Two small insulating spheres with radius 5.00×102m are separated by a large cent

Question

Two small insulating spheres with radius 5.00×102m are separated by a large center-to-center distance of 0.475 m . One sphere is negatively charged, with net charge -1.15 C , and the other sphere is positively charged, with net charge 4.15 C . The charge is uniformly distributed within the volume of each sphere.

Part A

What is the magnitude Eof 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?

toward the positively charged sphere
toward the negatively charged sphere
upward perpendicular to the line connecting the centers of the spheres
downward perpendicular to the line connecting the centers of the spheres

Explanation / Answer

E = kQ/r^2

here = r = 0.475/2 = 0.2375 m

here direction of E in same by both charges

E = K(Q1+Q2) /r^2

Q1+Q2 = 5.30 uC = 5.30 x 10^-6 C

K = 9 x 10^9

E = 8.46 x 10^5 N/c

part b )

driection towards negative sphere

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