Useful Constant elementary charge: e = 1.6 times 10^-19 C Coulomb constant: k_e

Question

Useful Constant elementary charge: e = 1.6 times 10^-19 C Coulomb constant: k_e = 9 times 10^9 N middot m^2/C^2 A spherically symmetric charge distribution. A 2.0-nC point charge is embedded at the center of a nonconducting sphere (radius = 2.0 cm) which has a charge Q distributed uniformly throughout its volume. If the net electric field is zero at 1.0 cm from the center of the sphere, what is the magnitude of the charge Q? (A) -2 nC (B) -4 nC (C) -8 nC (D) -16 nC This is NOT a multiple-choice problem! A spherically symmetric non-uniform charge distribution. A solid insulating sphere of radius R has a nonuniform charge density that varies with r according to the expression rho = Ar^2, where A is a positive constant and r

Explanation / Answer

Answer:-

Use the below formula to work electric field,

E = k*Q/r2

First calcualte the electric field at the surface of the sphere

E = 8.99x109 *2x10-9 / (0.001)2

E = 1.798 x 108 N/C

now we have to calculate the charge at E =0

so Q =-2 nC.

The charge will be -2 nC.

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