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A second order system is described by the differential equation d^2y(t)/dt^2 + 3dy(t)/dt +3ky(t) = 3kr(t) where y(t) is the output, r(t) is the input and k>0. b) Find the range of values of "k" for which the system has two real, distinct, and stable poles. c) Find the value of k such that the system has a percent overshoot between 5% and 10%. d) Find the system sensitivity to k. e) Find the system type as a function of k.
(b) Verify that there are 4.994×(10 to the power 22) atoms per cubic centimeter in the Si lattice at room temperature. (c) Determine the center to center distance between nearest neighbours in the Si lattice.
A bowling ball is placed on a coil spring. The spring constant is 400N/m. When the bowling ball is placed on the spring, the spring compresses down 0.1m. If the spring is vertical how far will the bowling ball go
Given an ideal op amp to implement designs for the following closed-loop gains, what values of resistors (R1,R2) should be used. Where possible, use at least one 10-kohm resistor as the smallest resistor in your design.
Consider a thin ring of radius a with uniform charge density and total charge Q. The ring is cut in half across the diameter and the two halves superimposed to double the effective charge density.
An electron is bound in a one-dimensional infinite potential well with a width of 5Å. (a) Calculate the first three energy levels that the electron may occupy. (b) If the electron drops from the third to the second energy level
A rod on the surface of Jupiter's moon Callisto has a volume of 0.3 cubic meters. Determine the weigh of the rod in units of pounds-force. The specific gravity is 4.7 gravitational acceleration on Callisto is 1.25 meters per second squared.
The amount of heat Q needed to turn a mass, m, of room temperature ( T_1) water into steam at 100 Celcius. ( T_2) can be found using the specific heat, c, of water and the heat of vaporization, H_v, of water at 1 atmosphere of pressure.
Assuming that only integer multiples of a unit bipolar transistor having IS = 3 x 10-16A can be placed in parallel, and only a single voltage source, VB, is available (Fig. 4.54), construct the required circuit with minimum number of unit transist..
Find Rin, Avo, and Ro. Also, if a load resistance of 10k ohm is connected to the output, what overall voltage gain Gv is realized. Now, if a 0.2 V peak sine wave signal is required at the output, what must the peak amplitude of Vsig be.
draw a state diagram for an FSM with an input gcnt and three outputs x,y, and z. The xyz outputs generate a sequence called a Gray code in which exactly one of the three outputs changes from 0 to 1 or from 1 to 0.
Assuming a 24 dB link margin is needed to account for fading and loss due to heavy rainfall on the longest link, while 12 dB link margin is sufficient for the shorter link, what transmitter powers are needed at each of the four transmitters
if we have a circuit with R= 5, L=22mH, C=22nF , Vs=10 and the switch S was opens for a long time and it closes at time t=0 second. all connected in series, how can i find the voltage in the capacitor Vc
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