Expression 24: "y" equals negative 6 left brace, 0 less than "x" less than 4 , right brace Has graph. To audio trace, press ALT+T.y=−60<x<4
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Mode: E & B Field: left parenthesis, 2 , negative 6.5 , right parenthesis left brace, "M" Subscript, "o" "d" "e" , Baseline equals 1 , right brace equals left parenthesis, 2 , negative 6.5 , right parenthesis2,−6.5Mode=1
Label:
equals=
left parenthesis, 2 , negative 6.5 , right parenthesis2,−6.5
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Mode: E Field only: left parenthesis, 2 , negative 6.5 , right parenthesis left brace, "M" Subscript, "o" "d" "e" , Baseline equals 2 , right brace equals "u" "n" "d" "e" "f" "i" "n" "e" "d"2,−6.5Mode=2
Label:
undefined
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Mode: E Field with components: left parenthesis, 2 , negative 6.5 , right parenthesis left brace, "M" Subscript, "o" "d" "e" , Baseline equals 3 , right brace equals "u" "n" "d" "e" "f" "i" "n" "e" "d"2,−6.5Mode=3
Label:
undefined
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Mode: E Field components only: left parenthesis, 2 , negative 6.5 , right parenthesis left brace, "M" Subscript, "o" "d" "e" , Baseline equals 4 , right brace equals "u" "n" "d" "e" "f" "i" "n" "e" "d"2,−6.5Mode=4
Label:
undefined
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Hidden Label: left parenthesis, 4 "w" Subscript, 0 , Baseline , negative 12 , right parenthesis equals left parenthesis, 2 , negative 12 , right parenthesis Has graph. To audio trace, press ALT+T.4w0,−12
Label
equals=
left parenthesis, 2 , negative 12 , right parenthesis2,−12
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Expression 30: "y" equals negative 12 left brace, 0 less than "x" less than 4 , right brace Has graph. To audio trace, press ALT+T.y=−120<x<4
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Frequency: left parenthesis, 2 , negative 12.5 , right parenthesis2,−12.5
Label:
31
Mode 1: E+B-field, Mode 2: E field, Mode 3: E-field with components. Mode 4: E-field components only
Expression 49: "Z" Subscript, "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis equals left parenthesis, "x" , right parenthesis left parenthesis, "s" Subscript, "i" "n" "X" "Y" , Baseline times "s" Subscript, "i" "n" "Y" "Z" , Baseline , right parenthesis minus left parenthesis, "z" , right parenthesis left parenthesis, "c" Subscript, "o" "s" "X" "Y" , Baseline times "s" Subscript, "i" "n" "Y" "Z" , Baseline , right parenthesis plus left parenthesis, "y" , right parenthesis left parenthesis, "c" Subscript, "o" "s" "Y" "Z" , Baseline , right parenthesisZDx,y,z=xsinXY·sinYZ−zcosXY·sinYZ+ycosYZ
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Expression 50: "X" Subscript, 3 "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis equals left parenthesis, 1 minus StartFraction, "Z" Subscript, "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis Over "l" Subscript, 00 , Baseline , EndFraction , right parenthesis left parenthesis, left parenthesis, "x" , right parenthesis left parenthesis, "c" Subscript, "o" "s" "X" "Y" , Baseline , right parenthesis plus left parenthesis, "z" , right parenthesis left parenthesis, "s" Subscript, "i" "n" "X" "Y" , Baseline , right parenthesis , right parenthesisX3Dx,y,z=1−ZDx,y,zl00xcosXY+zsinXY
50
Expression 51: "Y" Subscript, 3 "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis equals left parenthesis, 1 minus StartFraction, "Z" Subscript, "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis Over "l" Subscript, 00 , Baseline , EndFraction , right parenthesis left parenthesis, left parenthesis, "x" , right parenthesis left parenthesis, negative "s" Subscript, "i" "n" "X" "Y" , Baseline times "c" Subscript, "o" "s" "Y" "Z" , Baseline , right parenthesis plus left parenthesis, "z" , right parenthesis "c" Subscript, "o" "s" "X" "Y" , Baseline "c" Subscript, "o" "s" "Y" "Z" , Baseline plus left parenthesis, "y" , right parenthesis "s" Subscript, "i" "n" "Y" "Z" , Baseline , right parenthesisY3Dx,y,z=1−ZDx,y,zl00x−sinXY·cosYZ+zcosXYcosYZ+ysinYZ
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We pre-calculate the values of these trig functions to speed up performance as the 3D functions get used over and over.
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Expression 53: "s" Subscript, "i" "n" "X" "Y" , Baseline equals sine left parenthesis, theta Subscript, "x" "y" , Baseline , right parenthesis equals negative 0.1 6 9 1 8 2 3 4 9 0 6 7sinXY=sinθxy
equals=
negative 0.1 6 9 1 8 2 3 4 9 0 6 7−0.169182349067
53
Expression 54: "c" Subscript, "o" "s" "X" "Y" , Baseline equals cosine left parenthesis, theta Subscript, "x" "y" , Baseline , right parenthesis equals 0.9 8 5 5 8 4 7 6 6 9 1cosXY=cosθxy
equals=
0.9 8 5 5 8 4 7 6 6 9 10.98558476691
54
Expression 55: "s" Subscript, "i" "n" "Y" "Z" , Baseline equals sine left parenthesis, theta Subscript, "y" "z" , Baseline , right parenthesis equals 0.9 4 6 3 0 0 0 8 7 6 8 7sinYZ=sinθyz
Expression 57: "T" Subscript, "h" "r" "e" "e" "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis equals left parenthesis, "X" Subscript, 3 "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis , "Y" Subscript, 3 "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis , right parenthesisThreeDx,y,z=X3Dx,y,z,Y3Dx,y,z
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Axes
Hide this folder from students.
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Made by Michael Friedman, Physics Teacher at Somerville High School, Somerville MA. mfriedman@k12.somerville.ma.us May be updated at http://friedman.science
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3D Machinery by Suzanne von Oy
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powered by
powered by
Vertical Linear Polarization
Circular Polarization
Electric Field Direction at
"t"t
= 0: 0°
left parenthesis, 1.9 8 8 8 9 , negative 10 , right parenthesis1.98889,−10
