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In many books of general physics, they prove the equations for capacitance of a cap of parallel plates as if the electric field where constant everywhere but what would happen if we take the real electric field that is non uniform at the cornersedge of the parallel plates, would the capacitance be greater of smaller?

In many books of general physics, they prove the equations for capacitance of a cap of parallel plates as if the electric field where constant everywhere but what would happen if we take the real electric field that is non uniform at the corners of the parallel plates, would the capacitance be greater of smaller?

In many books of general physics, they prove the equations for capacitance of a cap of parallel plates as if the electric field where constant everywhere but what would happen if we take the real electric field that is non uniform at the edge of the parallel plates, would the capacitance be greater of smaller?

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Capacitance in a parallel plate cap with the real electric field

In many books of general physics, they prove the equations for capacitance of a cap of parallel plates as if the electric field where constant everywhere but what would happen if we take the real electric field that is non uniform at the corners of the parallel plates, would the capacitance be greater of smaller?