Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cut-off Frequency Circular Waveguide TM01 = ([c]*2.405)/(2*pi*Radius of Circular Waveguide)
fc,TM01 = ([c]*2.405)/(2*pi*Rcircular)
This formula uses 2 Constants, 2 Variables
Constants Used
[c] - Light speed in vacuum Value Taken As 299792458.0
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Cut-off Frequency Circular Waveguide TM01 - (Measured in Hertz) - The Cut-off Frequency Circular Waveguide TM01 mode in a circular waveguide refers to the lowest frequency at which this specific mode can propagate through the waveguide.
Radius of Circular Waveguide - (Measured in Meter) - The Radius of Circular Waveguide typically refers to the physical radius of a circular waveguide, which is a type of transmission line used for guiding electromagnetic waves.
STEP 1: Convert Input(s) to Base Unit
Radius of Circular Waveguide: 10 Centimeter --> 0.1 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fc,TM01 = ([c]*2.405)/(2*pi*Rcircular) --> ([c]*2.405)/(2*pi*0.1)
Evaluating ... ...
fc,TM01 = 1147508510.79648
STEP 3: Convert Result to Output's Unit
1147508510.79648 Hertz -->1147.50851079648 Megahertz (Check conversion ​here)
FINAL ANSWER
1147.50851079648 1147.509 Megahertz <-- Cut-off Frequency Circular Waveguide TM01
(Calculation completed in 00.004 seconds)

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National Institute of Technology Agartala (NITA), Agartala, Tripura
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Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode Formula

​LaTeX ​Go
Cut-off Frequency Circular Waveguide TM01 = ([c]*2.405)/(2*pi*Radius of Circular Waveguide)
fc,TM01 = ([c]*2.405)/(2*pi*Rcircular)

What is the significance of cut-off frequency of circular waveguide in transverse magnetic 01 mode?

In electromagnetic wave transmission, the cut-off frequency for the TM01 mode in a circular waveguide is very important. The lower frequency range at which this particular mode can travel via the waveguide is indicated. The TM01 mode vanishes below this key frequency, which affects how the waveguide transmits signals. The cut-off frequency is an important consideration for engineers and designers when setting up circular waveguides for uses like radar systems and microwave communication. It sets the operating range and directs the choice of suitable waveguide diameters to guarantee peak performance. In circular waveguide applications, effective and dependable electromagnetic wave propagation essentially depends on knowing and managing the cut-off frequency.

How to Calculate Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode?

Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode calculator uses Cut-off Frequency Circular Waveguide TM01 = ([c]*2.405)/(2*pi*Radius of Circular Waveguide) to calculate the Cut-off Frequency Circular Waveguide TM01, The Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode represents the lowest frequency at which this mode can propagate. In this mode, the electric field has azimuthal and radial components, while the magnetic field is purely axial. Cut-off Frequency Circular Waveguide TM01 is denoted by fc,TM01 symbol.

How to calculate Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode using this online calculator? To use this online calculator for Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode, enter Radius of Circular Waveguide (Rcircular) and hit the calculate button. Here is how the Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode calculation can be explained with given input values -> 0.001148 = ([c]*2.405)/(2*pi*0.1).

FAQ

What is Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode?
The Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode represents the lowest frequency at which this mode can propagate. In this mode, the electric field has azimuthal and radial components, while the magnetic field is purely axial and is represented as fc,TM01 = ([c]*2.405)/(2*pi*Rcircular) or Cut-off Frequency Circular Waveguide TM01 = ([c]*2.405)/(2*pi*Radius of Circular Waveguide). The Radius of Circular Waveguide typically refers to the physical radius of a circular waveguide, which is a type of transmission line used for guiding electromagnetic waves.
How to calculate Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode?
The Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode represents the lowest frequency at which this mode can propagate. In this mode, the electric field has azimuthal and radial components, while the magnetic field is purely axial is calculated using Cut-off Frequency Circular Waveguide TM01 = ([c]*2.405)/(2*pi*Radius of Circular Waveguide). To calculate Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode, you need Radius of Circular Waveguide (Rcircular). With our tool, you need to enter the respective value for Radius of Circular Waveguide 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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