A total electric charge of 3.5nC is distributed uniformly over the surface of a metal sphere with a radius of 24cm.

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A total electric charge of 3.5nC is distributed uniformly over the surface of a metal sphere with a radius of 24cm.

A total electric charge of 3.5nC is distributed uniformly over the surface of a metal sphere with a radius of 24cm. If the potential is zero at a point at infinity, find the value of the parental at the distances 48cm, 24cm, 12cm.

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Answer 1

Answer #1

1]

Given:-

q=3.5nC

R=0.24m

when r= 0.48 m [ r> R]

V= 9* 10⁹*3.5*10^-9/.48= 65.63V

when r= 0.24 m [ r= R]

V= 9* 10⁹*3.5*10^-9/.24= 131.25V

when r= 0.12 m [ r< R]

V= 9* 10⁹*3.5*10^-9[1/0.24 +1/0.24³[0.24²-0.12²/2]= 31.5[ 4.17+1.563]= 180.57 V

2]

For the surface of sphere ,V = kq/R [ where R is the radius of the sphere ]

work done, w= qv= kq²/R

work done per unit charge by the electric force in moving a unit of charge from infinity to the surface of the sphere is kq²/R.

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Answer 2

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A total electric charge of 3.5nC is distributed uniformly over the surface of a metal sphere with a radius of 24cm.

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A total electric charge of 3.5nC is distributed uniformly over the surface of a metal sphere with a radius of 24cm.

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A total electric charge of 3.5nC is distributed uniformly over the surface of a metal sphere with a radius of 24cm.