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(Solved): 1. Calculate the attenuation constant in [Np/m] of a 1 [GHz] plane wave as it passes through ...
1. Calculate the attenuation constant α in [Np/m] of a 1 [GHz] plane wave as it passes through
a medium with a loss tangent of 0.05 if it is known that the medium is nonmagnetic and the
wavelength at that frequency is 17.32 [cm].
2. Calculate the intrinsic impedance ????, the attenuation constant ???? (in [Np/m]), the skin depth ????,
and the wavelength ???? of copper (???? = 5.8 × 107
[S/m], ???? = ????0 and ???? = ????0) at ???? = 60 [Hz].
1. Calculate the attenuation constant in of a plane wave as it passes through a medium with a loss tangent of 0.05 if it is known that the medium is nonmagnetic and the wavelength at that frequency is . 2. Calculate the intrinsic impedance , the attenuation constant (in ), the skin depth , and the wavelength of copper and at .
Expert Answer
solution for the above question.To calculate the attenuation constant ? in [Np/m] of a 1 [GHz] plane wave passing through a medium with a loss tangent of 0.05, we can use the following formula: where:? is the attenuation constant in [Np/m].f is the frequency of the plane wave in [Hz].?r is the relative permittivity of the medium.? is the loss tangent.Given: To find the relative permittivity ?r, we can use the formula for the speed of light in a medium: where:v is the velocity of light in the medium.c is the speed of light in a vacuum (approximately Since the wavelength ? is related to the velocity and frequency by the equation v = ?f, we can rearrange the equation to solve for ?r: