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1. With the help of Fourier transform, obtain the convolution
y(t) = x(t) * h(t)
Given:
x(t) = δ(t) - e-t u(t)
h(t) = e-2t u(t)
2. If the frequency response of a system is given as
H(j?) = ((jw))/((1+(jw) )(2+(jw)))
Obtain the time domain relationship between y(t) and x(t)
3. Determine the Laplace Transform of the following:
a. 2e-t+ t
b. 2Sin3t + cos3t
c. 4e2t + 3 cos 4t
4. What is the inverse Laplace transform of:
((s2 - 15s + 41))/((s+2) (s-3)2)
5. What is the inverse Fourier Transform of the following:
5/(6 + 5jw - w2)
A PWM is used in 8-bit mode to produce a signal with a 1 msec period and 60% duty cycle. Determine the value required for any pre-scaling, and the values for the period, and duty cycle registers. The E-clock is 24 MHz.
By direct integration find the Laplace transforms and the region of convergence of the following functions
A switch turns the voltage source on and off. Evaluate the voltages across each of the capacitors and determine whether the energy changes due to the switch being turned on or off.
Design a sequential circuit with input x and output Z. The circuit outputs 1 whenever the input "1100" arrives. For example, the following sequence Z is generated as a result of the following input x
a)For what value of capacitance will these condition exist ,assuming that impressed voltage ,frequency,resistance and inductance remain unchanged. b)Calculate the voltage drop across the capacitance under this condition.
Our third word problem case study described a logical "function unit" that computed the eight combinational functions of the inputs A and B: constant 1, A OR B, A NAND B, A XOR B, A XNOR B, A AND B, A NOR B, and constant 0.
A 20-V-rms 60 Hz ac source isin series with an ideal diode and a 100 ohm resistance. Determine the peak current and peak inverse voltage(PIV) for the diode.
A torque of 10 N.m is applied to a uniform disk shaped flywheel. The flywheel has a mass of 20kg and a radius of 0.5m. At t=0, the flywheel is at rest. How much energy is stored in the flywheel at the end of 20 sec
The address lines (A0-A7) are checked with a logic probe and all areindicating pulse activity, except for A3 which shows a constantHIGH, and A7 which shows a constant LOW; the select lines, S0 andS1 are checked and S0 shows pulse activity, while S..
The power measured by a Prony brake attached to an engine flywheel is 3.8 brake horsepower. The indicated horsepower, as measured by means of indicator cards is 4.1. What is the efficiency of the engine
An asynchronous cardiac pacemaker operates at a rate of 70 pulses/min. These pulses are of 2ms duration and have an amplitude of 5V when driving a 500ohm load. A) What is the total energy supplied to this load over a 10 year period
A resistive temperature sensor is modeled as R(T) = 100 +0.0039(T-25)+1.0x10^-5(T-25)^2 where T is in degrees C. Calculate the tempco and sensitivity at T = 50 degrees C.
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