part 1 of 2 Consider the field due to a uniformly charged disk of radius R. and charge Q. Along the symmetry axis at distance z from the cen- ter, the field has been written in following forms. where Eexact = Eo E1 Eo part 2 of 2 2 R² +2² (1-1/2) (Q/A) 200 Eo To compare the accuracy of different ap- proximations it is convenient to work with the normalized difference to be specified below. The nth order smallness is charac- terized by e" and € = with being the R 2 smallness parameter. In general the nth or- der term takes the form Ce", where C is some finite constant (e.g 0.1
part 1 of 2 Consider the field due to a uniformly charged disk of radius R. and charge Q. Along the symmetry axis at distance z from the cen- ter, the field has been written in following forms. where Eexact = Eo E1 Eo part 2 of 2 2 R² +2² (1-1/2) (Q/A) 200 Eo To compare the accuracy of different ap- proximations it is convenient to work with the normalized difference to be specified below. The nth order smallness is charac- terized by e" and € = with being the R 2 smallness parameter. In general the nth or- der term takes the form Ce", where C is some finite constant (e.g 0.1
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Step 1: To know the given
All the fields are given in part 1 introduction.
Now, the normalized difference
here is the smallness parameter. Then the second is also very small and negligible.
Therefore, the normalized difference is
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