ECE 202 Lesson 1

ECE 202 Lesson 1 - ECE 202 Circuit Theory 2 Lesson 1...

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Unformatted text preview: ECE 202 Circuit Theory 2 Lesson 1 Euler's Formula Expressions for cos( t) and sin( t) Euler's Formula e jt = cos t + j sin t cos t = Re jt e jt sin t = Im e 2 Another Euler's Formula e jt = cos t + j sin t e - jt = cos ( -t ) + j sin ( -t ) sin ( -t ) = - sin t e - jt cos ( -t ) = cos t = cos t - j sin t 3 Expression for cos( t) e jt = cos t + j sin t e - jt = cos t - j sin t e jt + e - jt = 2 cos t jt + e - jt cos t = e 1 2 4 Expression for sin( t) e jt = cos t + j sin t e - jt = cos t - j sin t e jt - e - jt = 2 j sin t sin t = 1 2j jt - e - jt e 5 ...
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This note was uploaded on 09/09/2008 for the course ECE 202 taught by Professor Deanschmidlin during the Fall '08 term at UMass Dartmouth.

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