Question

A charge distribution that is spherically symmetric but not uniform radially produces an electric field of...

A charge distribution that is spherically symmetric but not uniform radially produces an electric field of magnitude E = 5r4, directed radially outward from the center of the sphere. Here r is the radial distance from that center.

What is the volume charge density ρ of the charge distribution at a distance of r = 2m?

Express your answer in units of nano coulombs/m3 i.e. 10-9 C/m3

Specify your answer up to two decimal places

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Homework Answers

Answer #1

Given data:

K = 5

r = 2m

we have

E(r) = qenc/(4or2)

E(r) = {1/(4or2)}*{(r)4r2dr}

solve for (r)

(r) = (o/r)*(d/dr)*r2*E(r)

(r) = (o/r)*(d*Kr6/dr)

(r) = 6*K*o*r3

(r) = 6*5*8.854 x 10-12 *8

(r) = 2.125 x 10-9 C/m3

(r) = 2.12 nC/m3

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