Resonant Frequency of Cavity Calculator

✖Q factor of Cavity Resonator is defined as the ratio of the energy stored in the resonator to the energy lost per cycle.ⓘ Q factor of Cavity Resonator [Q_c]			+10% -10%
✖Frequency 2 is the number of occurrences of a repeating event per unit of time.ⓘ Frequency 2 [f₂]			+10% -10%
✖Frequency 1 is the number of occurrences of a repeating event per unit of time.ⓘ Frequency 1 [f₁]			+10% -10%

✖Resonant frequency is the oscillation of a system at its natural or unforced resonance.ⓘ Resonant Frequency of Cavity [ω_r]

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Resonant Frequency of Cavity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resonant Frequency = Q factor of Cavity Resonator*(Frequency 2-Frequency 1)
ω_r = Q_c*(f₂-f₁)
This formula uses 4 Variables

Variables Used

Resonant Frequency - (Measured in Hertz) - Resonant frequency is the oscillation of a system at its natural or unforced resonance.
Q factor of Cavity Resonator - Q factor of Cavity Resonator is defined as the ratio of the energy stored in the resonator to the energy lost per cycle.
Frequency 2 - (Measured in Hertz) - Frequency 2 is the number of occurrences of a repeating event per unit of time.
Frequency 1 - (Measured in Hertz) - Frequency 1 is the number of occurrences of a repeating event per unit of time.

STEP 1: Convert Input(s) to Base Unit

Q factor of Cavity Resonator: 5.9 --> No Conversion Required
Frequency 2: 300 Hertz --> 300 Hertz No Conversion Required
Frequency 1: 280 Hertz --> 280 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_r = Q_c*(f₂-f₁) --> 5.9*(300-280)

Evaluating ... ...

ω_r = 118

STEP 3: Convert Result to Output's Unit

118 Hertz --> No Conversion Required

FINAL ANSWER

118 Hertz <-- Resonant Frequency

(Calculation completed in 00.004 seconds)

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Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< Klystron Calculators

Bunching Parameter of Klystron

LaTeX Go Bunching Parameter = (Beam Coupling Coefficient*Input Signal Amplitude*Angular Variation)/(2*Cathode Buncher Voltage)

Beam Loading Conductance

LaTeX Go Beam Loading Conductance = Conductance of Cavity-(Loaded Conductance+Copper Loss Conductance)

Copper Loss of Cavity

LaTeX Go Copper Loss Conductance = Conductance of Cavity-(Beam Loading Conductance+Loaded Conductance)

Cavity Conductance

LaTeX Go Conductance of Cavity = Loaded Conductance+Copper Loss Conductance+Beam Loading Conductance

Resonant Frequency of Cavity Formula

LaTeX Go

Resonant Frequency = Q factor of Cavity Resonator*(Frequency 2-Frequency 1)
ω_r = Q_c*(f₂-f₁)

What is Resonant Circuit?

An electric circuit which has very low impedance at a certain frequency. Resonant circuits are often built using an inductor, such as a coil, connected in parallel to a capacitor.

How to Calculate Resonant Frequency of Cavity?

Resonant Frequency of Cavity calculator uses Resonant Frequency = Q factor of Cavity Resonator*(Frequency 2-Frequency 1) to calculate the Resonant Frequency, The Resonant Frequency of Cavity formula is defined as the phenomenon of increased amplitude that occurs when the frequency of a periodically applied force is equal or close to a natural frequency of the system on which it acts. Resonant Frequency is denoted by ω_r symbol.

How to calculate Resonant Frequency of Cavity using this online calculator? To use this online calculator for Resonant Frequency of Cavity, enter Q factor of Cavity Resonator (Q_c), Frequency 2 (f₂) & Frequency 1 (f₁) and hit the calculate button. Here is how the Resonant Frequency of Cavity calculation can be explained with given input values -> 118 = 5.9*(300-280).

FAQ

What is Resonant Frequency of Cavity?

The Resonant Frequency of Cavity formula is defined as the phenomenon of increased amplitude that occurs when the frequency of a periodically applied force is equal or close to a natural frequency of the system on which it acts and is represented as ω_r = Q_c*(f₂-f₁) or Resonant Frequency = Q factor of Cavity Resonator*(Frequency 2-Frequency 1). Q factor of Cavity Resonator is defined as the ratio of the energy stored in the resonator to the energy lost per cycle, Frequency 2 is the number of occurrences of a repeating event per unit of time & Frequency 1 is the number of occurrences of a repeating event per unit of time.

How to calculate Resonant Frequency of Cavity?

The Resonant Frequency of Cavity formula is defined as the phenomenon of increased amplitude that occurs when the frequency of a periodically applied force is equal or close to a natural frequency of the system on which it acts is calculated using Resonant Frequency = Q factor of Cavity Resonator*(Frequency 2-Frequency 1). To calculate Resonant Frequency of Cavity, you need Q factor of Cavity Resonator (Q_c), Frequency 2 (f₂) & Frequency 1 (f₁). With our tool, you need to enter the respective value for Q factor of Cavity Resonator, Frequency 2 & Frequency 1 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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