Two small insulating spheres with radius 9.00×10 2 m are separated by a large ce

Question

Two small insulating spheres with radius 9.00×102m are separated by a large center-to-center distance of 0.500 m . One sphere is negatively charged, with net charge -2 C , and the other sphere is positively charged, with net charge 3 C . The charge is uniformly distributed within the volume of each sphere.

What is the magnitude E of the electric field midway between the spheres? permittivity of free space as 0=8.85×1012 C2/(Nm2)

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

a. toward the positively charged sphere

b. upward perpendiculat to the line connecting the centers of the spheres

c. downward perpendicular to the line connecting the centers of the spheres

d. toward the negatively charged sphere

Explanation / Answer

q1 = -2*10^-6 C
r1 =0.5/2 = 0.25 m

q2 = 3*10^-6 C
r2 =0.5/2 = 0.25 m

E = K*[q1/r1^2 + q2/r2^2]
= (9*10^9)* [(-2*10^-6) / 0.25^2 + (3*10^-6)/0.25^2]
= (9*10^9)* [ -3.2*10^-5 + 4.8*10^-5]
= 144000 N/C

Answer: 144000 N/C

direction:
d. toward the negatively charged sphere

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