Maximum Stored Energy Calculator

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✖Quality Factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is.ⓘ Quality Factor [Q]			+10% -10%
✖Average Power Loss are wasteful energy caused by external factors or internal factors, and energy dissipated in the system.ⓘ Average Power Loss [P_avg]			+10% -10%
✖Angular Frequency is a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω₀]			+10% -10%

✖Maximum Stored Energy refers to significant amounts of potential energy accumulated and confined within a medium, which can have damaging environmental impacts if released suddenly.ⓘ Maximum Stored Energy [E_max]

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Maximum Stored Energy

Formula

`"E"_{"max"} = ("Q"*"P"_{"avg"})/"ω"_{"0"}`

Example

`"0.48J"=("6.9"*"0.4W")/"5.75rad/s"`

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Maximum Stored Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Stored Energy = (Quality Factor*Average Power Loss)/Angular Frequency
E_max = (Q*P_avg)/ω₀
This formula uses 4 Variables

Variables Used

Maximum Stored Energy - (Measured in Joule) - Maximum Stored Energy refers to significant amounts of potential energy accumulated and confined within a medium, which can have damaging environmental impacts if released suddenly.
Quality Factor - Quality Factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is.
Average Power Loss - (Measured in Watt) - Average Power Loss are wasteful energy caused by external factors or internal factors, and energy dissipated in the system.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency is a steadily recurring phenomenon expressed in radians per second.

STEP 1: Convert Input(s) to Base Unit

Quality Factor: 6.9 --> No Conversion Required
Average Power Loss: 0.4 Watt --> 0.4 Watt No Conversion Required
Angular Frequency: 5.75 Radian per Second --> 5.75 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_max = (Q*P_avg)/ω₀ --> (6.9*0.4)/5.75

Evaluating ... ...

E_max = 0.48

STEP 3: Convert Result to Output's Unit

0.48 Joule --> No Conversion Required

FINAL ANSWER

0.48 Joule <-- Maximum Stored Energy

(Calculation completed in 00.004 seconds)

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Created by Sai Sudha Vani Priya Lanka

Dayananda Sagar University (DSU), Bengaluru, Karnataka, India-560100

Sai Sudha Vani Priya Lanka has created this Calculator and 10+ more calculators!

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< 17 Microwave Devices Calculators

Propagation Constant

Go Propagation Constant = Angular Frequency*(sqrt(Magnetic Permeability*Dielectric Permittivity))*(sqrt(1-((Cut-off Frequency/Frequency)^2)))

Attenuation for TEmn mode

Go Attenuation for the TEmn mode = (Conductivity*Intrinsic Impedance)/(2*sqrt(1-((Cut-off Frequency)/(Frequency))^2))

Attenuation for TMmn mode

Go Attenuation for the TMmn mode = ((Conductivity*Intrinsic Impedance)/2)*sqrt(1-(Cut-off Frequency/Frequency)^2)

Cut-off Frequency of Rectangular Waveguide

Go Cut-off Frequency = (1/(2*pi*sqrt(Magnetic Permeability*Dielectric Permittivity)))*Cut-off Wave Number

Surface Resistance of Guide Walls

Go Surface Resistance = sqrt((pi*Frequency*Magnetic Permeability)/(Conductivity))

Power Density of Spherical Wave

Go Power Density = (Power Transmitted*Transmitting Gain)/(4*pi*Distance between Antennas)

Wavelength for TEmn Modes

Go Wavelength for TEmn modes = (Wavelength)/(sqrt(1-(Cut-off Frequency/Frequency)^2))

Force Exerted on Particle

Go Force Exerted on Particle = (Charge of a Particle*Velocity of a Charged Particle)*Magnetic Flux Density

Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode

Go Cut-off Frequency Circular Waveguide TE11 = ([c]*1.841)/(2*pi*Radius of Circular Waveguide)

Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode

Go Cut-off Frequency Circular Waveguide TM01 = ([c]*2.405)/(2*pi*Radius of Circular Waveguide)

Characteristic Wave Impedance

Go Characteristic Wave Impedance = (Angular Frequency*Magnetic Permeability)/(Phase Constant)

Quality Factor

Go Quality Factor = (Angular Frequency*Maximum Stored Energy)/(Average Power Loss)

Maximum Stored Energy

Go Maximum Stored Energy = (Quality Factor*Average Power Loss)/Angular Frequency

Power Received by Antenna

Go Power Received by Antenna = Power Density of Antenna*Effective Area Antenna

Power Losses for TEM Mode

Go Power Losses for the TEM Mode = 2*Attenuation Constant*Transmitting Power

Critical Frequency for Vertical Incidence

Go Critical Frequency = 9*sqrt(Maximum Electron Density)

Phase Velocity of Rectangular Waveguide

Go Phase Velocity = Angular Frequency/Phase Constant

Maximum Stored Energy Formula

Maximum Stored Energy = (Quality Factor*Average Power Loss)/Angular Frequency
E_max = (Q*P_avg)/ω₀

Is permeability and permittivity associated with intrinsic impedance in a lossless medium?

As there is no phase angle associated with intrinsic impedance in a lossless medium, the electric and magnetic fields are in phase with each other. The intrinsic impedance is a parameter that represents the characteristics of the medium of propagation in wireless communication systems.

How to Calculate Maximum Stored Energy?

Maximum Stored Energy calculator uses Maximum Stored Energy = (Quality Factor*Average Power Loss)/Angular Frequency to calculate the Maximum Stored Energy, Maximum Stored Energy refers to the maximum amount of electromagnetic energy that can be stored within the device's resonant cavity or other components. Maximum Stored Energy is denoted by E_max symbol.

How to calculate Maximum Stored Energy using this online calculator? To use this online calculator for Maximum Stored Energy, enter Quality Factor (Q), Average Power Loss (P_avg) & Angular Frequency (ω₀) and hit the calculate button. Here is how the Maximum Stored Energy calculation can be explained with given input values -> 0.48 = (6.9*0.4)/5.75.

FAQ

What is Maximum Stored Energy?

Maximum Stored Energy refers to the maximum amount of electromagnetic energy that can be stored within the device's resonant cavity or other components and is represented as E_max = (Q*P_avg)/ω₀ or Maximum Stored Energy = (Quality Factor*Average Power Loss)/Angular Frequency. Quality Factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is, Average Power Loss are wasteful energy caused by external factors or internal factors, and energy dissipated in the system & Angular Frequency is a steadily recurring phenomenon expressed in radians per second.

How to calculate Maximum Stored Energy?

Maximum Stored Energy refers to the maximum amount of electromagnetic energy that can be stored within the device's resonant cavity or other components is calculated using Maximum Stored Energy = (Quality Factor*Average Power Loss)/Angular Frequency. To calculate Maximum Stored Energy, you need Quality Factor (Q), Average Power Loss (P_avg) & Angular Frequency (ω₀). With our tool, you need to enter the respective value for Quality Factor, Average Power Loss & Angular Frequency 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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