Kapacitor opgaver

Kondensatorforsøg

Kapacitans: $LaTex: \begin{eqnarray} A &=& 100\cdot 120 cm^2\\ d &=& 0,12 mm\\ \epsilon_0 &=& 8,85\cdot 10^{-12} \frac{C^2}{N\cdot m^2}\\ C &=& \frac{\epsilon_0 \cdot A}{d} = 88,5 nF\\ \end{eqnarray}$

Skitse af graf

Strømstyrken: $LaTex: \begin{eqnarray} R&=&50k\Omega\\ U(t)&=&63,8517*-257,12^x+0,0052\\ I(t)&=&frac{U(t)}{R} \end{eqnarray}$

Måling af voltmeters resistans

$LaTex: \begin{eqnarray} U_0 &=& 9V\\ U_v &=& 7,7V\\ U_r &=& U_0-U_v\\ R &=& 1,69M\Omega\\ I &=& \frac{U_r}{R} = 0,769\mu A\\ R_v &=& \frac{U_v}{I} = 10,013M\Omega \end{eqnarray}$