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Find the transfer function and a single first-order differential equation relating the output y(t) to the input u(t) for a system described by the first-order linear state and output equations:
dx/dt = ax(t) + bu(t) (i)
y(t) = cx(t) + du(t) (ii)
(a) show that the energy in the field of an electric dipole of moment p outside a sphere of radius R is \(p^{2}/(12\pi\epsilonR^{3})\) (b) calculate the potential energies of an electric dipole (c) calculate the potential energies of a linear electri..
Important information about Noise, Explain the role of the central limit theorem in the behavior of Additive White Gaussian Noise (AWGN).
Finding appropriate source for the electrical load, Have four circuits. One takes 9Vdc, two 5Vdc, and last one takes 12Vdc. Have variable transformer for source. How do I calculate or choose the voltage needed to run all four circuits with out blo..
A balanceed three-phase load of 15 MA with a lagging load factor of 0.85 is supplied by a 115KV subtransmission line. if the line impedance is 50+j100Ohm per phase, determine the following: (a) The line current of the load.
(a) optimally combine the present radar system with a new radar system that has a measurement variance of 6; or, (b) optimally combine the present radar system with two new radar systems that both have the same perormance as the original system.
Air Enters a cooling section at 97Kpa, 35C and 30 percent relative humidity at a rate of 6m^3/min, where it is cooled until the moisture in the air starts condensing. Determine the temperature of the air at the exit and the rate of heat transfer i..
If a system has a unit-impulse-response of h(t) = 100t * e^(-20t) u(t) , where u(t) is the standard unit step function, then determine the transfer function H(f) for the system. What type of filter is this system (high-pass, low-pass, band-pass, ..
Problem: Consider the signal x(t) = 1.5cos(0.15π(t + 1.4)) + 3 cos(0.25π(t - 3)). (a) Sketch the two-sided spectrum for x(t).
Design a one-op-amp high-pass filter with a gain of 20 and a cornerfrequency of 0.05Hz. Calculate its response to a step input of1mV.
if 4 cells each rated for 2v, 0.15A connected as batterries in three different ways. find voltage and current rating of each type. (Hint - all in parallel, all in series, two groups of series connected in parallel)
An electron is shot into one end of the solenoid. As it enters the uniform magnetic field within the solenoid, its speed is 800 m/s and its velocity vector makes an angle of 30 degrees with the central axes of the solenoid.
In a bank, among the accounts opened before 2005, 40% are saving accounts, 20% are chequing accounts and rest are mutual fund accounts. These numbers for accounts opened on or after 2005 are: 30% saving accounts,
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