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The charge entering the positive terminal of an element is q(t) =-30e-4t mC. If the voltage across the element is120e-2t V, determine the energy delivered to the elementin the time interval 0 < t < 50 ms.
Suppose L=25mH, but the resistance value,R, is not specified. Find a condition on R so that the circuit is strictly BIBO unstable (i.e., not even marginally stable). Hint: you might not be able to purchase such a resistor at Radio Shack
Using coppers resistivity of 10.30 CM-olm/ft at +25 °C, find how long a 1 inch square bar of copper would need be to have a resistance of 1 at +20 °C
It operates at a power factor of 0.85 (lagging) at its rated conditions. Calculate the per-phase current that has to be carried by the cables to the power electronics converter and the step-up transformer located at the base of the tower.
A zero mean gaussian random vector X=(X1, X2)T has a covariance matrix given by K=[ 3 -1 -1 3 ] Find a transformation matrix A so that the vector Y=AX is a gaussian random vector with uncorrelated (and therefore independent) components of unity va..
A 25-kVA load with power factor 0.80 lagging has a group of resistive heating units added at unity power factor. How many kW do these units take, if the new overall power factor is 0.85 lagging
What is the minimum number of bits required to represent each of the following decimal numbers: 10, 1000, 100,000, and 1,000,000?
Suppose that the cost of electrical energy is $0.12 per kilowatt hour and that your electric bill for 30 days is $60 (power usage only, not including other charges or taxes) Assume that the power delivered is constant over the entire 30 days.
A sinusoidal signal with frequency known to be less than 1 kHz is sampled at 600 Hz. and appears as a 150 Hz signal. The sample rate is changed to 550 Hz, and the apparent frequency of the sampled signal shifts to 100 Hz.
Sometimes the partial fraction expansion is not needed in finding the inverse Z-transform- instead the properties of the transform can be used. Consider the function F(z) = z+ 1/z^2(z - 1) a. Determine whether F(z) is a proper rational function as ..
Find the Laplace transform of a rectangular voltage pulse that is 0 V until time 0 s, then jumps to 5 V and stays there until time 2 ms, then returns to 0 V and stays there after time 2 ms. Hint: express the pulse in terms of unit step functions.
A 50 kw, 120 - V shunt generator has Ra = 0.09 ohm, Rfw = 30 ohm and external field resistor Rfx = 15 ohm. The generator delivering the rated load at terminal voltage. a. find generated emf Ea
Design and realize a digital LP filter using the bi-linear transformation method to satisfy the following characteristics: a- monotonic stopband and passband. b- -3.01dB cutoff frequency of o.5pi rad. c- magnitude down at least 15dB at 0.75pi rad.
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