A hollow metal sphere of inner radius R_1 = 20 cm and outer radius R_2 = 50 cm h

Question

A hollow metal sphere of inner radius R_1 = 20 cm and outer radius R_2 = 50 cm has a charge of +2.0 muC. 71) What is the electric potential at a point 60 cm from the center of the sphere? 72) What is the maximum electric potential due to the sphere ? 73) What is the electric potential at a point 10 cm from the center of the sphere? 74) What is the electric potential at a point 30 cm from the center of the sphere? 75) Graph the electric potential V vs. radial distance r. 76) What would be the potential energy of an excess electron (g = -1.60 times 10^-19 C) on the surface the sphere? 77) What would be the potential energy of an alpha particle (q = +3.20 times 10^-19 C) locatede 60 cm from the center of the sphere?

Explanation / Answer

71)
r = 60 cm = 0.60 m
V = K*Q/r
= (9*10^9)*(2*10^-6)/0.60
=3.00*10^4 V

72)
Maximum voltage will appear on the surface of sphere
r = 50 cm = 0.50 m
V = K*Q/r
= (9*10^9)*(2*10^-6)/0.50
=3.60*10^4 V

73)
Potential inside sphere will be same as that on the surface
Answer: 3.60*10^4 V

74)
Potential inside sphere will be same as that on the surface
Answer: 3.60*10^4 V

I am allowed to answer only 4 parts at a time

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