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 (1 (1-√₁²+2²) Eo (1 - / 1 ) E1 Eo 1 part 2 of 2 Eo = (Q/A) 200 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 e being the 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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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 (1
。 (1-√R²+²)
(1-7)
E₁ ≈ Eo (1
R
part 2 of 2
Eo
=
(Q/A)
280
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 € = 3 with e being the
smallness parameter. In general the nth or-
der term takes the form Ce", where C is some
finite constant (e.g 0.1 <C<10).
For the normalized difference
Eexact-E1|
Eo
identify the correct choice among the follow-
ing
E1 - Eo
For the normalized difference
Eo
identify the correct choice among the follow-
ing
C
1.
2. €³
3.²
4. €
1. €
2. €³
3. €²
4.
4
€
Transcribed Image Text: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 (1 。 (1-√R²+²) (1-7) E₁ ≈ Eo (1 R part 2 of 2 Eo = (Q/A) 280 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 € = 3 with e being the smallness parameter. In general the nth or- der term takes the form Ce", where C is some finite constant (e.g 0.1 <C<10). For the normalized difference Eexact-E1| Eo identify the correct choice among the follow- ing E1 - Eo For the normalized difference Eo identify the correct choice among the follow- ing C 1. 2. €³ 3.² 4. € 1. € 2. €³ 3. €² 4. 4 €
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