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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 and (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.
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