Simultaneous sinusoidal equations can be solved as simultaneous algebraic equations once the sinusoids are converted to...

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Simultaneous sinusoidal equations can be solved as simultaneous algebraic equations once the sinusoids are converted to phasors. Consider the following two equations with unknowns A1, 1, A2, and 2: cos(7t) = Aj cos(7t +e1) + A2 cos(7t +42) %3D sin(7t) = 2A1 cos(7t +y1) + A2 cos (7t +2) (a) Determine the phasor representation for each term in the above equations. (b) Let z1 = Ael1 and z2 = A2e1, and then rewrite the two phasor equations in part (a) as 1 = z1 + 22 -j = 2z1 + z2 (c) Use algebra to solve for z1 and z2, which will be complex numbers. (d) Finally, express the answers z1 and z2 in polar form in order to determine the values for A1, 1, A2, and 2. Simultaneous sinusoidal equations can be solved as simultaneous algebraic equations once the sinusoids are converted to phasors. Consider the following two equations with unknowns A1, 1, A2, and 2: cos(7t) = Aj cos(7t +e1) + A2 cos(7t +42) %3D sin(7t) = 2A1 cos(7t +y1) + A2 cos (7t +2) (a) Determine the phasor representation for each term in the above equations. (b) Let z1 = Ael1 and z2 = A2e1, and then rewrite the two phasor equations in part (a) as 1 = z1 + 22 -j = 2z1 + z2 (c) Use algebra to solve for z1 and z2, which will be complex numbers. (d) Finally, express the answers z1 and z2 in polar form in order to determine the values for A1, 1, A2, and 2.

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P220 Given coS 7Ct Ai Cos 7H Az Cos H2 Sinl7t dA Cos7t Az Cos 7t2 het t... View the full answer