A capacitor consists of two parallel plates, each with an area of 16.0 cm2 , separated by a distance of 0.150 cm . The material that fills the volume between the plates has a dielectric constant of 6.00. The plates of the capacitor are connected to a 400 V battery.

Respuesta :

Answer:

Explanation:

Given

area of capacitor [tex]A=16\ cm^2[/tex]

Distance between Capacitor [tex]d=0.15\ cm[/tex]

dielectric constant [tex]k=6[/tex]

Voltage applied [tex]V=400\ V[/tex]

Capacitance C is given by [tex]C=k\frac{\epsilon A}{d}[/tex]

[tex]C=6\times \frac{8.85\times 10^{-12}\times 16\times 10^{-4}}{0.15\times 10^{-2}}[/tex]

[tex]C=56.64\times 10^{-12}\ F[/tex]

Charge on Plates

[tex]Q=C\times V[/tex]

[tex]Q=56.64\times 10^{-12}\times 400[/tex]

[tex]Q=22,656\times 10^{-12}[/tex]

[tex]Q=22.656\ nC[/tex]