Can the potential of a non-uniformly charged sphere be the same as that of a point charge? Explain.
Yes, a non-uniformly charged sphere's potential might be the same as a point charge.
At any distance from the charge, the electric potential owing to a point charge equals
Where k is a Coulomb's constant potential V at radius r .
At any point outside the volume of a sphere, the potential will be the same as the point charge because all the charges on the sphere can be assumed to be concentrated at one point.
Hence, outside the sphere, the electric field is the same as that of the point charge.
Give the reason why a dielectric material increases capacitance compared with what it would be with air between the plates of a capacitor. What is the independent reason that a dielectric material also allows a greater voltage to be applied to a capacitor? (The dielectric thus increases \(C\) and permits a greater \(V\).
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