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## Homework Statement

**1.)**Two large metal plates of area [tex]1.0m^2[/tex] face each other. They are 5 cm apart and have equal but opposite charges on their inner surfaces. If the magnitude E of the electric field between the plates is 55N/C, what is the magnitude of the charge on each plate?Neglect edge effects

**2.)**A non conducting sphere has a uniform volume charge density [tex]\rho[/tex]. Let r be the vector from the center of the sphere to a general point P within the sphere. Show that the electric field at P is given by [tex]E=\rho r/3\epsilon_0[/tex]

## Homework Equations

[tex]E=\sigma/\epsilon_0[/tex]

## The Attempt at a Solution

**1.)**[tex]E=\sigma/\epsilon_0[/tex]

[tex]E\epsilon_0=\sigma=(55N/c)(8.85x10^{-12}F/m)=4.868x10^{-10}C/m^2[/tex]

[tex]E=\sigma/2\epsilon_0=\frac{4.868x10^{-10}C/m^2}{2(8.85x10^{-12}F/m} = 27.5N/C[/tex]

Im guessing that I did this wrong, it seemed too easy.

**2.)**I dont know how to start this one.

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