The cavity is inside the sphere, the sphere is charged, and the electric field is to be found inside the cavity.
A Gaussian surface completely inside the cavity encloses no charge.
Charge in a gaussian surface,
Area of a sphere, A:
An insulating sphere of radius a, centered at the origin, has a uniform volume charge density ρ.
A spherical cavity is excised from the inside of the sphere. The cavity has radius a/4 and is centered at position h, where |h| < 3a/4 , so that the entire cavity is contained within the larger sphere. Find the electric field inside the cavity.
Express your answer as a vector in terms of any or all of ρ, ε0, r, and h.
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