam is linearly polarized in the y direction. (b) Show that a half-wave plate will convert right-hand circularly polarized light into left-hand circularly polariz..
Using the Nth order term only of the transfer polynomial, find the Nth order relationship for the Nth order products.
What is the new resistance level of a copper wire if the length is changed from 200ft to 100yd, the area is changed from 40,000CM to 0.04 in.^2, and the original resistance was 800m ohms. CM stands for circular mill not cm^2.
Given a real-time digital signal processing system, how do the sampling frequency and the number of bits used in performing the analog-to-digital conversion of an analog input signal impact the design and performance of the system
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