Question

Gauss' Law states that the electric flux through a closed"Gaussian" surface equals the net charge inside divided by theconstant
where C2/(N m2).
(a) Suppose that a charge -3.0 nC is located at the origin, andthat the Gaussian surface is a sphere of radius 15.0 cm centered onthe origin. What is the electric flux through the sphere?
N m2/C
(b) The Gaussian sphere is shifted so that its center is at x = 5.0cm. What is the flux now? N m2/C

(c) The Gaussian sphere is shifted so that its center is at x =35.0 cm. What is the flux now?
N m2/C
(d) A new Gaussian sphere is used of twice the original radiuscentered on the origin. What is the flux now?
N m2/C
(e) A new Gaussian surface is a tetrahedron centered on the originwith sides of length 15 cm. What is the flux now?
N m2/C

(f) A second charge +4.5 nC is added located at x = 17.0 cm. AGaussian sphere of radius 15.0 cm is centered on the origin. Whatis the flux through the sphere?
N m2/C

(g) The sphere in part (f) is now centered at x = 5.0 cm. What isthe flux through the sphere?
N m2/C