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1. The closed-loop transfer function of a system is T(s) = 11.1(s +18)/ ((s + 20)(s2 + 4s +10))
Plot the poles and zeros of this system and discuss the dominance of the complex poles. What overshoot for a step input do you expect?
2. A unity feedback control system has the loop transfer function: L(s) = Gc(s)G(s) = K/(s(s +sqrt(2K))
Determine the percent overshoot and settling time (using a 2% settling criterion) due to a unit step input. For what range of K is the settling time less than 1 second?
What is the total power density and total available current density between wavelength of 280 and 1240 nm for the AM0 and AM1.5 spectra. Assume each photon generates on electron-hole pair. You will need AM1.5 and AM1.0 spectra.
c) Write the SOP boolean equations as obtained directly from the partial truth table above and sketch a logic circuit diagram for them. d) Reduce the above equations step-by-step into the simplest form that would use only NAND gates.
The amplifier is connected to the handset antenna which has an impedance of 35 + j10 at one unspecified operating frequency. Find the inductive reactance and capacitive reactance needed to match the transmitter output to the antenna
An LVDT with associated signal conditioning will be used to measure work-piece motion from -20 to +20 cm. The static transfer function is 2.5 mV/mm. The output will be interfaced to a computer via an ADC.
Design a vending machine controller. The machines sells coke and pepsi. The cost is 25 cents, accepting dimes and nickels. When a dime is inserted the input D is asserted. When a nickel is inserted the input N is asserted.
Bandwidth, In a given communications system, one signaling element is used to represent 64 bits. The required data rate is 1.789 Mbps.
Generate a sine wave signal with amplitude A=1, and frequency=0.1592Hz. Using a uniform PCM method, quantize it ot a) 8-level and b) 16-level. Plot the original signal and the quantized signals on the same axes
Find all values of alpha such that the system is stable for K = 2. If the unity feedback closes around this G(s) and an input is a unit step r(t) = 1u(t), what is the stead-state error, e_ss, as a function of alpha and K?
A sinusoidal voltage has a maximum value of 100V, and the value is 10V at t=0. The period is T=1ms. Determine the angular frequency, w, in rad/sec.
Step-down transformer
A Si PIN photodiode has an i-Si layer of width 20 µm. The p+ layer on the illumination side is very thin (0.1µm). The PIN is reverse biased by a voltage of 100 V and then illuminated with a very short optical pulse of wavelength 900 nm.
An amplifier with a voltage gain of +30db, an input resistance of 8 k ohms, and an output resistance of 2 k ohms is used to drive a 2 k
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