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RC CIRCUITS:
1) Hand calculate the expression for the voltage and current of the capacitor and plot these equations by using MATLAB.
2) Plot the capacitor voltage and current for R=100Ohm and C=1μF, R=1k and C=800mF and comment about the differences you see in the graphs.
3) Calculate the time constants of each circuit and point out this time constants at your voltage graphs.
4) Hand calculate the expression for the voltage and current of the resistor and plot these equations by using MATLAB.
5) Assume the output is taken from the capacitor in this RC system with R=100Ohm and C=1μF. Plot the step and impulse response of the system by using the LSIM (you can use TF function before LSIM to calculate your system coefficients) function of MATLAB.
6) Assume the output is taken from the capacitor in this RC system with R=100Ohm and C=1μF. This RC system is a first order low pass filter with a break frequency. Calculate the break frequency for this system.
7) Apply two ac signals (x1(t) and x2(t))to your system by using LSIM function of MATLAB. X1(t) is a sinusoidal signal with 500 Hz frequency and x2(t) is a sinusoidal signal with 100 Hz frequency. You will notice different effects of your RC system (low pass filter) to these signals. What is the reason for this difference.
An Ideal Low Pass Filter: The impulse response of an ideal low-pass filter is h(t) = sin(t)/t (or the sinc signal). (a) Given that the impulse response is the response of the system to an input x(t) = f(t)with zero initial conditions
A "Mealy" synchronous sequential circuit has one input X and one output Z. An output Z = 1 occurs every time the total number of 1's received is "divisible by 3" AND the total number of 0's received is an even number greater than zero.
Control Systems: Operation of a PID, Which one of the following statement regarding to operation of a PID is true?
Construct a 16-bit parallel adder with four MSI circuits, each containing a4-bit parallel adder. Use a block diagram with nine inputs and fiveoutputs for each 4-bit adder. Show how the carries are connected between the MSI circuits.
A square-law modulator for generating an AM wave relies on the useof a nonlinear device. The given figure depicts the simplest form of such amodulator. Ignoring the higher order terms, the input-output characteristics of thediode-load resistor
A.) Draw the schematic using AND, OR, and NOT gatesB.) Using K-maps, put the function into its minimized SOP form and draw the resulting schematic C.) Using K-maps, put the function into its minimized POS form and draw the resulting schematic
A signal has a fundamental frequency of 1000 Hz. What is its period? Assume the signal has a peak amplitude of 1 Volt and that the instantaneous power is equal to the square of the voltage, then compute the average power of the fundamental frequen..
Assume the z0 is in the far field and derive an expression for the strength to return as a function of angle. Make approximations where appropriate and do not forget the sidelobes.
A circuit contains a known resistance of 2.4 kO, and an unknown inductance. a) When a 12-V battery is connected, what is the current in the circuit a long time after the switch is closed
A tank circuit coil is operating at a resonance frequency fres = 20 MHz; The circuit must operate with a bandwidth of 200 kHz. What is quality factor, Q, for the coil
The doping level of N-type semiconductor is Nd= 5^19 cm^-3. Determine the room tempature position of the Fermi level ( with respect to the bottom of the comduction band) if the semiconductor is A). Si (Nc=2.86^19cm^-3)
The equation y[n] - p y[n-1] = x[n] can be used to describe the value y[n] of a new investment by setting p = 1 + r/100 where r is the interest rate per period, expressed in percent.
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