Resonant Angular Frequency given Q-External Calculator

✖Loaded Conductance is a measure of the ease with which a load, such as a circuit or a device, can conduct an electric current.ⓘ Loaded Conductance [G_L]			+10% -10%
✖External Q-factor is a measure of the energy stored per cycle in a resonant circuit or device, relative to the energy lost per cycle due to all forms of dissipation.ⓘ External Q-Factor [Q_ext]			+10% -10%
✖Capacitance at Vane Tips is defined as the ratio of the amount of electric charge stored on a conductor to a difference in electric potential at the vane tips.ⓘ Capacitance at Vane Tips [C_v]			+10% -10%

✖Resonant Angular Frequency is the frequency at which a resonant system vibrates with maximum amplitude when it is excited by an external force, expressed in radians per second.ⓘ Resonant Angular Frequency given Q-External [ω_o]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Microwave Tubes and Circuits Formula PDF PDF Image

Resonant Angular Frequency given Q-External Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resonant Angular Frequency = (Loaded Conductance*External Q-Factor)/Capacitance at Vane Tips
ω_o = (G_L*Q_ext)/C_v
This formula uses 4 Variables

Variables Used

Resonant Angular Frequency - (Measured in Radian per Second) - Resonant Angular Frequency is the frequency at which a resonant system vibrates with maximum amplitude when it is excited by an external force, expressed in radians per second.
Loaded Conductance - (Measured in Siemens) - Loaded Conductance is a measure of the ease with which a load, such as a circuit or a device, can conduct an electric current.
External Q-Factor - External Q-factor is a measure of the energy stored per cycle in a resonant circuit or device, relative to the energy lost per cycle due to all forms of dissipation.
Capacitance at Vane Tips - (Measured in Farad) - Capacitance at Vane Tips is defined as the ratio of the amount of electric charge stored on a conductor to a difference in electric potential at the vane tips.

STEP 1: Convert Input(s) to Base Unit

Loaded Conductance: 2.5E-05 Siemens --> 2.5E-05 Siemens No Conversion Required
External Q-Factor: 5500 --> No Conversion Required
Capacitance at Vane Tips: 2.5 Picofarad --> 2.5E-12 Farad (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_o = (G_L*Q_ext)/C_v --> (2.5E-05*5500)/2.5E-12

Evaluating ... ...

ω_o = 55000000000

STEP 3: Convert Result to Output's Unit

55000000000 Radian per Second --> No Conversion Required

FINAL ANSWER

55000000000 ≈ 5.5E+10 Radian per Second <-- Resonant Angular Frequency

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Electronics » Microwave Theory » Microwave Tubes and Circuits » Q Factor » Resonant Angular Frequency given Q-External

Credits

Created by Simran Shravan Nishad

Sinhgad College Of Engineering (SCOE), Pune

Simran Shravan Nishad has created this Calculator and 25+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< Q Factor Calculators

Q-Factor of Loaded Catcher Cavity

LaTeX Go Q Factor of Loaded Catcher Cavity = (1/Q Factor of Catcher Wall)+(1/Q Factor of Beam Loading)+(1/Q Factor of External Load)

Q-Factor of Catcher Wall

LaTeX Go Q Factor of Catcher Wall = 1/(Q Factor of Loaded Catcher Cavity-(1/Q Factor of Beam Loading)-(1/Q Factor of External Load))

Q-Factor of Beam Loading

LaTeX Go Q Factor of Beam Loading = 1/(Q Factor of Loaded Catcher Cavity-(1/Q Factor of Catcher Wall)-(1/Q Factor of External Load))

Quality Factor of Cavity Resonator

LaTeX Go Q factor of Cavity Resonator = Resonant Frequency/(Frequency 2-Frequency 1)

Resonant Angular Frequency given Q-External Formula

LaTeX Go

Resonant Angular Frequency = (Loaded Conductance*External Q-Factor)/Capacitance at Vane Tips
ω_o = (G_L*Q_ext)/C_v

What happens when driving frequency becomes equal to resonant angular frequency ?

When the driving frequency matches the resonant angular frequency, the amplitude of the oscillations can become very large.

How to Calculate Resonant Angular Frequency given Q-External?

Resonant Angular Frequency given Q-External calculator uses Resonant Angular Frequency = (Loaded Conductance*External Q-Factor)/Capacitance at Vane Tips to calculate the Resonant Angular Frequency, Resonant Angular Frequency given Q-External represents the natural frequency at which a system oscillates when it is disturbed or subjected to an external force. Resonant Angular Frequency is denoted by ω_o symbol.

How to calculate Resonant Angular Frequency given Q-External using this online calculator? To use this online calculator for Resonant Angular Frequency given Q-External, enter Loaded Conductance (G_L), External Q-Factor (Q_ext) & Capacitance at Vane Tips (C_v) and hit the calculate button. Here is how the Resonant Angular Frequency given Q-External calculation can be explained with given input values -> 5.5E+10 = (2.5E-05*5500)/2.5E-12.

FAQ

What is Resonant Angular Frequency given Q-External?

Resonant Angular Frequency given Q-External represents the natural frequency at which a system oscillates when it is disturbed or subjected to an external force and is represented as ω_o = (G_L*Q_ext)/C_v or Resonant Angular Frequency = (Loaded Conductance*External Q-Factor)/Capacitance at Vane Tips. Loaded Conductance is a measure of the ease with which a load, such as a circuit or a device, can conduct an electric current, External Q-factor is a measure of the energy stored per cycle in a resonant circuit or device, relative to the energy lost per cycle due to all forms of dissipation & Capacitance at Vane Tips is defined as the ratio of the amount of electric charge stored on a conductor to a difference in electric potential at the vane tips.

How to calculate Resonant Angular Frequency given Q-External?

Resonant Angular Frequency given Q-External represents the natural frequency at which a system oscillates when it is disturbed or subjected to an external force is calculated using Resonant Angular Frequency = (Loaded Conductance*External Q-Factor)/Capacitance at Vane Tips. To calculate Resonant Angular Frequency given Q-External, you need Loaded Conductance (G_L), External Q-Factor (Q_ext) & Capacitance at Vane Tips (C_v). With our tool, you need to enter the respective value for Loaded Conductance, External Q-Factor & Capacitance at Vane Tips and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search