Connected conductors with cavities

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SUMMARY

When two conductors with cavities are connected by a wire, the electric field outside the conductors becomes zero, and the net charge on the exterior of both conductors is also zero. Inside the cavities, the electric field is not zero due to the presence of charges +q and -q. This scenario illustrates the principles of electrostatics, confirming that the electric field must be zero over the conductors while allowing for non-zero fields within the cavities.

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There are two conductors with cavities, in one cavity is +q and in the other cavity is -q. If these two conductors are connected by a connecting wire, what would happen?

I know the electric field must be zero over the conductors. But would it be correct to say that there is now zero net charge on the outside of both the conductors and that the electric field everywhere is zero except inside the cavity?
 

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This is a trivial question, no?
 

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