Expression 34: "E" Subscript, 1 , Baseline left parenthesis, "x" , "y" , right parenthesis equals StartFraction, "k" "Q" Subscript, 1 , Baseline Over distance left parenthesis, left parenthesis, "x" , "y" , right parenthesis , "P" Subscript, 1 , Baseline , right parenthesis squared , EndFraction times StartFraction, left parenthesis, left parenthesis, "x" , "y" , right parenthesis minus "P" Subscript, 1 , Baseline , right parenthesis Over distance left parenthesis, left parenthesis, "x" , "y" , right parenthesis , "P" Subscript, 1 , Baseline , right parenthesis , EndFractionE1x,y=kQ1distancex,y,P12·x,y−P1distancex,y,P1
34
Expression 35: "E" Subscript, 2 , Baseline left parenthesis, "x" , "y" , right parenthesis equals StartFraction, "k" "Q" Subscript, 2 , Baseline Over distance left parenthesis, left parenthesis, "x" , "y" , right parenthesis , "P" Subscript, 2 , Baseline , right parenthesis squared , EndFraction times StartFraction, left parenthesis, left parenthesis, "x" , "y" , right parenthesis minus "P" Subscript, 2 , Baseline , right parenthesis Over distance left parenthesis, left parenthesis, "x" , "y" , right parenthesis , "P" Subscript, 2 , Baseline , right parenthesis , EndFractionE2x,y=kQ2distancex,y,P22·x,y−P2distancex,y,P2
35
Expression 36: "E" Subscript, "v" "e" "c" , Baseline left parenthesis, "x" , "y" , right parenthesis equals "E" Subscript, 1 , Baseline left parenthesis, "x" , "y" , right parenthesis plus "E" Subscript, 2 , Baseline left parenthesis, "x" , "y" , right parenthesisEvecx,y=E1x,y+E2x,y
36
Expression 37: "G" Subscript, "v" "e" "c" "A" "t" , Baseline left parenthesis, "Z" , "E" Subscript, "v" "e" "c" , Baseline left parenthesis, "Z" . "x" , "Z" . "y" , right parenthesis times 2 Superscript, "f" , Baseline , 0.1 , right parenthesisGvecAtZ,EvecZ.x,Z.y·2f,0.1
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
37
Expression 38: "f" equals negative 3f=−3
negative 10−10
1010
38
Expression 39: "G" Subscript, "v" "e" "c" "A" "t" , Baseline left parenthesis, "Z" , "E" Subscript, 1 , Baseline left parenthesis, "Z" . "x" , "Z" . "y" , right parenthesis times 2 Superscript, "f" , Baseline , 0.1 , right parenthesisGvecAtZ,E1Z.x,Z.y·2f,0.1
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
39
Expression 40: "G" Subscript, "v" "e" "c" "A" "t" , Baseline left parenthesis, "Z" , "E" Subscript, 2 , Baseline left parenthesis, "Z" . "x" , "Z" . "y" , right parenthesis times 2 Superscript, "f" , Baseline , 0.1 , right parenthesisGvecAtZ,E2Z.x,Z.y·2f,0.1
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
40
Expression 41: "E" left parenthesis, "x" , "y" , right parenthesis equals left parenthesis, negative StartFraction, "d" Over "d" "x" , EndFraction "V" left parenthesis, "x" , "y" , right parenthesis , negative StartFraction, "d" Over "d" "y" , EndFraction "V" left parenthesis, "x" , "y" , right parenthesis , right parenthesisEx,y=−ddxVx,y,−ddyVx,y
41
Expression 42: "G" Subscript, "v" "e" "c" "A" "t" , Baseline left parenthesis, "Z" , "E" left parenthesis, "Z" . "x" , "Z" . "y" , right parenthesis times 2 Superscript, "f" , Baseline , 0.1 , right parenthesisGvecAtZ,EZ.x,Z.y·2f,0.1
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
42
Expression 43: "V" Subscript, "Z" , BaselineVZ
equals=
1.9 6 7 0 0 9 2 3 3 5 11.96700923351
43
