P-2.19 Sinusoidal equations can be solved as algebraic equations if the sinusoids are converted to phasors. For example, given the equation 9 cos(2t +) = 3A cos(2(t – 1) +4) +4 cos(2t) solve for A and o. Here are the steps: (a) Determine the phasor representation for each term in the above equation. (b) Let z = Aelº, and rewrite the phasor equation in part (a) as 9e10.5 (3e-i²)z +4 (c) Use algebra to solve for z, which will be complex. (d) Finally, express the answer z in polar form in order to determine the values for A and o.
P-2.19 Sinusoidal equations can be solved as algebraic equations if the sinusoids are converted to phasors. For example, given the equation 9 cos(2t +) = 3A cos(2(t – 1) +4) +4 cos(2t) solve for A and o. Here are the steps: (a) Determine the phasor representation for each term in the above equation. (b) Let z = Aelº, and rewrite the phasor equation in part (a) as 9e10.5 (3e-i²)z +4 (c) Use algebra to solve for z, which will be complex. (d) Finally, express the answer z in polar form in order to determine the values for A and o.
Related questions
Question
Transcribed Image Text:P-2.19 Sinusoidal equations can be solved as algebraic equations if the sinusoids are
converted to phasors. For example, given the equation
9 cos(2t +) = 3A cos(2(t – 1) + 4) + 4 cos(2t)
solve for A and ø. Here are the steps:
(a) Determine the phasor representation for each term in the above equation.
(b) Let z = Aelº, and rewrite the phasor equation in part (a) as
9ej0.5 = (3e-j2)z +4
(c) Use algebra to solve for z, which will be complex.
(d) Finally, express the answer z in polar form in order to determine the values for A
and 4.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
