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Given vectors T = 2ax - 6ay + 3az and S = ax + 2ay + az, find (a) the scalar projection of T on S, (b) the vector projection of S on T, (c) the smaller angle between T and S.
a. Neglecting resistance, determine the synchronous, transient and sub-transient reactances. b.If the machine is delivering 1.0 p.u. current at 0.8 power factor lagging at the rated terminal voltage when the short circuit is applied.
A random sample of 50 mathematics grades out of a total of 200 showed a mean of 75 and a standard deviation of 10. (a) What are the 95% confidence limits for estimates of the mean of the 200 grades
A pacemaker is programmed to deliver pulses a certain times every minute for a patient with heart block. A 0.5µF capacitor controls the pulse discharges through a 2M resistor. One pulse is delivered every time the fully charged capacitor loses 50%
What observations can be made about a physical system that has both pole and zero locations that are not real-valued or complex conjugate pairs.
Consider an electron in a cubic crystal of a semiconductor material. Such an electron is free to move throughout the cubic volume of the crystal, but cannot escape outside the cube. It is trapped in a three-dimensional infinite potential well.
Loop antennas are very common and are often used by amateur radio sites. In fact, the figure on the right is provided as an example what one may find when searching for loop antennas on the web.
For a short transmission line having a series impedance Z=R+jXL, write the relationships between the sending-end and the receiving-end voltages and currents. Assuming a line with R=0, XL=20 ohm feeding a 1MW load at 0.95 power factor
a DC series machine ( 9.25 kW, 185 V, 1500 RPM) has Ra+Rsr = .3 ohms. The data for the magnetization curve are: Ia 0 10 20 30 40 50 60 Ea 10 50 106 156 184 200 208 Determine the terminal voltage at Ia = 20 amps, 40 amps and 60 amps.
There is a 3 ohm resistor and j4 ohm inductor in series with each other. There is a 4 ohm resistor, a -j13 ohm capacitor, and a 10 ohm resistor in series with each other.These two series circuits are in parallell with each other.
an unknown sensor is investigated by connecting resistors across the output and measuring the current through them. When a resistance of 30 is connected the current through it is 0.5A. When the resistance is replaced by 20
A 20kW, 250V, self-excited dc shunt generator is driven at its rated speed of 1200rpm and it is delivering rated power at rated terminal voltage. Its armature-circuit resistance is 0.15-ohm, and the field current is 2 A.
Solve Using Gauss-Seidel Method (Perform Four Iterations) Using the Gauss-Seidel method and the initial guess X1(0)=1, solve the following equation (x_1)^2 - 6x_1 + 2 = 0
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