FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Resonant Angular Frequency given Q-External Formula

Fx Copy

LaTeX Copy

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. Check FAQs

ω o = \frac{G L \cdot Q ext}{C v}

ω_o - Resonant Angular Frequency?G_L - Loaded Conductance?Q_ext - External Q-Factor?C_v - Capacitance at Vane Tips?

Resonant Angular Frequency given Q-External Example

With values

With units

Only example

Here is how the Resonant Angular Frequency given Q-External equation looks like with Values.

Here is how the Resonant Angular Frequency given Q-External equation looks like with Units.

Here is how the Resonant Angular Frequency given Q-External equation looks like.

5.5E+10 = \frac{2.5E-5 \cdot 5500}{2.5}

5.5E+10rad/s = \frac{2.5E-5S \cdot 5500}{2.5pF}

5.5E+10 = \frac{2.5E-5 \cdot 5500}{2.5}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Microwave Theory » fx Resonant Angular Frequency given Q-External

Resonant Angular Frequency given Q-External Solution

Follow our step by step solution on how to calculate Resonant Angular Frequency given Q-External?

FIRST Step Consider the formula

ω o = \frac{G L \cdot Q ext}{C v}

Next Step Substitute values of Variables

∴

ω o = \frac{2.5E-5S \cdot 5500}{2.5pF}

Next Step Convert Units

∴

ω o = \frac{2.5E-5S \cdot 5500}{2.5E-12F}

Next Step Prepare to Evaluate

∴

ω o = \frac{2.5E-5 \cdot 5500}{2.5E-12}

Next Step Evaluate

∴

ω o = 55000000000rad/s

LAST Step Rounding Answer

∴

ω o = 5.5E+10rad/s

Resonant Angular Frequency given Q-External Formula Elements

Variables

Resonant Angular Frequency

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.

Symbol: ω_o

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Resonant Angular Frequency

Loaded Conductance

Loaded Conductance is a measure of the ease with which a load, such as a circuit or a device, can conduct an electric current.

Symbol: G_L

Measurement: Electric ConductanceUnit: S

Note: Value should be greater than 0.

Formulas to find Loaded Conductance

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.

Symbol: Q_ext

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find External Q-Factor

Capacitance at Vane Tips

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.

Symbol: C_v

Measurement: CapacitanceUnit: pF

Note: Value should be greater than 0.

Formulas to find Capacitance at Vane Tips

Other formulas in Q Factor category

Go Q-Factor of Loaded Catcher Cavity

Q L = (\frac{1}{Q o}) + (\frac{1}{Q b}) + (\frac{1}{Q el})

Go Quality Factor of Cavity Resonator

Q c = \frac{ω r}{f 2 - f 1}

Go Q-Factor of Catcher Wall

Q o = \frac{1}{Q L - (\frac{1}{Q b}) - (\frac{1}{Q el})}

Go Q-Factor of Beam Loading

Q b = \frac{1}{Q L - (\frac{1}{Q o}) - (\frac{1}{Q el})}

How to Evaluate Resonant Angular Frequency given Q-External?

Resonant Angular Frequency given Q-External evaluator uses Resonant Angular Frequency = (Loaded Conductance*External Q-Factor)/Capacitance at Vane Tips to evaluate 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 evaluate Resonant Angular Frequency given Q-External using this online evaluator? To use this online evaluator 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.

FAQs on Resonant Angular Frequency given Q-External

What is the formula to find Resonant Angular Frequency given Q-External?

The formula of Resonant Angular Frequency given Q-External is expressed as Resonant Angular Frequency = (Loaded Conductance*External Q-Factor)/Capacitance at Vane Tips. Here is an example- 5.5E+10 = (2.5E-05*5500)/2.5E-12.

How to calculate Resonant Angular Frequency given Q-External?

With Loaded Conductance (G_L), External Q-Factor (Q_ext) & Capacitance at Vane Tips (C_v) we can find Resonant Angular Frequency given Q-External using the formula - Resonant Angular Frequency = (Loaded Conductance*External Q-Factor)/Capacitance at Vane Tips.

Can the Resonant Angular Frequency given Q-External be negative?

No, the Resonant Angular Frequency given Q-External, measured in Angular Frequency cannot be negative.

Which unit is used to measure Resonant Angular Frequency given Q-External?

Resonant Angular Frequency given Q-External is usually measured using the Radian per Second[rad/s] for Angular Frequency. Degree per Second[rad/s] are the few other units in which Resonant Angular Frequency given Q-External can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Resonant Angular Frequency given Q-External Formula

Resonant Angular Frequency given Q-External Example

Resonant Angular Frequency given Q-External Solution

Resonant Angular Frequency given Q-External Formula Elements

Other formulas in Q Factor category

How to Evaluate Resonant Angular Frequency given Q-External?

FAQs on Resonant Angular Frequency given Q-External

Variable Name