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derivation of electric and potential in conductiing and non conducting spheres derivation of electric and potential in conductiing and non conducting spheres
Potential: Charged Conducting Sphere
The use ofGauss' lawto examine theelectric fieldof a charged sphere shows that the electric field environment outside the sphere is identical to that of apoint charge. Therefore thepotentialis the same as that of a point charge:
The electric field inside a conducting sphere is zero, so the potential remains constant at the value it reaches at the surface:
Since the electric field is equal to therate of change of potential, this implies that the voltage inside a conductor at equilibrium is constrained to be constant at the value it reaches at the surface of the conductor. A good example is thecharged conducting sphere, but the principle applies to all conductors at equilibrium.
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