application of series in physics
TRANSCRIPT
-
8/3/2019 Application of Series in Physics
1/12
%$%%#!$$
!!%$"&$$#$
!$$
0.9:707 $7:/,,39$
77,30/-
0#,93,8,7 :-,#
!8.8/:.,943$
&%%#%#&%
$0-0,8,709&3;0789
-
8/3/2019 Application of Series in Physics
2/12
!!%$"&$$#$
!$$
$"&$$#$
$"&$
$06:03.0890806:03.0419097-089,914720/1443907:0847347289,9
,;0-003809
,250
$#$
%0807088,8:22,94389,9020393/.,90/-9097-0841,806:03.0
,250
3/84180708042097.8070843;07039,3/;07039807089073,93
80708!4078070809.
!!%$"&$$#$!$$ 390710703.0
3/41390710703.0
,2:2390710703.0
32:2390710703.0
90/110703.04197,;00//89,3.0-0900394,;09,92009
$973,8$4:3/$4:7.0
-
8/3/2019 Application of Series in Physics
3/12
706:03.94300307,90//0503/84390,;05,9907314720/439089738
8.,3-080033905.9:70,-4;090,;003941901:3/,2039,9430
90 9430 41 90 1789 ,3/ 9430 :5 94 94 .4380.:9;0 ,3/ 3
0307,909700,;00398.,3-00570880/-9006:,943
3
%:8901706:03.419094308574/:.0/897388,9819006:,943
13
3
070
133994301706:03.
;;04.941,;05745,,9433908973,3/
039418973
%0;,:0303:2-0789,905708890-,8.94309094304190
178980.43/4;079430,3/8443
190,-4;006:,9438:-899:90/84-9,30/
133 :7907.425,784341901706:03.410,.9430942009
1411
5037,3!50
-
8/3/2019 Application of Series in Physics
4/12
742 90 5.9:70 90 ,;0039 4190 1:3/,2039,9430 90 9430 4190
1789,3/9094301479080.43/.4380.:9;0,3/$,20990
897388498,;0039.,30570880/-9006:,943
3
%0;,:0303:2-0789,905708890-,8.94309094304190
178980.43/4;079430,3/8443
%:8 90 1706:03. 41 90 94308 574/:.0/ 5508 4503 47,3 8,981 90
06:,943
13
3
070
133994301706:03.
;;04.941,;05745,,9433908973,3/
03941550
%0;,:0303:2-0789,905708890-,8.94309094304190
178980.43/4;079430,3/8443
:7907.425,784341901706:03.410,.9430942009
1411
4807,3!50
742 90 5.9:70,-4;0 90 ,;00394190 -,8. 9430 90 9430 41 90
1789,3/9094301479080.43/.4380.:9;0,3/30307,
909700,;00398.,3-00570880/-9006:,943
-
8/3/2019 Application of Series in Physics
5/12
3
%:8901706:03.419094308574/:.0/897388,9819006:,943
13
3
070
133994301706:03.
;;04.941,;05745,,943355028
039415502
%0;,:0303:2-0789,905708890-,8.9430901789
4;07943080.43/4;079430,3/8443
425,784341901706:03.410,.9430942009
1411
.8489,9901706:03.4190943041,34//3:2-072:95084190
-,8.94301706:03.
117,.943437,93
117,.9437,93.438898412,389899082,7/9%0/941
0,.8943907,938.,0/7,93.4389,39,3/9882-40//
795,99073-/117,.9437,934-9,3803
/832
070270,90/949,5041.03907-7947/089
3/
7/47/0
,3/8443
47/,79,50
-
8/3/2019 Application of Series in Physics
6/12
/832
070270,90/94/,79,5089
3/
7/47/0,3/8443
47,309,9;0782,-799,50,55031
2
47/,79,50
2{
$250!03/::2%4,3,34;07;041 90,55.,9434190 80708358.834-0
/8.:880/9905074/41,503/::283,3,30/0;,943.438898
41 ,503/::2 83 41 90 4,/2,882 8 8:8503/0/ 17429003/ 41 90
7450 9 3470 98 2,88 480 039 ,8 843
1904,/85:0/944308/0903,8700,80/904,/-08343
90-,,3.05439 944907 5439 $:55480/ 9,9503/::2 /0;,9434390
.079,3 ,3/ 90 4,/ 700,80/ 1742 39, ,3 /0;,943 3 39,
548943949,0307889028549039,03079,98
-
8/3/2019 Application of Series in Physics
7/12
2.48
038,3,3041/0;,943949,0307 .4388941 309. ,3/
549039, ":,399 41 843 90,3:,7;04.9
24;0,-:7/03,80/90,41.43807;,943030709
7
%05074/4148.,943%0917423907,4106:,943
!, ,9903943 03 90 ;,:0 8 .,33 1742 0 ,9 9,9 242039 ,84
503/::243 974:5074/%070- 89,902039843 90 5074/0 41
503/::2
#0202-0790/039941974342097 84.,3790
0.,.:,903907,98:-899:943
$3/,38383
9820,39,9 3907,-4:3/,7 8 .,33 1742 8,,90 8,,9
!,,99039439,984389,39,-0.,:80 89039,,3041/0;,943
$:-899:9439409
-
8/3/2019 Application of Series in Physics
8/12
#0202-07
:9 84 9 0,-47,93 3907, 3 -342, 80708 ,3/
3907,90/430-43009
:98384
%885074/41503/::2147,3/0;,943,301/0;,943,30882,
8483,3/70/:.90/-0.420
%01472:,81472:,905074/041503/::29,90,;070.430/
$
!407$0708
-
8/3/2019 Application of Series in Physics
9/12
,250
47,3 550 ,;0 039 .2 1 90 84:3/ 7,5/ 3 90 ,7 8 28/0907230901706:03.41-,8.9430,3/949430:51
, 50347,35503909495- 48047,3550343095
3807
343.22,3/;28
, %4450347,355084901706:03.41-,8.943038
1
3
1
{{
%094:59430817899430,3/80.43/:5943084091789:59430,3/80.43/
:594300,.
1
{ {{{
1
{ {
{{
- 94.48055047,384901706:03.41-,8.943038
13
3
1
{{
%094:59430817899430,3/80.43/:5943084091789:59430,3/80.43/:5
94300,.
1
{ {{{
1
{ {{{
-
8/3/2019 Application of Series in Physics
10/12
J
%05.9:70-04843,4-0.99099,9,33,89739,9,;0
039%034-0.95:0/994019844-0.98193,81,7,8174239,
548943
, 0907230,8,5407807081742- 0907230,8,5407807081742
3807
,
-
-
8/3/2019 Application of Series in Physics
11/12
,19,7!:89,,
4,8,7,902,9.,094/83%0!8.,$.03.0804743
0$438#:,394,2-,3,902,9,&39:8,/,3%03/9,
$40/44 !0907 8,8 8,8 ,902,9, 8, /,3 %03 4,,79, ,,
,/,&3;0789!7088
-
8/3/2019 Application of Series in Physics
12/12