Ejercicio 5_ Alexis Pedroza.xlsx
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Exercise
Media 1. Input data
Constants
Er =
3.5
Relative electric permitivity
Eo =
Ur =
2.2
Relative magnetic permeability
Uo =
1.9 S/m
Conductivity
a= f=
2. Losses tangent
3. Characterization of the medium
4. Propagation parameters
1.00E+07 Hz
Frecuency
Tan(d) =
a / (w * E)
Losses tangent
w=
2 * Pi * f
Rad/s
Angular Frecuency
E=
Eo * Er
F/m
Absolute electric permitivity
U=
Uo * Ur
N/A^2
Absolute magnetic permeability
Tan(d) =
?
4. Propagation parameters
5. Output data
r= A= B= L= dp = dp(L) =
?= ? [Rad/m] = ? [Np/m] = 8,661 Np/m 2 * Pi / B [m] = 1 / A [m] = 0,1154m dp / L =
See example 69 of Paz, A (2013). Pg 220
propagation constant (this is obtained from the previous t Attenuation constant (this is obtained from the previous ta Phase constant (this is obtained from the previous table) Wavelength Depth of penetration Penetrated wavelengths
Constants 8.8541878E-12 F/m
Electric vacuum permittivity
1.2566371E-06 N/A^2
magnetic vacuum permeability
According to Tan(d), determine how the medium behaves? choose 1 of the 5 options.
From the table note that: r (gamma)= propagation constant A (alfa)= Attenuation constant B (beta)= Phase constant n (eta) = intrinsic impedance L (Lambda)= Wavelength Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
tained from the previous table) ained from the previous table) d from the previous table)
has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
Requested information
Exercise
Media 1. Input data
2. Losses tangent
3. Characterization of the medium
4. Propagation parameters
Constants
Er =
2.5
Relative electric permitivity
Eo =
Ur =
1.3
Relative magnetic permeability
Uo =
a=
1.80E-03 S/m
Conductivity
f=
1.00E+09 Hz
Frecuency
Tan(d) =
a / (w * E)
Losses tangent
w=
2 * Pi * f
Rad/s
Angular Frecuency
E=
Eo * Er
F/m
Absolute electric permitivity
U=
Uo * Ur
N/A^2
Absolute magnetic permeability
Tan(d) =
?
4. Propagation parameters
5. Output data
r= B= fv = L= Ir =
?= ? [Np/m] = 37.757 Rad/m w / B [m/s] = 2 * pi / B [m] = 0.166 m Co / Vp =
See example 66 of Paz, A (2013). Pg 215
propagation constant (this is obtained from the previous ta Phase constant (this is obtained from the previous table) Phase velocity Wavelength Index of refraction
Constants 8.8541878E-12 F/m
Electric vacuum permittivity
1.2566371E-06 N/A^2
magnetic vacuum permeability
According to Tan(d), determine how the medium behaves? choose 1 of the 5 options.
From the table note that: r (gamma)= propagation constant A (alfa)= Attenuation constant B (beta)= Phase constant n (eta) = intrinsic impedance L (Lambda)= Wavelength Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
tained from the previous table) d from the previous table) Requested information
Exercise
Media
1. Input data
Er =
5.5
Ur =
1.9
a=
1.46E-05 S/m
E=
127 V/m
f=
2. Losses tangent
3. Characterization of the medium
4. Propagation parameters
2.00E+08 Hz
Tan(d) =
a / (w * E)
w=
2 * Pi * f
Rad/s
E=
Eo * Er
F/m
U=
Uo * Ur
N/A^2
Tan(d) =
?
4. Propagation parameters
5. Output data
n= n= Po = A= dp =
? [Ohm] = ? [Ohm] = E^2 * Cos( Angle(n)) / ( 2 Magnitude(n)) = ? [Np/m] = 1 / A [m] =
See example 75 of Paz, A (2013). Pg 238
221.578 Ohm < 0° 0.002 Np/m
Constants Relative electric permitivity
Eo =
8.8541878E-12 F/m
Electric vacuum permittivity
Relative magnetic permeability
Uo =
1.2566371E-06 N/A^2
magnetic vacuum permeability
Conductivity Electric field Frecuency Losses tangent Angular Frecuency Absolute electric permitivity Absolute magnetic permeability
According to Tan(d), determine how the medium behaves? choose 1 of the 5 options.
Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
intrinsic impedance (in rectangular coordinates (X + jY)) intrinsic impedance (in polar coordinates ( Magnitude(n)
Requested information
From the table note that: r (gamma)= propagation constant A (alfa)= Attenuation constant B (beta)= Phase constant n (eta) = intrinsic impedance L (Lambda)= Wavelength
(this is obtained from the previous table) Convert from rectangular to polar with Mathematics 4.0, see web conference (if "n" is real, then the angle is 0°)
Exercise
Media
1. Input data
Er =
5.5
Ur =
1.9
a=
1.46E-05
E=
120
f=
2. Losses tangent
3. Characterization of the medium
4. Propagation parameters
4.00E+08
Tan(d) =
a / (w * E)
w=
2 * Pi * f
E=
Eo * Er
U=
Uo * Ur
Tan(d) =
?
4. Propagation parameters
5. Output data
r= A= %Losses(1m) = n= Po = %Losses(20m) = Losses(20m) =
?= ? [Np/m] = 1 - e^(-2AX) [%] = ? [Ohm] = E^2 * Cos( Angle(n)) / ( 2 Magnitude(n)) = 1 - e^(-2AX) [%] = Po * %Losses(20m) [W/m^2] =
See example 76 of Paz, A (2013). Pg 240
Units
Constants Relative electric permitivity
Eo =
8.8541878E-12 F/m
Relative magnetic permeability
Uo =
1.2566371E-06 N/A^2
S/m
Conductivity
V/m
Electric field
Hz
Frecuency Losses tangent
Rad/s
Angular Frecuency
F/m
Absolute electric permitivity
N/A^2
Absolute magnetic permeability
0.002 Np/m 221,578 Ohm < 0° 6.265 %
propagation constant (this is obtained from the previous table) Attenuation constant (this is obtained from the previous table) % Losses per unit length (X=1m) intrinsic impedance (in polar coordinates ( Magnitude(n)
Electric vacuum permittivity magnetic vacuum permeability
According to Tan(d), determine how the medium behaves? choose 1 of the 5 options.
From the table note that: r (gamma)= propagation constant A (alfa)= Attenuation constant B (beta)= Phase constant n (eta) = intrinsic impedance L (Lambda)= Wavelength Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
Requested information
Exercise
Media 1. Input data
2. Losses tangent
3. Characterization of the medium
4. Propagation parameters
Units
Er =
80
Ur =
1
a=
4.00E+00 S/m
f=
4.00E+08 Hz
Tan(d) =
a / (w * E)
w=
2 * Pi * f
Rad/s
E=
Eo * Er
F/m
U=
Uo * Ur
N/A^2
Tan(d) =
?
5. Output data
r= A= Attenuation = x=
?= ? [Np/m] = -8.68 * A [dB/m] = -3dB / Attenuation [m] =
64,059 + 98,62 i 64,059 Np/m -556.128 dB/m
See example 77 of Paz, A (2013). Pg 242
L
Constants Relative electric permitivity
Eo =
8.8541878E-12 F/m
Relative magnetic permeability
Uo =
1.2566371E-06 N/A^2
Conductivity Frecuency Losses tangent
Tan(d) =
a / (w * E)
Angular Frecuency
w=
2 * Pi * f
Absolute electric permitivity
E=
Eo * Er
Absolute magnetic permeability
U=
Uo * Ur
Tan(d) =
?
tan(Ᵹ)
2.25E+00
Ᵹ
66°
Dielectricos disipativos Dielectrico con perdidas
r (gamma)= A (alfa)= B (beta)= n (eta) = L (Lambda)=
propagation constant (this is obtained from the previous table) Attenuation constant (this is obtained from the previous table) Attenuation per unit length Attenuation for 3dB en metros.
-556.032 0.0053953729
Electric vacuum permittivity magnetic vacuum permeability
2.25E+00 2.51E+09 Rad/s 7.0833503E-10 F/m 1.2566371E-06 N/A^2 2.25E+00
According to Tan(d), determine how the medium behaves? choose 1 of the 5 options.
