An isolated conductor of arbitrary shape has a net charge of+7.7 x 10 - 6 C. Ins

Question

An isolated conductor of arbitrary shape has a net charge of+7.7 x 10- 6 C. Inside the conductor is a cavity withinwhich is a point charge q = +3.9 x 10-6 C. InCoulombs, what is the charge (a) on the cavitywall and (b) on the outer surface of theconductor?
Any help would be much appreciated! Thanks An isolated conductor of arbitrary shape has a net charge of+7.7 x 10- 6 C. Inside the conductor is a cavity withinwhich is a point charge q = +3.9 x 10-6 C. InCoulombs, what is the charge (a) on the cavitywall and (b) on the outer surface of theconductor?
Any help would be much appreciated! Thanks

Explanation / Answer

(a) Electric field inside a conductor equals zero. So, if wehave Gaussian surface surrounding the cavity region within theconductor, the total charge enclosed must be zero.
So the charge on the cavity wall = - 7.70×10-6C.
(b) The charge on the outer surface = 7.70×10-6C + 3.90×10-6C                                                       = 1.6 x 10-5 C

                                                      = 1.6 x 10-5 C

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