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a) Draw a sketch of the spectrum ofx(t) = sin3(400πt)Label the frequencies and complex amplitudes of each component.
(b) Determine the minimum sampling rate that can be used to sample x(t) without aliasing for any its components.
A ball is shot into the air at 30 degress above the horizontal. It's initial Velocity is 5m/s and lands at the same height that it is launched from. How far does it travel horizontally
(1) What would an amplifier with a gain of less than 1 be used for (2) (a) Do you think that the inverting amplifier is better than the non-inverting amplifier (b) Is there an advantage of using one versus the other (c) Does it matter
An ND:YAG laser in the lab emits light at 1064 nm. The laser is light is directed into a slab of silicon, which has an index of refraction n = 4. a. What is the relative permittivity of Si at this wavelength (Hint: Si is non-magnetic.)
an electric motor operates at 220V rms ,60 Hz, draws 20A rms, and has a power factor of 0.75 lagging. a) what is average power absorbed by the motor b) what value capacitor should be connected in parallel with the motor to give a power factor of 1
Assume that the channels between the transmit antenna and the receive antennas are statistically independent Rayleigh fading channels and the MRC combination is used at the receiver. Given that the system BER is 10^-2 when the mean SNR is 3dB.
Concider an ac circuit source with an rms amplitude Irms connected to a parallel RLC circuit with resistance R, inductance L, and capacitance C. Derive an expression for the time-average power dissipated by the circuit
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..
A shunt regulator utilizing a zener diode is biased on through a 100 resistor. Determine the change in the regulated output voltage for the two situations below: a) VI changes +2.0 V, ILoad constant b) ILoad changes +100 mA, VI constan..
The highest frequency contained in a certain analog signal is 4 kHz. Determine the sampling rate if it is chosen to be 50% greater than the theoretical minimum.
A three-phase steam-turbine synchronous generator is connected to an infinite bus. The generator excitation current is IF=1000 A at the time of synchronization with the bus. The generator has a synchronous reactance of Xs =1.5 per unit.
a). Write the mathematical expression for a waveform that alternates sinusoidally between between -5 mA and 0 mA with a frequency of 1kHz.b). Repeat,but for a waveform alternating sinusoidally between -10 V and -15 V with a period of 1 microseconds.
Find the nonzero value of ω for which the expression for Z(ω) given is purely real. Give your answer as a function of R, L, and C.
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