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An important tool in the development of the strain tensor was the decomposition (16.79) of a matrix M into its anti-symmetric and symmetric parts. Prove that this decomposition is unique. [Hint: Show that if M = MA + Ms where MA and Ms are respectively anti-symmetric and symmetric, then MA =(M-) and Ms =(M+).]
The armeture leakage reactance is 0.10 per unit on the generator rating as abase. Find(a) the unsaturated value of the synchronous reactance inohms per phase and per unit, (b) the short-circuit ratio, and (c)the saturated reactance in per unit and..
The load on a 460-V, 60-Hz, Y-connected, balance three-phase source consists of three equal Y-connected impedances of 100+j100 ohms, and three equal Delta-connected impedances of 300-j300 ohms. Compute the line current, power, and power factor for..
A DC machine has the following parameters: Ra =1Ω, La = 4 mH , kPWM = 100 . (a) Design the current loop with a bandwidth of 1000 rad/s and phase margin of 900. (b)Given a step current command, ia*(t) = 5u(t)A, calculate the actual current,i(t)
An auto transformer is used to reduce the starting current and to give full load torque at starting .Neglecting no load current , determine : (a) Voltage applied at starting , (b) Full load line current (c) Current drawn by the motor at starting..
The phase angle of an RLC series circuit with a capacitive reactance of 40 ohms, a resistor of 100 ohms and a certain inductor at 1000 Hz is 40.0 degrees. What is the value of the inductance in this circuit?
The signal noise ratio in an FM system is 4:1 The maximum allowed deviation is 4 KHz. How much frequency deviation is introduced by the phase shift caused by the noise when the modulating frequency is 650 Hz
The donor concentration in a silicon sample at 300K is ND = 1.2 x 1015 cm-3. 1 x 1016 cm-3 acceptor atoms are added to form a compensated p-type semiconductor so that the Fermi level is 0.26 eV above the valence band edge.
A 240kW 500V 1750 r/min separately excited dc generator has an overall efiiciency of 94%. The shunt field resistance is 60 ohms and the rated current is 5A. The I^2 R loss in the armature is 0.023 pu.
How to find impendence in a series parallel circuit without using imaginary numbers. The circuit in question has a voltage source of 25 volts frequency is 100 Khz then the R1 resistor 220 ohms in series with an inductor
Find the voltage drop Vab where a is the point (1,0,0) and b is (2,pi/2,1). In the the description of these points, the cylindrical coordinate notation (p,phi,z) is used, where dimensions are in [m] and angles are in radians. Voltage drop is path ..
A circuit consists of a voltage source (Vin = 10 V at 75o phase shift, ω = 10 rad/s) in series with a parallel RL combination (R = 10 Ω, L = 0.5 H), which is in series with a capacitor (C=0.05 F). What is the value of Vo(t) across the capacitor
Bob enters a pizza shop and notices there are three different sizes of pizzas available. Sizes are given as the diameter of the pizza in inches. The cost of a pizza is based on the size. Bob would like to know which size of pizza has the lowest co..
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