Physics 712 problem set 1
Problem 5
Hear are the shielded and unshielded potentials, scaled to phi sub zero.
x unshielde shielded ratio (%)
0.1 1.000E+01 9.048E+00 90.48
0.5 2.000E+00 1.213E+00 60.65
1 1.000E+00 3.679E-01 36.79
1.5 6.667E-01 1.488E-01 22.31
2 5.000E-01 6.767E-02 13.53
2.5 4.000E-01 3.283E-02 8.21
3 3.333E-01 1.660E-02 4.98
3.5 2.857E-01 8.628E-03 3.02
4 2.500E-01 4.579E-03 1.83
4.5 2.222E-01 2.469E-03 1.11
5 2.000E-01 1.348E-03 0.67
5.5 1.818E-01 7.430E-04 0.41
6 1.667E-01 4.131E-04 0.25
Notice how quickly the ratio gets less than a few percent.