Net charge of a spherical capacitor

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SUMMARY

The net charge of a spherical capacitor consisting of two conducting shells is determined by the sum of the charges on both shells. In this scenario, the inner shell has a negative charge of -1 Coulomb, while the outer shell has a positive charge of +1 Coulomb. Therefore, the net charge of the entire assembly is zero, as the charges cancel each other out. This conclusion is based on the principle of charge conservation in electrostatics.

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Suppose we have a hollow spherical shell made of a conducting metal, inside a slightly larger hollow spherical shell made of the same conducting metal. The shells are separated by a layer of insulation, so that the assembly is basically a spherical, hollow capacitor. If I cause the inner shell to have a negative charge of, say, 1 Coulomb, and the outer shell to have a positive charge of 1 Coulomb, what is the net charge on the assembly? Is it zero or is it equal to the charge on the outer shell?
 
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The net charge is the sum of all charges of the setup.
 

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