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The flux densities of the magnetic fields created in the air gap by each of the three stator currents of a three-phase 2-pole ac machine are given respectively for phases a, b, and c by the equations below, where alpaha is the angular position in the air gap (alpha = 0 corresponds to the phase a axis).
B a = B M cos(omega t) cos(alpha);
B b = B M cos [omega t - 2 pi/3) cos (alpha - 2 pi/d);
B c = B M cos (omega t + 2 pi/3) cos (alpha + 2 pi/3).
Each equation above describes a field that is distributed sinusoidally and whose amplitude varies sinusoidally with time (a pulsating field). Prove for the resultant magnetic flux density in the air gap (a) at any given t, the flux density is distributed sinusoidally with respect to alpha; and (b) the center of the flux rotates around the air gap at an angular velocity equal omega. That is, prove that B(t, alpha) = B a + B b, + B a = 2/3 BM cos(omega t - alpha).
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Polyethylene with ?_r = 2.25 is used as the insulating material in a lossless coaxial line with a characteristic impedance of 50 Ω. The radius of the inner conductor is 1.2 mm.
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a) Express the s-domain impedance of this series combination as a rational function, b) Give the numerical value of the poles and zeros of the impedance and verify your calculation by matlab.
moore sequential circuit has one input and one output, that creates a pulse when ever its input signal goes from 1 to 0 after this pulse a new pulse will not be given unless the input signal is again returned to 1 and then tranistion back to 0.
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