ELEG 3704 Lecture Notes - Lecture 3: Phasor, Waves, Rl Circuit

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Where x is the real part and y is the imaginary part. Any complex number can be expressed in rectangular form as z=x+jy j= A complex number can also be expressed in polar form as. Where |z| is the magnitude of z and is its phase angle. Is a shorthand notation that represents comparison of relative position in time/space from. The identity leads us to several other relations. The polar notation is often more useful since it allows for direct comparison of magnitudes of the signals from |z|, and direct. Using euler"s identity we can go from polar to rectangular. The complex conjugate of z is denoted with an asterisk or star superscript. It is obtained by switching the signs on the j (imaginary part) wherever it appears. First find the magnitude and angle of 4-j3. Convert the following complex rectangular functions into their polar form. A series rl circuit is connected to a voltage source given by (v).

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