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Find the Laplace transform of the following:
(i) f(t)= 45e^(-5(t-6))
(j) f(t)=2 sin?(t-6)
(k) f(t)="4.8" e^(-5t) cos?(400t -36o)
(l) f(t)=8 d2x/dt2 + 5 dx/dt where (dx(0))/dt = 8 and x(0) = -4
Consider a discrete-time linear time-invariant system with impulse response h[n]. If the input x[n] is a periodic sequence with period N (i.e., if x[n]=x[n+N]), show that the output y[n] is also periodic sequence with period N.
A 10m diameter cylindrical tank is emptied by a constant outflow of 1 m3 /min. A two position controller is used to open and close a fill valve with an open flow of 3 m3 /min. For level control the neutral zone is 1m and the setpoint is 10m.
What is the uncertainty in position of an electron of an atom if there is ± 2.0 x 10^7 m·sec-1 uncertainty in its velocity Use the reduced Planck's constant and electron mass = 9.109 x 10-31 kg.
The counter should increment on the rising edge of an input signal we'll call COUNT. Another input called CLEAR should have the effect of setting the counter to zero if CLEAR = 1 when COUNT is asserted.
Write a report on Future Generation Telecommunication Technology.
calculate the resistor's resistance. If the bandwidth were cut to 25 kHz, determine the expected output meter reading.
Assume that capacitor is completely discharged when t
Show that the power in a three-phase, three-wire system with balanced loads is constant at every instant. Deduce an expression for the power in terms of the line voltage, line current, and the power-factor.
Design a series controller (a PD, PI or PID) so that the following performance specifications are satisfied. Steady-state error due to a step input = 0
Determine the response of the system when aunit step is applied at input.
Description of Transformer, An 11 kV to 415 V transformer has a rating of 100 kVA. The winding resistance and leakage reactance when referred to the secondary are 0.0142 Ohm and 0.0569 Ohm respectively
AC Circit analysis and max power transfer, If the output impedance of a certain driving circuit is 50 Ohm - j10 Ohm, what value of load impedance will result in the maximum power to the load?
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