## Solution Library

#### Determination of Transfer Function, Proportional Gain Constant and Integral Time Constant

Question For the following circuit with the operational amplifiers:   Use the impedance approach to find an expression for a transfer function: E0(S) / Ei(S) Determine the transfer function when: R1 = R2 = R3 = 100kâ„¦ and R4 = 200kâ„¦, C = 20µF. Determine proportional gain ... Read More

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#### Determination of Proportional Band, Integral time constant and Controller bias

Question An analogue controller uses the following relationships: Where: e(t) is the error signal (a function of time), v is a controller output in %. All time units are in minutes. Find: Proportional Band (in %) Integral time constant (Ti) Derivative time constant (TD) Controller bias (i ... Read More

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#### Simplify the Block Diagram and Obtain the Transfer Function

Question Simplify the block diagram and obtain the transfer function C(s) / R(s)   Summary This question belongs to control systems and discusses about a block diagram and to obtain the transfer function. Total word count: 16   ... Read More

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#### Determination of Transfer Function using Impedance Approach

Question For the electrical system shown below:   Use an impedance approach to determine the transfer function, Vout(s) /Vin (s) as a function of L, C and R. Find the natural frequency, n as a function of L, C and R. Find the damping ration (Zeta), ζ as a function of L, C and R. ... Read More

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#### Sensors in the Control Systems Applications

Question There are so many varieties of the sensors in the control systems applications. Choose two sensors and do your own research. Your research needs to include: 1. sketch (or drawing) for both sensors 2. a brief description of their construction and function for both sensors 3. basic ch ... Read More

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#### Simulate Topological Malware Propagation Using MATLAB

Question You are required to simulate topological malware propagation in a simplified network by using discrete-time simulation technique. Until nowadays we still do not have a good analytical model to model malware spreading in a topological network. Email virus/worm, social-network based virus/wo ... Read More

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#### Find Probability of Two Identical Dices Using MATLAB

Question Solve the following using MATLAB: We have two identical loaded dices. They have the following distribution to show up dice number  X:  P(X=1)  =  P(X=2)  =  P(X=3)  = 0.1;   P(X=4)  = P(X =5)  = 0.2;  P(X=6) = 0.3.  Now If t ... Read More

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#### Find Probability of Random Variable Using MATLAB

Question Solve the following using MATLAB: Out of students in a class, 60% are geniuses, 70% love chocolate, and 40% fall into both categories. Determine the probability that a randomly selected student is neither a genius nor a chocolate lover. Summary This question belongs to MATLAB software a ... Read More

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#### Find Probability of Random Variable Using MATLAB

Question Solve the following using MATLAB: Let X be uniformly distributed in the unit interval of [0,1]. Consider the random variable Y=g(X), where  g(x)=1 if x£1/3, and g(x) = 2, if x> 1/3.  Find the expected value of Y. Summary This question belongs to MATLAB software and di ... Read More

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#### Find Probability of Independent Variable Using MATLAB

Question Solve the following using MATLAB: Dave fails quizzes with probability of ¼, independent of other quizzes. (a). What is the probability that Dave fails exactly two of the next six quizzes? (b). What is the expected number of quizzes that Dave will pass before he has failed three t ... Read More

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#### Construct a Markov chain that Describes the Distance Between the Spider and the Fly Using MATLAB

Question Solve the following using MATLAB: A spider and a fly move along a straight line in unit increments. The spider always moves towards the fly by one unit. The fly moves towards the spider by one unit with probability 0.3, moves away from the spider by one unit with probability 0.3, and stay ... Read More