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A thin, uniformly charged spherical shell has a potential of 727 V on its surface. Outside...

A thin, uniformly charged spherical shell has a potential of 727 V on its surface. Outside the sphere, at a radial distance of 20.0 cm from this surface, the potential is 403 V.
(1) Calculate the radius of the sphere.

(2) Determine the total charge on the sphere

(3) What is the electric potential inside the sphere at a radius of 3.0 cm

(4) Calculate the magnitude of the electric field at the surface of the sphere.

(5) If an electron starts from rest at a distance of 20.0 cm from the surface of the sphere, calculate the electron's speed when it reaches the sphere's surface.

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