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x(t) = cos(100πt) - 5sin(600πt) + 3cos(200πt)
(a) Determine the fundamental frequency of signal x(t)
(b) Determine the Nyquist sampling rate such that no aliasing occurs in the sampled signal.
(c) Assuming the sampling rate is 600 Hz, obtain the discrete time signal x[n] after the sampling.
(d) The sampled signal x[n] obtained above is processed by the ideal D-to-C converters with the sampling rate (600 Hz). Obtain the representation of the continuous signal.
A conducting filament containing a small 400 ohm resistor is formed into a square loop on the x-y plane as explained in the previous problem. Find I at t = 2*10^-4 sec if (a) \(B = 3cos(12000\pi t)a_z T\)
A magnetic material fills the half-space z 0) is free space. The per-meability of free space is mu_0 and the permeability of the magnetic material is 5 mu_0. The magnetic flux density in the magnetic material is B2= 10 ax+ 15 ay-20 az
An amplifier with 40 dB of small-signal open-circuit voltagegain, an input resistance of 1M-ohm ,and an output resistance10-ohm drives a load of 100-ohm .What voltage and power gains(expressed in dB) would you expect with the load connected
Draw a state diagram for an FSM with an input "GCNT" and the outputs "X,Y,Z". The XYZ outputs generate a sequence called a Gray Code in which exactly one of the three outputs changes from 0 to 1 or from 1 to 0.
how the amplifiers should be connected. To proceed, evaluate the two possible connections between source S and load L, namely, SABL and SBAL. Find the voltage gain for each both as a ratio and in decibels. Which amplifier arrangement is best
Draw energy band diagrams, for k lying between 0 and pi/a (take a=5Ã), for a material whose valence band follows the equation. and calculate the effective masses for conduction and valence bands.
1.5V battery. Design a voltage divider to provide a voltage that is approximately 1/3 of the battery voltage. Use resistances in the kilo ohms range. Redesign your divider so that the resistors are in Mega ohms range.
An AC signal has a peak value of 100 V and a frequency of 60 Hz. If the voltage crosses zero in a rising direction at t=0 seconds, what is the instantaneous voltage at t = 0.004167
Find the capacitive susceptance per km of a single-phase line operating at 60Hz, using both the capacitance formula and the Tables. The conductor is Partridge, and spacing is 20ft between centres.
If a 250 us period clock signal must be transmitted with a 10 kHz data signal on the same link, then what is the minimum bandwidth necessary to support both signals.
Design a parallel resonant circuit so that a variable capacitor can adjust the resonant frequency over the AM broadcast band, 535 to 1605 kHz, with Q
The op-amp circuit measures the changes of temperature in a system. The output voltage is given by v0(t) = -R(t)vi(t). Suppose that the temperature in the system changes cyclically after t = 0, so that R(t) = [1 +0.5 cos(20πt)] u(t) and let the in..
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