Datos
Diametro = 10 cm / 2 = 5 cm * 1 m / 100 cm = 0,05 m = 5 x [tex]10^{-2}m[/tex] = Radio
K = 2,5
D = 2 mm = [tex]2x10^{-3}m[/tex]
Area = ?
Va-Vb = 100 Voltios
Q = ?
C = ?
W = ?
[tex]Area= \pi *R^2 \\ \\ Area=3,14*(5x10^{-2}m)^2 \\ \\ Area=3,14*25x10^{-4}m^2 \\ \\ Area=7,85x10^{-3}m^2[/tex]
Capacidad
[tex]C= \frac{K*Constante\ permiabilidad*Area}{D} \\ \\ C= \frac{2,5*8,9x10^{-12} \frac{C^2}{Nm^2}*7,85x10^{-3}m^2 }{2x10^{-3}m} \\ \\ C= \frac{174,66x10^{-15} \frac{C^2}{N} }{2x10^{-3}m} \\ \\ C=87,33x10^{-12}Faradios \\ \\ C=8,733x10^{-11}Faradios[/tex]
Carga
[tex]Q=C*Va-Vb \\ \\ Q=8,733x10^{-11} \frac{C^2}{Nm} *100 \frac{Nm}{C} \\ \\ Q=8,733x10^{-9}Coulomb[/tex]
Energía
[tex]W=1/2*C*(Va-Vb)^2 \\ \\ W=1/2*8,733x10^{-11}Faradios*(100V)^2 \\ \\ W=4,37x10^{-11} \frac{C^2}{Nm} *10000 \frac{N^2m^2}{C^2} \\ \\ W=4,37x10^{-7}Joules[/tex]
[tex]Saludos\ desde\ Venezuela[/tex]
