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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

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1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
7 years ago

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:

Potential of a Conductor

When a conductor is at equilibrium, theelectric field insideit is constrained to be zero.

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.

Thanks & Reggards

Rinkoo Gupta

AskIITians Faculty


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