From the table note that: r (gamma)= propagation constant A (alfa)= Attenuation constant B (beta)= Phase constant n (eta) = intrinsic impedance L (Lambda)= Wavelength Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
Requested information
Media 1. Input data
Constants
Er =
3.5
Relative electric permitivity
Eo =
Ur =
2.2
Relative magnetic permeability
Uo =
1.9 S/m
Conductivity
a= f=
2. Losses tangent
3. Characterization of the medium
4. Propagation parameters
1.00E+07 Hz
Frecuency
Tan(d) =
a / (w * E)
Losses tangent
w=
2 * Pi * f
Rad/s
Angular Frecuency
E=
Eo * Er
F/m
Absolute electric permitivity
U=
Uo * Ur
N/A^2
Absolute magnetic permeability
Tan(d) =
?
4. Propagation parameters
5. Output data
r= A= B= L= dp = dp(L) =
?= ? [Rad/m] = ? [Np/m] = 8,661 Np/m 2 * Pi / B [m] = 1 / A [m] = 0,1154m dp / L =
See example 69 of Paz, A (2013). Pg 220
propagation constant (this is obtained from the previous t Attenuation constant (this is obtained from the previous ta Phase constant (this is obtained from the previous table) Wavelength Depth of penetration Penetrated wavelengths
Constants 8.8541878E-12 F/m
Electric vacuum permittivity
1.2566371E-06 N/A^2
magnetic vacuum permeability
According to Tan(d), determine how the medium behaves? choose 1 of the 5 options.
From the table note that: r (gamma)= propagation constant A (alfa)= Attenuation constant B (beta)= Phase constant n (eta) = intrinsic impedance L (Lambda)= Wavelength Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
tained from the previous table) ained from the previous table) d from the previous table)
has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
Requested information
Exercise
Media 1. Input data
2. Losses tangent
3. Characterization of the medium
4. Propagation parameters
Constants
Er =
2.5
Relative electric permitivity
Eo =
Ur =
1.3
Relative magnetic permeability
Uo =
a=
1.80E-03 S/m
Conductivity
f=
1.00E+09 Hz
Frecuency
Tan(d) =
a / (w * E)
Losses tangent
w=
2 * Pi * f
Rad/s
Angular Frecuency
E=
Eo * Er
F/m
Absolute electric permitivity
U=
Uo * Ur
N/A^2
Absolute magnetic permeability
Tan(d) =
?
4. Propagation parameters
5. Output data
r= B= fv = L= Ir =
?= ? [Np/m] = 37.757 Rad/m w / B [m/s] = 2 * pi / B [m] = 0.166 m Co / Vp =
See example 66 of Paz, A (2013). Pg 215
propagation constant (this is obtained from the previous ta Phase constant (this is obtained from the previous table) Phase velocity Wavelength Index of refraction
Constants 8.8541878E-12 F/m
Electric vacuum permittivity
1.2566371E-06 N/A^2
magnetic vacuum permeability
According to Tan(d), determine how the medium behaves? choose 1 of the 5 options.
From the table note that: r (gamma)= propagation constant A (alfa)= Attenuation constant B (beta)= Phase constant n (eta) = intrinsic impedance L (Lambda)= Wavelength Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
tained from the previous table) d from the previous table) Requested information
Exercise
Media
1. Input data
Er =
5.5
Ur =
1.9
a=
1.46E-05 S/m
E=
127 V/m
f=
2. Losses tangent
3. Characterization of the medium
4. Propagation parameters
2.00E+08 Hz
Tan(d) =
a / (w * E)
w=
2 * Pi * f
Rad/s
E=
Eo * Er
F/m
U=
Uo * Ur
N/A^2
Tan(d) =
?
4. Propagation parameters
5. Output data
n= n= Po = A= dp =
? [Ohm] = ? [Ohm] = E^2 * Cos( Angle(n)) / ( 2 Magnitude(n)) = ? [Np/m] = 1 / A [m] =
See example 75 of Paz, A (2013). Pg 238
221.578 Ohm < 0° 0.002 Np/m
Constants Relative electric permitivity
Eo =
8.8541878E-12 F/m
Electric vacuum permittivity
Relative magnetic permeability
Uo =
1.2566371E-06 N/A^2
magnetic vacuum permeability
Conductivity Electric field Frecuency Losses tangent Angular Frecuency Absolute electric permitivity Absolute magnetic permeability
According to Tan(d), determine how the medium behaves? choose 1 of the 5 options.
Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
intrinsic impedance (in rectangular coordinates (X + jY)) intrinsic impedance (in polar coordinates ( Magnitude(n)
Requested information
From the table note that: r (gamma)= propagation constant A (alfa)= Attenuation constant B (beta)= Phase constant n (eta) = intrinsic impedance L (Lambda)= Wavelength
(this is obtained from the previous table) Convert from rectangular to polar with Mathematics 4.0, see web conference (if "n" is real, then the angle is 0°)
Exercise
Media
1. Input data
Er =
5.5
Ur =
1.9
a=
1.46E-05
E=
120
f=
2. Losses tangent
3. Characterization of the medium
4. Propagation parameters
4.00E+08
Tan(d) =
a / (w * E)
w=
2 * Pi * f
E=
Eo * Er
U=
Uo * Ur
Tan(d) =
?
4. Propagation parameters
5. Output data
r= A= %Losses(1m) = n= Po = %Losses(20m) = Losses(20m) =
?= ? [Np/m] = 1 - e^(-2AX) [%] = ? [Ohm] = E^2 * Cos( Angle(n)) / ( 2 Magnitude(n)) = 1 - e^(-2AX) [%] = Po * %Losses(20m) [W/m^2] =
See example 76 of Paz, A (2013). Pg 240
Units
Constants Relative electric permitivity
Eo =
8.8541878E-12 F/m
Relative magnetic permeability
Uo =
1.2566371E-06 N/A^2
S/m
Conductivity
V/m
Electric field
Hz
Frecuency Losses tangent
Rad/s
Angular Frecuency
F/m
Absolute electric permitivity
N/A^2
Absolute magnetic permeability
0.002 Np/m 221,578 Ohm < 0° 6.265 %
propagation constant (this is obtained from the previous table) Attenuation constant (this is obtained from the previous table) % Losses per unit length (X=1m) intrinsic impedance (in polar coordinates ( Magnitude(n)
Electric vacuum permittivity magnetic vacuum permeability
According to Tan(d), determine how the medium behaves? choose 1 of the 5 options.
From the table note that: r (gamma)= propagation constant A (alfa)= Attenuation constant B (beta)= Phase constant n (eta) = intrinsic impedance L (Lambda)= Wavelength Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
Requested information
Exercise
Media 1. Input data
2. Losses tangent
3. Characterization of the medium
4. Propagation parameters
Units
Er =
80
Ur =
1
a=
4.00E+00 S/m
f=
4.00E+08 Hz
Tan(d) =
a / (w * E)
w=
2 * Pi * f
Rad/s
E=
Eo * Er
F/m
U=
Uo * Ur
N/A^2
Tan(d) =
?
5. Output data
r= A= Attenuation = x=
?= ? [Np/m] = -8.68 * A [dB/m] = -3dB / Attenuation [m] =
64,059 + 98,62 i 64,059 Np/m -556.128 dB/m
See example 77 of Paz, A (2013). Pg 242
L
Constants Relative electric permitivity
Eo =
8.8541878E-12 F/m
Relative magnetic permeability
Uo =
1.2566371E-06 N/A^2
Conductivity Frecuency Losses tangent
Tan(d) =
a / (w * E)
Angular Frecuency
w=
2 * Pi * f
Absolute electric permitivity
E=
Eo * Er
Absolute magnetic permeability
U=
Uo * Ur
Tan(d) =
?
tan(Ᵹ)
2.25E+00
Ᵹ
66°
Dielectricos disipativos Dielectrico con perdidas
r (gamma)= A (alfa)= B (beta)= n (eta) = L (Lambda)=
propagation constant (this is obtained from the previous table) Attenuation constant (this is obtained from the previous table) Attenuation per unit length Attenuation for 3dB en metros.
-556.032 0.0053953729
Electric vacuum permittivity magnetic vacuum permeability
2.25E+00 2.51E+09 Rad/s 7.0833503E-10 F/m 1.2566371E-06 N/A^2 2.25E+00
According to Tan(d), determine how the medium behaves? choose 1 of the 5 options.
From the table note that: r (gamma)= propagation constant A (alfa)= Attenuation constant B (beta)= Phase constant n (eta) = intrinsic impedance L (Lambda)= Wavelength Once the behavior of the medium has been defined, select the column of equations and calculate the necessary propagation parameters. Use Microsoft's "Mathematics 4.0" calculator.
Requested information
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