9. The sphere and ellipsoid in Figure Q24.9 surround equal charges. Four student

Question

9. The sphere and ellipsoid in Figure Q24.9 surround equal charges. Four students are discussing the situation. Student 1: The fluxes through A and B are equal because the average radius is the same. Student 2: I agree that the fluxes are equal, but that's because they enclose equal charges. tudent 3: The electric field is not perpendicular to the surface for B, and that makes the flux through B less than the flux through A. Student 4: I don't think that Gauss's law even applies to a situation like B, so we cant compare the fluxes through A and B. Which of these students! if any, do you agree with? Explain. Fig. Q24.9 2r

Explanation / Answer

Student 2 is correct. Gauss law is independent of size, shape and symmetry of the charge enclosing surface and is also independent of the position of charge inside the surface. It just depends on the amount of charge enclosed by the surface. Hence the net flux is same in the both the cases.

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