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For each of the following systems with input x(t) and output y(t), state whether or not the system is (i) Linear and (ii) Time Invariant. Note that x(t) could be any complex valued signal.
(a) y(t) = a^2 x(t), where a is a complex number.
(b) y(t) = a x^2(t), where a is a complex number.
(c) y(t) = ax(t) + b, where a and b are complex constants.
1. Determine Laplace transform of (2-2e^-4t)u(t) 2. Determine if x(t) = 9cos(2t)+4sin(pi t) is periodic; if periodic, calculate the period. 3. Compute the inverse Laplace transform of X(s)= (s+2)/(s^2+ 7s + 12).
For a "Personal water craft" water is pumped from beneath the craft and discharged out the rear in a 1.25 inch diameter stream at a velocity of 75 ft/sec. Assuming that the craft and rider weighs 650lbs find the force acting on the craft and maxim..
Assume the coil around the toroid is one single coil and extends all the way around. A toroid is like a donut with a circular cross section. The following characteristics are given: Toroid material = sheet steel, N = 250 turns Inner Radius
A parallel RLC network is constructed with a 5 mH inductor, and the remaining component values are chosen such that Q0 = 6.5 and ω0 = 1000 rad/s. Determine the approximate value of the input impedance magnitude for operation
The system uses a 7-cell reuse pattern. If the offered traffic per user is 0.03 Erlangs and the average number of calls per hour per user is 1.5, for an Erlang-C system with a probability of delaying a call being 5%, calculate the traffic load per..
calculate the amout of mmf generated by a coil of wire having 1300 turns and carrying milliamperes of current?
a) At what time does the peak value of the AC signal occure b) What is the frequency,f,of the AC signal c) What is the period,T,of the AC signal d) At what time does the negitve peak value of the AC signal occur
This solution shows how to work from a given circuit implementation (a J-K flip flop circuit design) to derive the Boolean Logic and in so doing so simplify such logic using Boolean Algebra rules
the operation of an induction machine here used as an asynchronous generator her connected to a 3 phase electric system. a) What does asychronous mean in this context b) How is it possible to improve the operation of this generator on the system
The voltage drops across three resistors in series are measured 10V, 15V, and 25V. If the largest resistor is 47 ohms, what is the value of the smallest resistor?
3) If the input voltage to a Full-Wave Bridge Peak Rectifier is vi(t) = 10.4sin(600t) Volts, what is the peak output voltage. Assume all diodes have a 0.7V drop, (ie. VD = 0.7V). 4) For the previous problem, if the resistor in the circuit is equal t..
Visible light has wavelengths from 400 to 700 nm in a vacuum. a. What is the range of frequencies b. For visible light in water, what is the range of wavelengths
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