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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.
An amplifier is to have an input of 100watts. Its effeciency is 75%, what is the maximum ambient temperature wherein this amplifier may be placed with a maximum junction temperature of 200degC and a junction to case thermal resistance.
Determine the conductivity of silicon at T = 300 K if it is doped with donor impurity atoms at a concentration of 1.25*1016 cm-3. Assume that the electron and hole mobilities are 1350 cm2 / V-s and 480 cm2 / V-s, respectively.
What would the effect of boundaries be on the diffusivity of a substance (e.g., if you have diffusion of a substance in a pipe, what would the effect of the pipe's walls be on the diffusivity
Radio Systems, In design of radio systems that incorporate wireless networks, considerations must be taken such as user access, transmission direction, switching and signal strength.
he circuit is excited by a full-wave, ac/dc SCR converter. The ac voltage (input to the converter) is 120 V (rms), and the circuit resistance is 5 Ohm. At a trggering angle of 30 degrees, the load current is continous . Calculate the following
What is the net number of electrons per second that pass through the cross-section of a wire carrying 5 A of dc current The current now is due to electrons, and the magnitude of the charge of each electron is 1.60×10?19 C.
aluminum has the FCC crystal structure. Its atomic weight is 26.98g/mole, and its density is 2.70g/cm3. Determine the atomic radius of a single aluminum atom.
Design a low pass active filter such that its roll off attenuates frequency components a 10kHz or more by more than 30 db. This means that the magnitude of the transfer function (in db) at frequency 10kHz should be -30db or less
An H-bridge allows a 4 A current pulse to the drive motor. What is the average current if the duty cycle is 75% and the pulse frequency is 2 kHz
Sketch the amplitude spectrum of a DTMF signal with finite duration. You should make this sketch by hand, using the Fourier transform expression obtained in part 1). What happens to the DTMF spectrum when T is "too small"
an adiabatic throttling process for R-134a takes saturated liquid at 800 kPa entering, and drops the pressure to 280 kPa (constant specific enthalpy). Determine the quality exiting and the specific entropy change for the throttling process.
Let the probability of a bit error be p, and the length of a data frame be N. Find the probability of 1, 2, 3, and 4 bit errors occurring in the frame. a) Tabulate the results for N = 1000, 10000, and 100000 bits, for p = 10-6, 10-8, and 10-14
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