Must use Gauss' Law: A sphere of radius 2m is made of a non-conducting material that has a uniform volume charge density p = 2.655 x 10-10C/m^3. A spherical cavity of radius 1m is then carved out from the sphere. As measured from the center of the large sphere, the center of the spherical cavity is at the position I = cos30i+ sin30j. Find the electric field at a point P within the cavity. As measured from the center of the cavity, the point P is at the position F' = 0.5cos60i + 0.5sin60j. *Hint take magnitude of vector sum and and should be in nano coulombs.

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