# Using a small positive test charge, you measure the electric field E at a point outside a sphere of radius R.

Using a small positive test charge, you measure the electric field E at a point outside a sphere of radius R. For which of the following charge distributions would you measure a field different from that of a point charge +Q located at the center of the sphere? You must choose all correct answers to receive full credit

a.Charge +Q is distributed uniformly over the sphere’s surface.

b.Charge +Q is distributed uniformly over the northern hemisphere.

c.The sphere is filled non-uniformly with positive charge of density ρ(r) = Qr2/πR5.

d.The sphere is filled non-uniformly with positive charge of density ρ(r) = Qr/πR4.

e.Charge +Q is distributed uniformly over the sphere’s interior.

f.The sphere is filled uniformly with charge +2Q from its center out to radius r = R/2, and with charge –Q in the region R/2 < r < R.

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