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- Homework Statement
- A positive point charge of value ##q=+2\, \mu \textrm{C}## is located at coordinate point ##(0,0,5)\, \textrm{cm}##, above an infinite homogeneously charged plane located at ##z=0##. If the flux through a sphere of radius ##R=10\, \textrm{cm}## centered at the origin of coordinates is ##1,08\cdot 10^5\, \textrm{Nm}^2/\textrm{C}##, calculate the value of the surface charge density of the plane.

- Relevant Equations
- Gauss's Law

$$\phi_E=\dfrac{Q_{\textrm{enclosed}}}{\varepsilon_0}\Rightarrow Q_{\textrm{enclosed}}=9,6\cdot 10^{-7}\, \textrm{C}$$

$$Q_{\textrm{enclosed}}=\sigma S=\sigma \pi R^2\Rightarrow \sigma =\dfrac{Q_{\textrm{enclosed}}}{\pi (0,1^2)}=3,04\cdot 10^{-5}\, \textrm{C}/\textrm{m}^2$$

I have a lot of problems with the flux exercises. I have a hard time seeing how they act when I have more than one element in the system as in this case.

$$Q_{\textrm{enclosed}}=\sigma S=\sigma \pi R^2\Rightarrow \sigma =\dfrac{Q_{\textrm{enclosed}}}{\pi (0,1^2)}=3,04\cdot 10^{-5}\, \textrm{C}/\textrm{m}^2$$

I have a lot of problems with the flux exercises. I have a hard time seeing how they act when I have more than one element in the system as in this case.

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