Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cut-off Frequency Circular Waveguide TE11 = ([c]*1.841)/(2*pi*Radius of Circular Waveguide)
fc,TE11 = ([c]*1.841)/(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 TE11 - (Measured in Hertz) - The Cut-off Frequency Circular Waveguide TE11 mode refers to the lowest frequency at which this particular 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,TE11 = ([c]*1.841)/(2*pi*Rcircular) --> ([c]*1.841)/(2*pi*0.1)
Evaluating ... ...
fc,TE11 = 878404643.815521
STEP 3: Convert Result to Output's Unit
878404643.815521 Hertz -->878.404643815521 Megahertz (Check conversion ​here)
FINAL ANSWER
878.404643815521 878.4046 Megahertz <-- Cut-off Frequency Circular Waveguide TE11
(Calculation completed in 00.004 seconds)

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Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode Formula

​LaTeX ​Go
Cut-off Frequency Circular Waveguide TE11 = ([c]*1.841)/(2*pi*Radius of Circular Waveguide)
fc,TE11 = ([c]*1.841)/(2*pi*Rcircular)

What is the significance of cut-off frequency of circular waveguide in transverse electric 11 mode ?

The TE11 mode cut-off frequency in a circular waveguide is important since it is a key parameter that affects waveguide behavior. The lower bound for the TE11 mode's effective propagation is indicated by this frequency. Identifying and managing the cut-off frequency is essential for creating waveguides for uses such as microwave communication. It directs us in choosing the right proportions to guarantee the best possible signal transmission. The cut-off frequency is a crucial factor in the design and development of electromagnetic wave-based technologies since it fundamentally dictates the waveguide's performance characteristics and operational range.

How to Calculate Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode?

Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode calculator uses Cut-off Frequency Circular Waveguide TE11 = ([c]*1.841)/(2*pi*Radius of Circular Waveguide) to calculate the Cut-off Frequency Circular Waveguide TE11, The Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode is the lowest frequency supporting this fundamental mode, vital for designing effective communication systems. Cut-off Frequency Circular Waveguide TE11 is denoted by fc,TE11 symbol.

How to calculate Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode using this online calculator? To use this online calculator for Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode, enter Radius of Circular Waveguide (Rcircular) and hit the calculate button. Here is how the Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode calculation can be explained with given input values -> 0.000878 = ([c]*1.841)/(2*pi*0.1).

FAQ

What is Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode?
The Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode is the lowest frequency supporting this fundamental mode, vital for designing effective communication systems and is represented as fc,TE11 = ([c]*1.841)/(2*pi*Rcircular) or Cut-off Frequency Circular Waveguide TE11 = ([c]*1.841)/(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 Electric 11 Mode?
The Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode is the lowest frequency supporting this fundamental mode, vital for designing effective communication systems is calculated using Cut-off Frequency Circular Waveguide TE11 = ([c]*1.841)/(2*pi*Radius of Circular Waveguide). To calculate Cut-off Frequency of Circular Waveguide in Transverse Electric 11 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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