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| Keywords: Faradays ice pail experiment.svg Diagram of electric fields in Faraday's ice pail experiment A charged object small sphere is placed inside a conductive metal shell large sphere The electrostatic field of the interior charge causes the mobile charges in the metal to separate inducing a positive charge on the inner surface of the shell and a negative charge on the outer surface It is found experimentally that the induced charge on the shell is exactly the same magnitude as the charge on the object This can be proved by applying Gauss' Law to the Gaussian surface S contained inside the metal of the shell Since S is inside the volume of metal it is in a region of zero electric field So the electric field flux through S is zero Therefore the net charge inside S must be zero <math>\iint\limits_S \mathbf E \cdot d\mathbf A \frac 1 \epsilon_0 Q + Q_ induced 0 \ </math> Since the only charges inside S are the charge Q on the object and the induced charge Q<sub>induced</sub> on the inside surface of the shell these two charges must be equal and opposite own 2010-12-26 Chetvorno I Chris Burks Chetvorno the author of this work release it into the public domain for any use whatever Field diagrams Gauss' Law | ||||
