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*with both having identical radii (R). These spheres are identical expect for these volume charge densities.*

**(-1p non-overlap density on the outside with -4p density overlapping internally)**I started with: E(sphere) = Q/4pi(Eo)R^2

**1)**Is E(total) as the sum of three vectors: E1, E2, E(overlap) and combine all three to calculate the net total (Etot)? OR: Is it just the two overlapping identical spheres minus (-) the overlapping common segment?

**2)**Is this the best formula for this scenario: Volume Density (ro: P) = Q/V(subscript little r)I=Q/(4/3)(pi)(r^2)?

Are there any "special" integration issues that must be evaluated first for that common overlapped segment that the two spheres share in common when solving for E(sphere)?

**3)**What are the trignomentric X, Y components of an abritary point charge Q that is placed along the edge of where these two overlapping spheres intersect with identical radius (r) at angle theta? The point Q is in between the two overlapping spheres at the 12 O-clock position in the respective X,Y plane Cartesian plane.

specifically, what is the easiest way to calculate strength of the Electric Field (E) at this common tangental point charge Q and its X,Y trigonmetric components (X hat, Y hat).

* assume 1st quadrant rules of TRIG are applied at this location for point charge: Q.

thank you for any advice...:-)