Each plate of an air-filled parallel-plate air capacitor has an area of 0.0040 m2, and the separation of the plates is 0.080 mm. An electric field of 5.3 × 106 V/m is present between the plates. What is the energy density between the plates? (ε0 = 8.85 × 10-12 C2/N · m2)

Respuesta :

Answer:

124.3 J/m^3

Explanation:

The energy density between the plates of a parallel-plate capacitor is given by

[tex]u=\frac{1}{2}\epsilon_0 E^2[/tex]

where

ε0 = 8.85 × 10-12 C2/N · m2 is the vacuum permittivity

E is the electric field strength

In this problem,

E = 5.3 × 106 V/m

So the energy density is

[tex]u=\frac{1}{2}(8.85\cdot 10^{-12}F/m) (5.3\cdot 10^6 V/m)^2=124.3 J/m^3[/tex]