Upload
sh3nra
View
255
Download
6
Embed Size (px)
Citation preview
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
1/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
2/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
3/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
4/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
5/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
6/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
7/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
8/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
9/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
10/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
11/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
12/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
13/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
14/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
15/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
16/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
17/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
18/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
19/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
20/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
21/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
22/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
23/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
24/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
25/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
26/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
27/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
28/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
29/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
30/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
31/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
32/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
33/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
34/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
35/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
36/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
37/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
38/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
39/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
40/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
41/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
42/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
43/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
44/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
45/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
46/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
47/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
48/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
49/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
50/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
51/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
52/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
53/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
54/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
55/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
56/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
57/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
58/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
59/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
60/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
61/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
62/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
63/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
64/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
65/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
66/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
67/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
68/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
69/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
70/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
71/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
72/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
73/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
74/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
75/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
76/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
77/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
78/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
79/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
80/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
81/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
82/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
83/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
84/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
85/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
86/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
87/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
88/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
89/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
90/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
91/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
92/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
93/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
94/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
95/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
96/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
97/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
98/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
99/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
100/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
101/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
102/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
103/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
104/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
105/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
106/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
107/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
108/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
109/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
110/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
111/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
112/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
113/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
114/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
115/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
116/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
117/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
118/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
119/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
120/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
121/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
122/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
123/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
124/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
125/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
126/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
127/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
128/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
129/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
130/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
131/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
132/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
133/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
134/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
135/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
136/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
137/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
138/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
139/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
140/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
141/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
142/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
143/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
144/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
145/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
146/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
147/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
148/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
149/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
150/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
151/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
152/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
153/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
154/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
155/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
156/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
157/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
158/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
159/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
160/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
161/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
162/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
163/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
164/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
165/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
166/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
167/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
168/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
169/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
170/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
171/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
172/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
173/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
174/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
175/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
176/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
177/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
178/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
179/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
180/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
181/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
182/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
183/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
184/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
185/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
186/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
187/234
APXI-7 Terminated Simple Five Element Transmission Networks (EPD Fig. 1)
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
188/234
APIX - 8 Resonant Longitudinal Five Element Transmission Network (Simple) (EPD Fig.2)
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
189/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
190/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
191/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
192/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
193/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
194/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
195/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
196/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
197/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
198/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
199/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
200/234
sec2 per cm3 (1)
These coefficients are defined by the established conventional physical dimensions
C t2
3
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
201/234
cm per sec2 (2)K l
t2
(4)
cmL l
M 1
l3
per cm3
(3)
l3
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
202/234
Let the shunt coefficients be combined by the relation
M u2CM
1
(k)2C (5)
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
203/234
Where the factor
K u2L K
1
(k)2
And let the series coefficients be combined by the relation
u2
(k)2 per second2
2F per second
and
k4
1 A dimensionless unit
(6)
(7)
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
204/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
205/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
206/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
207/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
208/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
209/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
210/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
211/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
212/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
213/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
214/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
215/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
216/234
TW 2
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
217/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
218/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
219/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
220/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
221/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
222/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
223/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
224/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
225/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
226/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
227/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
228/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
229/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
230/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
231/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
232/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
233/234
7/29/2019 Pt.3 - Algebra - Eric Dollard SFTS Powerpoint
234/234