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Consider the 1D system whose input-output equation is given by g(x) = f(x)*f(x), where * denotes convolution.
a) Write an integral expression that gives g(x) as a function of f(x). Hint: Convolution definition
b) Determine whether the system is linear? Is it shift-invariant?
calculate the amout of mmf generated by a coil of wire having 1300 turns and carrying milliamperes of current?
A transmission line has the following per-unit-length parameters: L = 0.5 H/m, C = 200 pF/m, R = 4.0 /m, and G = 0.02 S/m. Calculate the propagation constant and characteristic impedance of this line at 800 MHz. If the line is 30 cm long
Use the Z-transform of u[n] and properties of the Z-transform to find X(z). Verify that the expressions obtained above for X(z) are identical.
An ore car of mass 35000 kg starts from rest and rolls downhill on tracks from a mine. At the end of the tracks, 26 m lower vertically, is a horizontally situated spring with constant 3 × 105 N/m.
An LED is rated at VF=1.6V to 2.0V at IF=20mA. What value of series resistance is needed to limit the LED current to 20mA when this LED is connected to a 32 v peak source (that is, a source having a peak voltage of 32 v)
A plane circular disk of radius 0.25m rotates at a speed of 200 rad/s about an axis through the center of the disk perpendicular to the plane of the disk. There is a uniform magnetic flux B = 1 Tesla parallel to the axis of rotation.
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
Determine the maximum power that a 430 km, high-voltage 3-phase transmission line can transmit if the system voltage is 550kV and the impedance of the line is 0.5 ohm/km. Determine illuminance at a distance of 12 ft from source.
Determine the peak-to-peak current ripple in the output inductor for a forward converter and determine the output voltage ripple of the converter . We know the following parameters: duty cycle d, input voltage Vin, turn ratio: N1/N2
A 150 KVAR capacitor is connected across the line in Problem 1. (a) Sketch and label the power triangle for the capacitor. (b) Sketch and label the power triangle for the combined loads (capacitor and motor).
assuming k>0 what is steady state the response of the above system due to an input of the form , x(t) = 2sigma(t)+u(t). where sigma(t) denotes unit impulse function and u(t) denotes unit step function
1. Compute the probability of having the sum of 10 by throwing (a) two dice, (b) three dice. 2. What is the probability of three of a kind for a poker hand with (a) a card deck of 52 cards, (b) a card deck of 32 cards
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