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Problem 1: Lifetime of a VLSI chips manufactured by company X is a normal distribution with μ = 5 * 106 hours and σ = 5 * 105 hours. Your company needs a batch that has at least 95% of the chips with life time greater than 4* 106 hours.
Will you close this deal?
Problem 2: A battery manufacturer claims its product is normally distributed with a life time of average 3 years and a standard deviation of 0.5 years. What is the probability that a battery you purchased lasts more than 2 years?
Problem 3.
a. Fibonacci sequence is found everywhere in nature. Do a google search and read about the presence of 'golden ratio' and the sequence in engineering designs. Write about one example that interests you.
b. Write a Matlab code to generate the Fibonacci sequence to generate the first 20 terms.
c. Plot the golden ratio for the sequence and notice how the ratio approaches a constant.
Problem 4. Write a code to carry out 100 iterations on the recurrence relation
Xn+1 = 4Xn(1 - Xn)
i. Given initial condition X(0) = 0.2ii. Given initial condition X(0) = 0.2001iii. List the final 10 iterations in each case.
A 3-phase 230 V, 9 kVA, 0.9 PF (lagging) load is supplied by 10 kVA, 1330/230 V, 60 Hz three-phase transformer connected in Y-?. The equivalent impedance of transformer referred to the low-voltage side is 0.12 + j0.25.
Determine the input x[n] so that the corresponding output of the above system is y[n] = delta[n] - delta[n - 1] Determine the output y[n] when the input is x[n] = cos(0.5pin) for - infinity
An n-type piece of silicon with a length of .21um and a cross section area of .05x.05 um sustains a voltage difference of 1V. If the doping level is 10^17 cm^-3, Calculate total current flowing through the device at 300K
Design the input and output matching circuits using the given large-signal reflection coefficients. Compute the required input power level.
For comparisons, plot the original speech and the quantized one using 3 bits, 8 bits, and 15 bits.
d^2y/dt^2 - 6dy/dt +36y(t)=25 dx/dt find the zero input response of the system given y(0)=1 and dy/dt when t=0 = -3 find the Laplace system function, H(s) for the system described by equation Equqtion.
Your code should ensure that the input characters are, in fact, part of the upper case alphabet. In the event of an incorrect input, your code should print a message indicating the offending character and exit. You may assume a maximum of 10 input ..
Draw the circuit daigram for the twisted - tail ( Jonhson) counter consisting of 4 Flip flops (A,B,C,D) with the following excitations: Da='Qe, Db=Qa,Dc=Qb,De=Qc.Assume the flip flop are cleared intially .
a) Find the current out of the current source. b) Find the current through the 200-ohm resistor. c) Calculate the power delivered by the source.
A sphere has a radius d and contains a non-uniform charge density of Pv=Po(1-r/d) C/m^3. (a). What is the enclosed Charge for r d (c). What is the electric field for r
A 110 pF capacitor and a 440 pF capacitor are both charged to 2.2 kV. They are then disconnected from the voltage source and are connected together, positive plate to positive plate and negative plate to negative plate.
Water is being heated in a vertical piston-cylinder device. The piston has a mass of 15 kg and a cross-sectional area of 120 cm^2. If local atmospheric pressure is 99.5 kPa, determine the temperature at which the water will start boiling.
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