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For the complex arithmetic: a) Ohm’s Law for complex impedance is V=IZ. If a cir

ID: 1835873 • Letter: F

Question

For the complex arithmetic:

a) Ohm’s Law for complex impedance is V=IZ. If a circuit element has voltage V=10V<30° across it and a current I=5A<45°, flowing through it, what is its impedance Z? Express your answer in both phasor (R<f) and Cartesian (a+bj) form.

b) We use the symbol Z* to represent the complex conjugate of the number Z. The complex conjugate of the complex number (a+bj) = (a-bj). It’s just the number with the same real part but the negative of the imaginary part. You can always compute it by flipping the sign of j everywhere. For Z=3+2j, compute ZZ*, Plot Z and Z*.

Explanation / Answer

a) V=IZ =>Z=V/I=10