Two small insulating spheres with radius 3.50×10 2 m are separated by a large ce

Question

Two small insulating spheres with radius 3.50×102m are separated by a large center-to-center distance of 0.520 m . One sphere is negatively charged, with net charge -1.35 C , and the other sphere is positively charged, with net charge 3.10 C . The charge is uniformly distributed within the volume of each sphere.

Part A

What is the magnitude E of the electric field midway between the spheres?

Take the permittivity of free space to be 0 = 8.85×1012 C2/(Nm2) .

Part B

What is the direction of the electric field midway between the spheres?

Explanation / Answer

field due to +ve charge will be away from it.

and field due to -ve charge will be toward it.

so E1 and E2 both are in same direction.

E = E1 + E2 = k |q1| / r^2 + k |q2| / r^2

r = 0.520/2 = 0.260 m

E = (9 x 10^9)/(0.260^2) (1.35 x 10^-6 + 3.10 x 10^-6)

E = 5.92 x 10^5 N/C

(B) direction -> away from +ve charge and toward -ve charge

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