This problem is also giving me a lots and lots of trouble, and I don't even know where to begin.(adsbygoogle = window.adsbygoogle || []).push({});

A point charge q is imbedded in a solid material of dielectric constant K.

A) Use Gauss's law as stated in equation \oint{K \vec{E} \cdot \vec{A}} \;=\; \frac{Q_{free}}{\epsilon_{0}} to find the magnitude of the electric field due to the point charge q at a distance d from the charge.

B) Use your result from part (a) and Gauss's law in its original form as given in equation \oint{\vec{E} \cdot \vec{d A}}\; =\; \frac{Q_{encl}}{\epsilon_{0}} to determine the total charge (free and bound) within a sphere of radius d centered on the point charge q.

C) Find the total bound charge within the sphere described in part (b).

I obviously need A before doing B and C, but I don't even know how to get it. I didn't fully understand Gauss law in the first place, so now I am even more confused. Any help appreciated, thanks.

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# Homework Help: Gauss' Law in Dielectrics

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