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A dairy farmer wishes to have a model for the cow population of his farm. At the beginning of each year, the cows are divided into three groups. Young heifers (aged 0 to 1 year) make up the first group. The second group consists of cows aged 1 to 2 years, and the third group consists of all cows aged 2 years or older. From past statistical data, the following assumptions are made: Each year, 50% of the third group and 80% of the second group of cows produce a single calf. Half are male and half are female. The males are sold shortly after birth. Each year, 20% of the third group die of natural causes. Some cows from the third group are sold for slaughter each year. Assume that the number of cows sold for slaughter is the input and the population of group 3 is the output of the system. Write the state equations for the system and draw a corresponding simulation diagram. Determine the state-variable matrix parameters (A, B, C, D) for this simulation diagram. Find the operational transfer function for the system. Is the system stable? Would the farmer want a stable system?
A string of Christmas tree lights consists of ten (2W, 11V) bulbs connected in parallel. a) What current flows in each bulb b) What is the resistance of each bulb
The z-transform X(z) of a causal sequence x[n] has a zero at z1 = 0 and three poles at p1 = 3/4 and p2,3 = (1/2)(1 ± j). Determine the z-transform Y(z) of the sequence y[n] = x[n + 3], its pole-zero pattern, and its ROC.
A circular capacitor of radius r is made using SiO2 as the dielectric on a silicon wafer. If a trench of depth l is made to replace the circular capacitor with the trench capacitor with trench depth l, find the ratio of the two capacitances.
Design a BJT mixer with conversion gain of 10dB for an IF load of 1 kohm and a LO amplitude of 10 mV. The RF frequency should be 707 KHz and the IF frequency should be 455 KHz. Hint: calculate the bias components for a VCC of 9 V
Design an op-amp amplifier circuit where the smallest resistor available is 10k . The circuit must yield the relationships shown in the following equation: Vout = 8v1 + 8v2 - 4va - 9vb
Using the commonly available resistors, capacitors, and inductors, design a critically damped series RLC circuit (i.e., all three components are connected in series) with an undamped natural frequency of 20 krad/s.
design a circuit to sort a product which has 2 different color in two diffrenet boxes for example red and green apples no any microcontroller or microprossser are allowed. which color sensor is the best to have 5 volt output so a solenoid may work..
a 14-bit successive approximation adc is used to sample a signal that has a full-scale range of 8V and a clock frequency of 12 MHz and a jitter of 50ns.initially this is used without a sample and hold amplifier.
Consider a PNP BJT optimum designed for low voltage high current gain. (a) Draw energy band diagram with proper labeling with VCB= -0.7V, VEB= 0.7V. Which mode is the BJT operated in (b) Plot excess minority charges stored in each region with pro..
A coiled tungsten wire of diameter 50um and length 10cm is glowing at a temperature of 2000°C within an evacuated light bulb. Determine the irradiance of the filament and the fraction of irradiance within the visible range of wavelength.
Two short antennas each of length 10cm at the origin carry identical currents of I = 5 Sin (wt). One is in the az direction and the other one is in the ay direction. If the frequency of the antenna is 60 MHz then calculate
A 500 hp, three-phase, 2200 V, 60 HZ, 12-pole, Y-connected, wound-rotor induction motor has the following parameters: R1 = .225 ohm : R'2= .235 ohm Xeq = 1.43 ohm and Xm = 31.8 ohm and Rm = 780 ohm
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