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Magnitude and phase angle of the resistor voltage

  1. May 8, 2012 #1
    the question is to find the magnitude and phase angle of the resistor voltage in the circuit below :

    http://img513.imageshack.us/img513/1035/ee204.jpg [Broken]

    i want you guy's to check my solution please .

    thanks .
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. May 9, 2012 #2

    gneill

    User Avatar

    Staff: Mentor

    You've arrived at correct results, although your magnitude could perhaps be expressed a tad more elegantly. If you begin with your expression for M and realize that resistance R is a positive constant, then the magnitude of the numerator and denominator can be taken separately:

    ##|\hat{M}| = \frac{|R|}{|R + j\omega L |} ##

    and then

    ##|\hat{M}| = \frac{R}{\sqrt{R^2 + \omega^2 L^2}} ##
     
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