A nonconducting wall carries a uniform charge density of 10.81 µC/cm2 . What is the electric field 4.8 cm in front of the wall? The permittivity of a vacuum is 8.8542 × 10−12 C 2 /N · m2 . Answer in units of N/C.

Respuesta :

To solve this problem it is necessary to apply the concepts related to electric field due to non conducting wall. This is defined as

[tex]E = \frac{\sigma}{2\epsilon_0}[/tex]

We have that

[tex]\sigma[/tex] is the charge per unit area of the wall and [tex]\epsilon_0[/tex] the vacuum permittivity

First we need to convert to SI Units,

[tex]\sigma= 10.81 \mu C/cm^2 (\frac{100^2cm^2}{1m^2})(\frac{10^{-6} C}{1 \mu C})[/tex]

[tex]\sigma = 0.1081C/m^3[/tex]

Now replacing we have,

[tex]E = \frac{0.1081C/m^3}{2(8.85*10^{-12}C^2/Nm^2)}[/tex]

[tex]E = 6.1073*10^9N/C[/tex]

Therefore the electric field is [tex]6.1073*10^9N/C[/tex]

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