Charge is distibuted uniformly over each of two spherical volumes with radius R

Question

Charge is distibuted uniformly over each of two spherical volumes with radius R. One sphere of charge is centered at the origin and the other at x=2R (Figure 1) . Let left-hand sphere have positive charge Q and let the right-hand sphere have negative charge Q.

A:

Find the magnitude of the net electric field due to these two distributions of charge at the point x=0 on the x-axis.

Express your answer in terms of the variables Q, R, and appropriate constants.

B:

Part B

Find the direction of the net electric field at the point x=0 on the x-axis.

Part C

Find the magnitude of the net electric field at the point x=R/2 on the x-axis.

Express your answer in terms of the variables Q, R, and appropriate constants.

Part D

Find the direction of the net electric field at the point x=R/2 on the x-axis.

Part E

Find the magnitude of the net electric field at the point x=R on the x-axis.

Express your answer in terms of the variables Q, R, and appropriate constants.

Part F

Find the direction of the net electric field at the point x=R on the x-axis.

Part G

Find the magnitude of the net electric field at the point x=3R on the x-axis.

Express your answer in terms of the variables Q, R, and appropriate constants.

Part H

Find the direction of the net electric field at the point x=3R on the x-axis.

Explanation / Answer

a)

the electric field due to first sphere, E1=0

the electric field due to second sphere, E2=k*q/(2R)^2

E2=K*q/4R^2

net electric field E=E1+E2

=0+k*q/(4R^2)

=k*q/(4R^2)

b)

the direction is along -ve x-axis

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