Lösning 4.4:8
FörberedandeFysik
(Skillnad mellan versioner)
| Rad 1: | Rad 1: | ||
| - | <math>P = 800 W</math> <math>U = 115 V</math> <math>P = U\cdot I \Rightarrow 800 = 115\cdot I</math><br\> | + | <math>P = 800 \,\mathrm{W}</math>, <math>U = 115 \,\mathrm{V}</math>, <math>P = U\cdot I \, \Rightarrow \, 800 = 115\cdot I</math><br\> |
| - | <math>I=6,96 A</math> <math>\omega = 314 rad/s</math> | + | <math>I=6,96 \,\mathrm{A}</math>, <math>\omega = 314 \,\mathrm{rad/s}</math> |
| - | <math>230 = \sqrt{(115)^2 + (U_c)^2} \Rightarrow U_c = 199,2 V</math> <math>U_c = I\cdot 1/ \omega C</math><br\> | + | <math>230 = \sqrt{(115)^2 + (U_c)^2} \Rightarrow U_c = 199,2 \,\mathrm{V}</math>, <math>U_c = I\cdot 1/ \omega C</math><br\> |
| - | <math>C = 1,1 \cdot 10^{-4} F(110\mu F)</math><br\> | + | <math>C = 1,1 \cdot 10^{-4} \,\mathrm{F} \,(110 \,\mathrm{\mu F})</math><br\> |
[[Bild:losning_4_4_8.jpg]] | [[Bild:losning_4_4_8.jpg]] | ||
Nuvarande version
\displaystyle P = 800 \,\mathrm{W}, \displaystyle U = 115 \,\mathrm{V}, \displaystyle P = U\cdot I \, \Rightarrow \, 800 = 115\cdot I
\displaystyle I=6,96 \,\mathrm{A}, \displaystyle \omega = 314 \,\mathrm{rad/s}
\displaystyle 230 = \sqrt{(115)^2 + (U_c)^2} \Rightarrow U_c = 199,2 \,\mathrm{V}, \displaystyle U_c = I\cdot 1/ \omega C
\displaystyle C = 1,1 \cdot 10^{-4} \,\mathrm{F} \,(110 \,\mathrm{\mu F})
