Consider a spherical Gaussian surface and three charges: q = 1.68C , q = -2.38C

Question

Consider a spherical Gaussian surface and three charges: q = 1.68C , q = -2.38C , and q = 3.58C . Find the electric flux through the Gaussian surface if it completely encloses (a) only charges q2 and q3 , (b) only charges q1 and q2, and (c) all three charges.

Ive figured out all the answers to the above question but part (d) has me puzzled...It states:

thanks so much for your help! :)

Consider a spherical Gaussian surface and three charges: q = 1.68muC , q = -2.38muC , and q = 3.58muC . Find the electric flux through the Gaussian surface if it completely encloses (a) only charges q2 and q3 , (b) only charges q1 and q2, and (c) all three charges. Ive figured out all the answers to the above question but part (d) has me puzzled...It states: Suppose a fourth charge, Q required to give zero electric flux through the surface. thanks so much for your help! :) Q, is added to the situation described in part C. Find the sign and magnitude of

Explanation / Answer

(d)for the zero electric flux net charge within the enclosed surface must be 0. because

electric flux =total charge enclosed / 0

if the total charge enclosed is 0 then electric flux is zero.

so for the condition of part C, if an extra charge Q is added ,the for 0 flux

Q + q1 + q2 + q3 =0

or, Q +1.68 c -2.38 c +3.58 c =0

Q = -2.88 c

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