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Consider the first-order linear differential equation
y(t) + 5 (dy(t) / dt) = x(t)
Compute the zero-input response (general solution of the homogeneous equation) to find the system-specific part of the response (output) etc.
Compute the unit-step response, that is, the response when x1(t) = u(t), y(t)t=0 = 0. Call this response y1(t).
determine the transfer function of a 4th order lowpass butterworth filter with a 3-dB cutoff frequency of 3.4 kHz and passband gain=1. Design the circuit using MFB topology. Design two sections with an order of 2.
Polyethylene with ?_r = 2.25 is used as the insulating material in a lossless coaxial line with a characteristic impedance of 50 Ω. The radius of the inner conductor is 1.2 mm.
(a) What is the condition for matrix A to have inverse Discuss this in terms of rank, determinant, linear dependence of rows and columns of matrix A, singular or non-singular. (b) Show that if A has inverse then AT also has inverse
Calculate the inductive reactance per meter of a single-phase, 50-Hz, two-wire transmission line. Assume each conductor's radius is 6cm and the distance between the two conductors is 3m.
The amplifier is connected to the handset antenna which has an impedance of 35 + j10 at one unspecified operating frequency. Find the inductive reactance and capacitive reactance needed to match the transmitter output to the antenna
Consider points P(2,4,3) and Q(1,-5,2) in three dimensional space: Find the position of vectors r1 and r2 for P and Q in terms of unit vectors i,j,k Determine graphically and analytically the resultant of these position vectors Hint: resultant vector..
Find the transformation ratio of a transformer having 350 turns on the secondary winding and 7000 turns on the primary. What voltage must be applied to the primary of the transformer to develop an open-circuit secondary voltage
Bit 4 of Port B is connected to a switch that normally outputs a zero. Monitor this switch to detect a change from zero to one. Immediately when it becomes one, call a function to toggle Bit 5 of Port B, which is connected to an LED
a. Design a 3 bit combinational circuit 2's complimenter. (the circuit generates the 2's compliment of the input 3-bit binary number). [Show all work leading to the circuit implementation]
If voltage and resistance are measured as a means of indirectly measuring power, show again that if the relative uncertainties in the direct measurements are +2%, that the relative uncertainty in the indirectly measured power will be +6%.
Suppose that data are stored on a 1.4-Mbyte floppy diskettes that weight 30 g each. Suppose that an airliner carries 10,000 kg of those floppies at a speed of 1000 km/h over a distance of 5000 km. What is the data transmission rate in bits per sec..
A 1.2 MW wind turbine has a rotor diameter of 64 m. the turbine operates in an area with an average wind velocity of 7.5 m/s and the air density of 1.18 kg/m^3. the turbine power coefficient including the unit efficiency is 42.8 percent.
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