fr=4750 C=0,1 Jak obliczyć L z takiego wzoru: [latex]2 pi f _{r} L= frac{1}{2 pi f {r}C } [/latex]
fr=4750 C=0,1
Jak obliczyć L z takiego wzoru:
[latex]2 pi f _{r} L= frac{1}{2 pi f {r}C } [/latex]
[latex]2 pi f _{r} L= frac{1}{2 pi f_{r}C } \\ L= frac{1}{4 pi^2 f_{r}^2C }= frac{1}{4cdot 9,87cdot22562500cdot 0,1 } approx 1,12cdot 10^{-8} \\[/latex]
Dane: [latex]F_r =4750[/latex] [latex]C=0,1[/latex] Szukane : [latex]L=[/latex]? Wzór: [latex]2pi f_rL=frac{1}{2pi f_rC}[/latex] Przekształcenie wzoru: [latex]2pi f_rL=frac{1}{2pi f_rC}[/latex] [latex]/: 2pi f_r[/latex] [latex]L=frac{1}{2pi f_rC*(2pi f_r)}[/latex] [latex]L=frac{1}{4pi ^{2} f_r ^{2}C}[/latex] Obliczenia: [latex]L=frac{1}{4pi ^{2}f_r ^{2}C}=frac{1}{4*(3,14)^{2}*4750^{2}*0,1}=frac{1}{4*9,8596*22562500*0,1}= frac{1}{39,4384*2256250}=[/latex] [latex]= frac{1}{88982890}=1,1238*10^{-8} [/latex]