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origamipro

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## Homework Statement

A solid non-conducting sphere of radius R = 1.12m.

The sphere posses a total charge Qtot spread uniformally throughout its volume.

a) derive equations for electric field for

1) 0<r<R

2) r>R

result in terms of r R and Q

b) Derive an equation that gives the work needed for you to bring a point charge "q" from infinitely far away to inside the sphere at r = R/2

Answer is W = 11/8 (kQ/R) q

## Homework Equations

for 0<r<R

E1 = KQR/r^3

for r>R

E2 = KQ/R^2

## The Attempt at a Solution

q∫KQR/r^3 + q∫KQ/R^2