A hollow metal sphere of inner radius R1=20cm and the other radius R2=50cm has a

Question

A hollow metal sphere of inner radius R1=20cm and the other radius R2=50cm has a charge +2.0uC
1.what would be the potential energy of an excess electron(-1.6e-19 C) om the surface of the sphere? 2. what wouls be the potential energy of an alpha particle(+3.20e-19 C) located 60cm from the center of the sphere? A hollow metal sphere of inner radius R1=20cm and the other radius R2=50cm has a charge +2.0uC
1.what would be the potential energy of an excess electron(-1.6e-19 C) om the surface of the sphere? 2. what wouls be the potential energy of an alpha particle(+3.20e-19 C) located 60cm from the center of the sphere?
1.what would be the potential energy of an excess electron(-1.6e-19 C) om the surface of the sphere? 2. what wouls be the potential energy of an alpha particle(+3.20e-19 C) located 60cm from the center of the sphere?

Explanation / Answer

1. Potential due to sphere at the distance r ( r > = R)

V = k Q / r = (9 x 10^9 x 2 x 10^-6) / (0.50) = 36000 Volt

PE = qV = -1.6 x 10^-19 x 36000 = - 36000 eV Or - 5.76 x 10^-15 J

2. V = (9 x 10^9 x 2 x 10^-6 ) / (0.60) =30000 Volt

PE =qV = 3.20 x 10^-19 x 30000 = 60000 eV Or 9.6 x 10^-15 J.

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