Expression 44: "V" Subscript, "Z" 1 , Baseline equals "V" Subscript, "a" "s" "I" "n" "t" 1 , Baseline left parenthesis, "Z" . "x" , "Z" . "y" , right parenthesisVZ1=VasInt1Z.x,Z.y
equals=
1.9 6 7 0 0 9 2 3 3 5 11.96700923351
44
Hidden ${V_Z1} left parenthesis, "Z" . "x" , "Z" . "y" , right parenthesisZ.x,Z.y
Label:
equals=
left parenthesis, negative 0.5 , 1 , right parenthesis−0.5,1
45
Expression 46: "V" Subscript, "a" "s" "I" "n" "t" 2 , Baseline left parenthesis, "Z" . "x" , "Z" . "y" , right parenthesisVasInt2Z.x,Z.y
equals=
1.9 6 7 0 0 9 2 3 3 5 11.96700923351
46
Expression 47: "V" Subscript, "a" "s" "I" "n" "t" 3 , Baseline left parenthesis, "Z" . "x" , "Z" . "y" , right parenthesisVasInt3Z.x,Z.y
equals=
1.9 6 7 0 0 9 2 3 3 5 11.96700923351
47
Expression 48: "V" Subscript, "a" "s" "I" "n" "t" 4 , Baseline left parenthesis, "Z" . "x" , "Z" . "y" , right parenthesisVasInt4Z.x,Z.y
equals=
1.9 6 7 0 0 9 2 3 3 5 11.96700923351
48
Expression 49: "V" Subscript, "a" "s" "I" "n" "t" 1 , Baseline left parenthesis, "X" , "Y" , right parenthesis equals negative left parenthesis, Start integral from infinity to 1, end integral, left parenthesis, "E" Subscript, "v" "e" "c" , Baseline left parenthesis, "s" "X" , "s" "Y" , right parenthesis . "x" "X" positive "E" Subscript, "v" "e" "c" , Baseline left parenthesis, "s" "X" , "s" "Y" , right parenthesis . "y" "Y" , right parenthesis "d" "s" , right parenthesisVasInt1X,Y=−∫1∞EvecsX,sY.xX+EvecsX,sY.yYds
49
Expression 50: "V" Subscript, "a" "s" "I" "n" "t" 2 , Baseline left parenthesis, "X" , "Y" , right parenthesis equals negative left parenthesis, Start integral from negative infinity to 0, end integral, "E" Subscript, "v" "e" "c" , Baseline left parenthesis, 0 , "y" , right parenthesis . "y" "d" "y" positive Start integral from 0 to 1, end integral, left parenthesis, "E" Subscript, "v" "e" "c" , Baseline left parenthesis, "s" "X" , "s" "Y" , right parenthesis . "x" "X" positive "E" Subscript, "v" "e" "c" , Baseline left parenthesis, "s" "X" , "s" "Y" , right parenthesis . "y" "Y" , right parenthesis "d" "s" , right parenthesisVasInt2X,Y=−∫0−∞Evec0,y.ydy+∫10EvecsX,sY.xX+EvecsX,sY.yYds
50
Expression 51: "V" Subscript, "a" "s" "I" "n" "t" 3 , Baseline left parenthesis, "X" , "Y" , right parenthesis equals negative left parenthesis, Start integral from infinity to 0, end integral, "E" Subscript, "v" "e" "c" , Baseline left parenthesis, 0 , "y" , right parenthesis . "y" "d" "y" positive Start integral from 0 to 1, end integral, left parenthesis, "E" Subscript, "v" "e" "c" , Baseline left parenthesis, "s" "X" , "s" "Y" , right parenthesis . "x" "X" positive "E" Subscript, "v" "e" "c" , Baseline left parenthesis, "s" "X" , "s" "Y" , right parenthesis . "y" "Y" , right parenthesis "d" "s" , right parenthesisVasInt3X,Y=−∫0∞Evec0,y.ydy+∫10EvecsX,sY.xX+EvecsX,sY.yYds
51
Expression 52: "V" Subscript, "a" "s" "I" "n" "t" 4 , Baseline left parenthesis, "X" , "Y" , right parenthesis equals negative left parenthesis, Start integral from infinity to 1, end integral, left parenthesis, "E" Subscript, "v" "e" "c" , Baseline left parenthesis, "s" "X" , "s" "Y" , right parenthesis . "x" "X" positive "E" Subscript, "v" "e" "c" , Baseline left parenthesis, "s" "X" , "s" "Y" , right parenthesis . "y" "Y" , right parenthesis "d" "s" , right parenthesisVasInt4X,Y=−∫1∞EvecsX,sY.xX+EvecsX,sY.yYds