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4. A metallic sphere with radius 0.3 m, carries a net charge of - 0.3 mC. Assume

ID: 1529087 • Letter: 4

Question

4. A metallic sphere with radius 0.3 m, carries a net charge of - 0.3 mC. Assume the electric potential to be zero at infinity.
(i) Calculate the electric potential (use the correct sign!) at a point located 0.6 m from the sphere center.
(ii) Calculate the electric potential inside the sphere. (hint, it has the same values as on the sphere surface).
(iii) A (test) charge - 2 nC is initially at rest at 0.6 m from the sphere center. Calculate the kinetic energy of that charge when it goes to an infinite distance from the sphere center.

Explanation / Answer

step;1

Given that

radius of the sphere r=0.3 m

charge q=-0.3 mc

step;2

now we find the electric potential at distance 0.6 m

electric potential v1=9*10^9*-0.3*10^-3/0.6=-4.5*10^6 v

step;3

now we find the electric potential inside the sphere

electgric potentail V=9*10^9*-0.3*10^-3/0.3=-9*10^6 v

step;4

now we find the change in kinetic energy

the change in kinetic energy =qV=-2*10^-9*-4.5*10^6=9 mJ`

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