LCM of three numbers

Attenuation for TMmn mode Calculator

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✖Conductivity (or specific conductance) of an electrolyte solution is a measure of its ability to conduct electricity. The SI unit of conductivity is siemens per meter (S/m).ⓘ Conductivity [σ]			+10% -10%
✖Intrinsic impedance describes the magnitude of the magnetic and electric fields present in the free space.ⓘ Intrinsic Impedance [η]			+10% -10%
✖Cut-off Frequency of rectangular waveguide defines wave propagation modes in the rectangular waveguide, and this frequency is dependent on the dimensions of the waveguide.ⓘ Cut-off Frequency [f_c]			+10% -10%
✖Frequency the number of waves that pass a fixed point in unit time; also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion in a waveguide.ⓘ Frequency [f]			+10% -10%

✖Attenuation for the TMmn mode is the attenuation calculated in the rectangular waveguide for the TEmn mode. Attenuation is defined as the reduction in the amplitude of a signal.ⓘ Attenuation for TMmn mode [α_TM]

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Formula

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Attenuation for TMmn mode

Formula

α TM = (\frac{σ \cdot η}{2}) \cdot \sqrt{1 - {(\frac{f c}{f})}^{2}}

Example

7.590707 dB/m = (\frac{0.1 S/m \cdot 0.152 kΩ}{2}) \cdot \sqrt{1 - {(\frac{2.72 Hz}{55.02 Hz})}^{2}}

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Attenuation for TMmn mode Solution

STEP 0: Pre-Calculation Summary

Formula Used

Attenuation for the TMmn mode = ((Conductivity*Intrinsic Impedance)/2)*sqrt(1-(Cut-off Frequency/Frequency)^2)
α_TM = ((σ*η)/2)*sqrt(1-(f_c/f)^2)
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Attenuation for the TMmn mode - (Measured in Decibel per Meter) - Attenuation for the TMmn mode is the attenuation calculated in the rectangular waveguide for the TEmn mode. Attenuation is defined as the reduction in the amplitude of a signal.
Conductivity - (Measured in Siemens per Meter) - Conductivity (or specific conductance) of an electrolyte solution is a measure of its ability to conduct electricity. The SI unit of conductivity is siemens per meter (S/m).
Intrinsic Impedance - (Measured in Ohm) - Intrinsic impedance describes the magnitude of the magnetic and electric fields present in the free space.
Cut-off Frequency - (Measured in Hertz) - Cut-off Frequency of rectangular waveguide defines wave propagation modes in the rectangular waveguide, and this frequency is dependent on the dimensions of the waveguide.
Frequency - (Measured in Hertz) - Frequency the number of waves that pass a fixed point in unit time; also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion in a waveguide.

STEP 1: Convert Input(s) to Base Unit

Conductivity: 0.1 Siemens per Meter --> 0.1 Siemens per Meter No Conversion Required
Intrinsic Impedance: 0.152 Kilohm --> 152 Ohm (Check conversion here)
Cut-off Frequency: 2.72 Hertz --> 2.72 Hertz No Conversion Required
Frequency: 55.02 Hertz --> 55.02 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_TM = ((σ*η)/2)*sqrt(1-(f_c/f)^2) --> ((0.1*152)/2)*sqrt(1-(2.72/55.02)^2)

Evaluating ... ...

α_TM = 7.59070721632858

STEP 3: Convert Result to Output's Unit

7.59070721632858 Decibel per Meter --> No Conversion Required

FINAL ANSWER

7.59070721632858 ≈ 7.590707 Decibel per Meter <-- Attenuation for the TMmn mode

(Calculation completed in 00.004 seconds)

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< Microwave Devices Calculators

Force Exerted on Particle

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Characteristic Wave Impedance

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Quality Factor

Go Quality Factor = (Angular Frequency*Maximum Stored Energy)/(Average Power Loss)

Power Losses for TEM Mode

Go Power Losses for the TEM Mode = 2*Attenuation Constant*Transmitting Power

Attenuation for TMmn mode Formula

Attenuation for the TMmn mode = ((Conductivity*Intrinsic Impedance)/2)*sqrt(1-(Cut-off Frequency/Frequency)^2)
α_TM = ((σ*η)/2)*sqrt(1-(f_c/f)^2)

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Often the term "plane wave" refers specifically to a traveling plane wave, whose evolution in time can be described as simple translation of the field at a constant wave speed along the direction perpendicular to the wavefronts. A true plane wave cannot physically exist, because it would have to fill all space. Nevertheless, the plane wave model is important and widely used in physics.

How to Calculate Attenuation for TMmn mode?

Attenuation for TMmn mode calculator uses Attenuation for the TMmn mode = ((Conductivity*Intrinsic Impedance)/2)*sqrt(1-(Cut-off Frequency/Frequency)^2) to calculate the Attenuation for the TMmn mode, Attenuation for TMmn mode is the attenuation calculated in the rectangular waveguide for the TMmn mode. Attenuation is defined as the reduction in the amplitude of a signal as it travels through a medium. Attenuation can be caused by transmission loss, reflection, or absorption. Attenuation for the TMmn mode is denoted by α_TM symbol.

How to calculate Attenuation for TMmn mode using this online calculator? To use this online calculator for Attenuation for TMmn mode, enter Conductivity (σ), Intrinsic Impedance (η), Cut-off Frequency (f_c) & Frequency (f) and hit the calculate button. Here is how the Attenuation for TMmn mode calculation can be explained with given input values -> 7.506366 = ((0.1*152)/2)*sqrt(1-(2.72/55.02)^2).

FAQ

What is Attenuation for TMmn mode?

Attenuation for TMmn mode is the attenuation calculated in the rectangular waveguide for the TMmn mode. Attenuation is defined as the reduction in the amplitude of a signal as it travels through a medium. Attenuation can be caused by transmission loss, reflection, or absorption and is represented as α_TM = ((σ*η)/2)*sqrt(1-(f_c/f)^2) or Attenuation for the TMmn mode = ((Conductivity*Intrinsic Impedance)/2)*sqrt(1-(Cut-off Frequency/Frequency)^2). Conductivity (or specific conductance) of an electrolyte solution is a measure of its ability to conduct electricity. The SI unit of conductivity is siemens per meter (S/m), Intrinsic impedance describes the magnitude of the magnetic and electric fields present in the free space, Cut-off Frequency of rectangular waveguide defines wave propagation modes in the rectangular waveguide, and this frequency is dependent on the dimensions of the waveguide & Frequency the number of waves that pass a fixed point in unit time; also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion in a waveguide.

How to calculate Attenuation for TMmn mode?

Attenuation for TMmn mode is the attenuation calculated in the rectangular waveguide for the TMmn mode. Attenuation is defined as the reduction in the amplitude of a signal as it travels through a medium. Attenuation can be caused by transmission loss, reflection, or absorption is calculated using Attenuation for the TMmn mode = ((Conductivity*Intrinsic Impedance)/2)*sqrt(1-(Cut-off Frequency/Frequency)^2). To calculate Attenuation for TMmn mode, you need Conductivity (σ), Intrinsic Impedance (η), Cut-off Frequency (f_c) & Frequency (f). With our tool, you need to enter the respective value for Conductivity, Intrinsic Impedance, Cut-off Frequency & Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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