FormulaDen.com

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

Total Energy Stored in Resonator Formula

Fx Copy

LaTeX Copy

Total Energy Stored in Resonator refers to the sum of all forms of energy contained within the resonant system.It is any physical or mathematical system that exhibits resonance. Check FAQs

W e = \int ((\frac{ε m}{2} \cdot E^{2}) \cdot x, x, 0, V r)

W_e - Total Energy Stored in Resonator?ε_m - Permittivity of Medium?E - Electric Field Intensity?V_r - Resonator Volume?

Total Energy Stored in Resonator Example

With values

With units

Only example

Here is how the Total Energy Stored in Resonator equation looks like with Values.

Here is how the Total Energy Stored in Resonator equation looks like with Units.

Here is how the Total Energy Stored in Resonator equation looks like.

0.0005 = \int ((\frac{0.0532}{2} \cdot {8.97}^{2}) \cdot x, x, 0, 22.4)

0.0005J = \int ((\frac{0.0532μF/m}{2} \cdot {8.97V/m}^{2}) \cdot x, x, 0, 22.4m³)

0.0005 = \int ((\frac{0.0532}{2} \cdot {8.97}^{2}) \cdot x, x, 0, 22.4)

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 Total Energy Stored in Resonator

Total Energy Stored in Resonator Solution

Follow our step by step solution on how to calculate Total Energy Stored in Resonator?

FIRST Step Consider the formula

W e = \int ((\frac{ε m}{2} \cdot E^{2}) \cdot x, x, 0, V r)

Next Step Substitute values of Variables

∴

W e = \int ((\frac{0.0532μF/m}{2} \cdot {8.97V/m}^{2}) \cdot x, x, 0, 22.4m³)

Next Step Convert Units

∴

W e = \int ((\frac{5.3E-8F/m}{2} \cdot {8.97V/m}^{2}) \cdot x, x, 0, 22.4m³)

Next Step Prepare to Evaluate

∴

W e = \int ((\frac{5.3E-8}{2} \cdot {8.97}^{2}) \cdot x, x, 0, 22.4)

Next Step Evaluate

∴

W e = 0.0005369484137472J

LAST Step Rounding Answer

∴

W e = 0.0005J

Total Energy Stored in Resonator Formula Elements

Variables

Functions

Total Energy Stored in Resonator

Total Energy Stored in Resonator refers to the sum of all forms of energy contained within the resonant system.It is any physical or mathematical system that exhibits resonance.

Symbol: W_e

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Total Energy Stored in Resonator

Permittivity of Medium

Permittivity of Medium is a physical quantity that describes how much electric field is allowed to pass through the medium.

Symbol: ε_m

Measurement: PermittivityUnit: μF/m

Note: Value should be greater than 0.

Formulas to find Permittivity of Medium

Electric Field Intensity

Electric Field Intensity is defined as the force experienced by a unit positive test charge placed at that point.

Symbol: E

Measurement: Electric Field StrengthUnit: V/m

Note: Value should be greater than 0.

Formulas to find Electric Field Intensity

Resonator Volume

Resonator Volume refers to the physical space inside the resonating chamber. This chamber is designed to amplify and resonate sound waves, producing a specific tone or frequency.

Symbol: V_r

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Resonator Volume

int

The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis.

Syntax: int(expr, arg, from, to)

Other formulas in Beam Tube category

Go Skin Depth

δ = \sqrt{\frac{ρ}{π \cdot μ r \cdot f}}

Go Power Generated in Anode Circuit

P gen = P dc \cdot η e

Go Rectangular Microwave Pulse Peak Power

P pk = \frac{P avg}{D}

Go Carrier Frequency in Spectral Line

f c = f sl - N s \cdot f r

How to Evaluate Total Energy Stored in Resonator?

Total Energy Stored in Resonator evaluator uses Total Energy Stored in Resonator = int((Permittivity of Medium/2*Electric Field Intensity^2)*x,x,0,Resonator Volume) to evaluate the Total Energy Stored in Resonator, The Total Energy Stored in Resonator formula is defined as sum of all forms of energy contained within the resonant system. A resonator is any physical or mathematical system that exhibits resonance, meaning it can store energy at particular frequencies or wavelengths. Total Energy Stored in Resonator is denoted by W_e symbol.

How to evaluate Total Energy Stored in Resonator using this online evaluator? To use this online evaluator for Total Energy Stored in Resonator, enter Permittivity of Medium (ε_m), Electric Field Intensity (E) & Resonator Volume (V_r) and hit the calculate button.

FAQs on Total Energy Stored in Resonator

What is the formula to find Total Energy Stored in Resonator?

The formula of Total Energy Stored in Resonator is expressed as Total Energy Stored in Resonator = int((Permittivity of Medium/2*Electric Field Intensity^2)*x,x,0,Resonator Volume). Here is an example- 0.000537 = int((5.32E-08/2*8.97^2)*x,x,0,22.4).

How to calculate Total Energy Stored in Resonator?

With Permittivity of Medium (ε_m), Electric Field Intensity (E) & Resonator Volume (V_r) we can find Total Energy Stored in Resonator using the formula - Total Energy Stored in Resonator = int((Permittivity of Medium/2*Electric Field Intensity^2)*x,x,0,Resonator Volume). This formula also uses Definite Integral (int) function(s).

Can the Total Energy Stored in Resonator be negative?

No, the Total Energy Stored in Resonator, measured in Energy cannot be negative.

Which unit is used to measure Total Energy Stored in Resonator?

Total Energy Stored in Resonator is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Total Energy Stored in Resonator can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Total Energy Stored in Resonator Formula

Total Energy Stored in Resonator Example

Total Energy Stored in Resonator Solution

Total Energy Stored in Resonator Formula Elements

Other formulas in Beam Tube category

How to Evaluate Total Energy Stored in Resonator?

FAQs on Total Energy Stored in Resonator

Variable Name