Two 3.00 cm × 3.00 cm plates that form a parallel-plate capacitor are charged to ± 0.708 nC . Part A What is the electric field strength inside the capacitor if the spacing between the plates is 1.30 mm ?

Respuesta :

Answer:

[tex]8.89\cdot 10^4 V/m[/tex]

Explanation:

The electric field strength between the plates of a parallel plate capacitor is given by

[tex]E=\frac{\sigma}{\epsilon_0}[/tex]

where

[tex]\sigma[/tex] is the surface charge density

[tex]\epsilon_0[/tex] is the vacuum permittivity

Here we have

[tex]A=3.00 \cdot 3.00 = 9.00 cm^2 = 9.0\cdot 10^{-4} m^2[/tex] is the area of the plates

[tex]Q=0.708 nC = 0.708 \cdot 10^{-9} C[/tex] is the charge on each plate

So the surface charge density is

[tex]\sigma=\frac{Q}{A}=\frac{0.708\cdot 10^{-9}}{9.0\cdot 10^{-4} m^2}=7.87\cdot 10^{-7} C/m^2[/tex]

And now we can find the electric field strength

[tex]E=\frac{\sigma}{\epsilon_0}=\frac{7.87\cdot 10^{-7}}{8.85\cdot 10^{-12}}=8.89\cdot 10^4 V/m[/tex]