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Consider the difference equation:y(n)=(5/6)y(n-1) - (1/6)y(n-2) + x(n)where x(n) = 2^n u(n)and y(n) = 0 for all n < 0.(i) Calculate the homogeneous solution.(ii) Calculate the zero-input solution.(iii) Derive the zero-state solution.(iiii) Derive the total solution.(iiiii) Verify that the total solution = zero-input solution + zero-state solution.(iiiiii) Derive the impulse response.
Use MATLAB to compute the inverse Laplace transform of X(s)=(s^2+2s+1)/(s(s+1)(s^2+10s+50)) and determine the value of x(t) in the steady state. How would you be able to obtain this value without computing the inverse? Explain.
The balanced 60Hz waveform sample that we must modulate is the point where t=4.4ms. The DC voltage from rail to rail is 300V. assume the q axis and a axis are in same direction. The use of mathCAD is recommended.
A 2000 hp, 1.0 power factor three phase Y connected 2300V, 30 Pole, 60Hz; synchronous motor has a synchronous reactance of 1.95 ohms/phase. For this problem all losses may be neglected.
A current I = 15√2
A NEMA design B, 3-phase, 60 Hz, Induction motor is rated: 60 HP, 460V, 71A, 93.0% efficiency, NEMA code G, 1180 RPM: A. What is the power factor of the motor B. What is power factor of the motor when operating at 1/2 load
a. Sketch the spectrum of the original signal and the sampled signal from 0 kHz and 25 kHz. b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal. X(f) 10k 2..
In a simple model of the hydrogen atom an electron has a circular orbit of radius 5.0 x 10-11 m around a stationary proton.(a) the magnitude of the electrical force exerted by the proton on the electron, (b) the speed of the electron in its motion ar..
Consider a permanent-magnet dc-motor with the following parameters: Ra=0.35Ohms, La=1.5mH, Ke=0.5V/(rad/s), Kt=0.5Nm/A, and Jm=0.02kgm^2. The rated torque is 4Nm. This motor is supplies by a switch-mode dc-dc converter
A microscope has a 2.70-cm focal length eyepiece and a 0.630-cm objective lens. For a relaxed normal eye (assume a viewing distance of 25.0 cm), calculate the position of the object if the distance between the lenses is 13.5 cm
a zener diode exhibits a constant voltage of 5.6 volts for currents greater than five times the knee current.Izk is specified to be 1 ma. the zener is to be used in the design of a shunt regulator fed from a 15 volts supply .
A circuit contains a known resistance of 2.4 kO, and an unknown inductance. a) When a 12-V battery is connected, what is the current in the circuit a long time after the switch is closed
A load is delivering 1400 VARs of reactive power at a power factor of 0.96 leading. Determine the complex power S and the average power P for the load.
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