A thin, uniformly charged spherical shell has a potential of 837 V on its surfac

Question

A thin, uniformly charged spherical shell has a potential of 837 V on its surface. Outside the sphere, at a radial distance of 19.0 cm from this surface, the potential is 489 V.
Calculate the radius of the sphere.

A thin, uniformly charged spherical shell has a potential of 837 V on its surface. Outside the sphere, at a radial distance of 19.0 cm from this surface, the potential is 489 V. Calculate the radius of the sphere 26.70 cm You are correct. Your receipt no. is 155-3944 Previous Tries Determine the total charge on the sphere. Submit Answer Unable to interpret units. Computer reads units as "n/c".Tries 0/8 Previous Tries What is the electric potential inside the sphere at a radius of 1.0 cm? 8.37x102 v You are correct. Your receipt no. is 155-3196 Previous Tries Calculate the magnitude of the electric field at the surface of the sphere Submit Answer Incompatible units. No conversion found between "c" and the required units. Tries 1/8 Previous Tries If an electron starts from rest at a distance of 19.0 cm from the surface of the sphere, calculate the electron's speed when it reaches the sphere's surface. Submit Answer Tries 0/8

Explanation / Answer

The potential on the surface of a spherical shell is

V = kQ/R ; where k is a constant, Q is the total charge and R is the radius os the spherical shell.

Hence,

V1  = kQ/R

and V2 = kQ/(R+19)

hence,

V1 / V2  = (R+19)/ R

putting the values of V1 and V2 and solving for R, we get

R= 26.7 cm.

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