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The figure shows a spherical conducting shell, inner radius a, and outer radius

ID: 1260713 • Letter: T

Question

The figure shows a spherical conducting shell, inner radius a, and outer radius b, with a point charge + Q inside. In case (1) the point charge is at the center of the shell, and in case (2) it is off-center. Use Gauss

The figure shows a spherical conducting shell, inner radius a, and outer radius b, with a point charge + Q inside. In case (1) the point charge is at the center of the shell, and in case (2) it is off-center. Use Gauss'??s law to predict the charge on the inner surface and on the outer surface of the shell, in each case. In each case, describe the electric field in the three regions r

Explanation / Answer

case 1 :

when chgarge is at centre,

E = KQa/b^3   at a point inside

where K is 9e9

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at a point b on the outer surface

E = KQ/b^2

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as E depends on net charge inside,

E in case 2 also = KQa/b^3

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at a point b on the outer surface

E = KQ/b^2

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