Consider a spherical Gaussian surface and three charges: q1 = 2.03 C, q2 = -3.28 C, and

Question:

Consider a spherical Gaussian surface and three charges: q1 = 2.03 µC, q2 = -3.28 µC, and q3 = 4.89 µC. Find the electric flux through the Gaussian surface if it completely encloses
(a) Only charges q1 and q2,
(b) Only charges q2 and q3,
(c) All three charges.
(d) Suppose a fourth charge, Q, is added to the situation described in part (c). Find the sign and magnitude of Q required to give zero electric flux through the surface.