1. Dec 16, 2014 #1

   yuenkf

   

   for transformer , Zeq multiply with I .. let say the Zeq is ( 0.140 + j 0.532 ) , while I is ( 8.7 /_ -36.87 ' ) A ...... -36.87 is degree.. how to multiply these two things up? please help me . i m in urgent.. thanks.. please...

    

   yuenkf, Dec 16, 2014
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3. Dec 16, 2014 #2

   SteamKing

   

   Staff Emeritus

   Science Advisor

   Homework Helper

   Convert Zeq to polar form first.
   
   Since Z = x + j y, the modulus² = x² + y² and the phase angle is the arctan (y / x)
   
   For Zeq = 0.140 + j 0.532,
   
   the modulus² = 0.140² + 0.532² = 0.3026; modulus = 0.550
   the phase angle is then arctan (0.532 / 0.140) =arctan (3.80) = 75.26° (1st. quadrant), thus
   
   Zeq = 0.140 + j 0.532 = 0.550 ∠ 75.26°
   
   I = 8.7 ∠ -36.87°
   
   Zeq * I = 0.550 * 8.7 ∠ 75.26° - 36.87° = 4.785 ∠ 38.39° = 3.75 + j 2.97

    

   SteamKing, Dec 16, 2014
4. Dec 17, 2014 #3

   yuenkf

   

   thanks much.. appreciate it...

    

   yuenkf, Dec 17, 2014

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