Resonant Frequency of Cavity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resonant Frequency = Q factor of Cavity Resonator*(Frequency 2-Frequency 1)
ωr = Qc*(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
ωr = Qc*(f2-f1) --> 5.9*(300-280)
Evaluating ... ...
ωr = 118
STEP 3: Convert Result to Output's Unit
118 Hertz --> No Conversion Required
FINAL ANSWER
118 Hertz <-- Resonant Frequency
(Calculation completed in 00.020 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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13 Klystron Calculators

Width of Depletion Zone
Go Width of Depletion Region = sqrt((([Permitivity-silicon]*2)/([Charge-e]*Doping Density))*(Schottky Potential Barrier-Gate Voltage))
Mutual Conductance of Klystron Amplifier
Go Mutual Conductance of Klystron Amplifier = (2*Cathode Buncher Current*Beam Coupling Coefficient*First Order Bessel Function)/Input Signal Amplitude
Klystron Efficiency
Go Klystron Efficiency = (Beam Complex Coefficient*First Order Bessel Function)*(Catcher Gap Voltage/Cathode Buncher Voltage)
Bunching Parameter of Klystron
Go Bunching Parameter = (Beam Coupling Coefficient*Input Signal Amplitude*Angular Variation)/(2*Cathode Buncher Voltage)
Beam Loading Conductance
Go Beam Loading Conductance = Conductance of Cavity-(Loaded Conductance+Copper Loss Conductance)
Copper Loss of Cavity
Go Copper Loss Conductance = Conductance of Cavity-(Beam Loading Conductance+Loaded Conductance)
Cavity Conductance
Go Conductance of Cavity = Loaded Conductance+Copper Loss Conductance+Beam Loading Conductance
Anode Voltage
Go Anode Voltage = Power Generated in Anode Circuit/ (Anode Current*Electronic Efficiency)
Resonant Frequency of Cavity
Go Resonant Frequency = Q factor of Cavity Resonator*(Frequency 2-Frequency 1)
Input Power of Reflex Klystron
Go Reflex Klystron Input Power = Reflex Klystron Voltage*Reflex Klystron Beam Current
DC Transit Time
Go DC Transient Time = Gate Length/Saturation Drift Velocity
Power Loss in Anode Circuit
Go Power Loss = DC Power Supply*(1-Electronic Efficiency)
DC Power Supply
Go DC Power Supply = Power Loss/(1-Electronic Efficiency)

Resonant Frequency of Cavity Formula

Resonant Frequency = Q factor of Cavity Resonator*(Frequency 2-Frequency 1)
ωr = Qc*(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 ωr 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 (Qc), 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 ωr = Qc*(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 (Qc), 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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