A charged particle is held at the center of two concentric conducting spherical

Question

A charged particle is held at the center of two concentric conducting spherical shells. Figure (a) shows a cross section. Figure (b) gives the net flux ? through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by ?s = 4.4

A charged particle is held at the center of two concentric conducting spherical shells. Figure (a) shows a cross section. Figure (b) gives the net flux ? through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by ?s = 4.4 times 105 Nm2/C. What is the net charge (in Coulombs) of shell B?

Explanation / Answer

from gauss laws

flux = charge enclosed / epsilon

we can see flux enclosing shell A = 4/5 phi

and flux enclosing shell B = -2/5 phi

therefore the difference in flux is caused by charge on shell B

change in flux = -6/5 phi = charge on B / epsilon

charge on B = -4.672 x 10^-6 C

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