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Lösning 4.4:10

FörberedandeFysik

(Skillnad mellan versioner)
Hoppa till: navigering, sök
Nuvarande version (22 mars 2018 kl. 12.58) (redigera) (ogör)
 
(2 mellanliggande versioner visas inte.)
Rad 1: Rad 1:
-
<math>U = 230 V</math> <math>P = 500 W</math> <math>R = 17,1 \Omega</math><br\>
+
<math>U = 230 \,\mathrm{V}</math>, <math>P = 500 \,\mathrm{W}</math>, <math>R = 17,1 \,\Omega</math><br\>
-
<math>P = UI\cdot \cos\phi</math> <math>\cos\phi = U_R/U_Z = RI /ZI = R/Z </math><br\>
+
<math>P = UI\cdot \cos\phi</math>, <math>\cos\phi = U_R/U_Z = RI /ZI = R/Z </math><br\>
-
<math>\omega = 314 rad/s</math><br\>
+
<math>\omega = 314 \,\mathrm{rad/s}</math><br\>
-
<math>U = I\cdot Z</math> <math>P=UI\cdot R/Z = U^2R/Z^2</math><br\>
+
<math>U = I\cdot Z</math>, <math>P=UI\cdot R/Z = U^2R/Z^2</math><br\>
<math>500 = 230^2 \cdot 17,1/Z^2</math><br\>
<math>500 = 230^2 \cdot 17,1/Z^2</math><br\>
-
Z = 42,5 cos¶=17;1=42;5=0;40Z=pR2+!2L242;5=p17;12+3142L2
+
<math>Z = 42,5 \,\Omega</math>, <math>\cos\phi = 17,1/42,5 = 0,40</math><br\>
-
L=0;123H
+
 
 +
<math>Z = \sqrt{R^2 + \omega ^2 L^2}</math>
 +
 
 +
<math>42,5 = \sqrt{17,1^2 + 314^2L^2}</math><br\>
 +
 +
<math>L = 0,123 \,\mathrm{H}</math>

Nuvarande version

U=230V, P=500W, R=171

P=UIcos, cos=URUZ=RIZI=RZ

=314rads

U=IZ, P=UIRZ=U2RZ2

500=2302171Z2

Z=425, cos=171425=040

Z=R2+2L2 

425=1712+3142L2 

L=0123H

Den här artikeln är hämtad från http://wiki.math.se/wikis/forberedandefysik/index.php/L%C3%B6sning_4.4:10