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Average Power Loss in Resonator Formula

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Average Power Loss in Resonator can be evaluated by integrating the power density over the inner surface of the resonator. Check FAQs

P = (\frac{R s}{2}) \cdot (\int (({(H t)}^{2}) \cdot x, x, 0, r r))

P - Average Power Loss in Resonator?R_s - Surface Resistance of resonator?H_t - Tangential Magnetic Intensity Peak Value?r_r - Radius of resonator?

Average Power Loss in Resonator Example

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Here is how the Average Power Loss in Resonator equation looks like with Values.

Here is how the Average Power Loss in Resonator equation looks like with Units.

Here is how the Average Power Loss in Resonator equation looks like.

20.8 = (\frac{5.2}{2}) \cdot (\int (({(2)}^{2}) \cdot x, x, 0, 2))

20.8W = (\frac{5.2Ω}{2}) \cdot (\int (({(2A/m)}^{2}) \cdot x, x, 0, 2m))

20.8 = (\frac{5.2}{2}) \cdot (\int (({(2)}^{2}) \cdot x, x, 0, 2))

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Average Power Loss in Resonator Solution

Follow our step by step solution on how to calculate Average Power Loss in Resonator?

FIRST Step Consider the formula

P = (\frac{R s}{2}) \cdot (\int (({(H t)}^{2}) \cdot x, x, 0, r r))

Next Step Substitute values of Variables

∴

P = (\frac{5.2Ω}{2}) \cdot (\int (({(2A/m)}^{2}) \cdot x, x, 0, 2m))

Next Step Prepare to Evaluate

∴

P = (\frac{5.2}{2}) \cdot (\int (({(2)}^{2}) \cdot x, x, 0, 2))

LAST Step Evaluate

∴

P = 20.8W

Average Power Loss in Resonator Formula Elements

Variables

Functions

Average Power Loss in Resonator

Average Power Loss in Resonator can be evaluated by integrating the power density over the inner surface of the resonator.

Symbol: P

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Average Power Loss in Resonator

Surface Resistance of resonator

Surface Resistance of resonator is the ratio of applied voltage to current flowing from two electrodes.

Symbol: R_s

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Surface Resistance of resonator

Tangential Magnetic Intensity Peak Value

Tangential Magnetic Intensity Peak Value is the peak value of the tangential magnetic intensity which is a magnetic field strength.

Symbol: H_t

Measurement: Magnetic Field StrengthUnit: A/m

Note: Value should be greater than 0.

Formulas to find Tangential Magnetic Intensity Peak Value

Radius of resonator

Radius of resonator is the radius which is used to calculate the average power loss in resonator.

Symbol: r_r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of resonator

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)

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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 Average Power Loss in Resonator?

Average Power Loss in Resonator evaluator uses Average Power Loss in Resonator = (Surface Resistance of resonator/2)*(int(((Tangential Magnetic Intensity Peak Value)^2)*x,x,0,Radius of resonator)) to evaluate the Average Power Loss in Resonator, The Average Power Loss in Resonator formula refers to the amount of power dissipated or lost within the resonator over a given time period. Average Power Loss in Resonator is denoted by P symbol.

How to evaluate Average Power Loss in Resonator using this online evaluator? To use this online evaluator for Average Power Loss in Resonator, enter Surface Resistance of resonator (R_s), Tangential Magnetic Intensity Peak Value (H_t) & Radius of resonator (r_r) and hit the calculate button.

FAQs on Average Power Loss in Resonator

What is the formula to find Average Power Loss in Resonator?

The formula of Average Power Loss in Resonator is expressed as Average Power Loss in Resonator = (Surface Resistance of resonator/2)*(int(((Tangential Magnetic Intensity Peak Value)^2)*x,x,0,Radius of resonator)). Here is an example- 20.8 = (5.2/2)*(int(((2)^2)*x,x,0,2)).

How to calculate Average Power Loss in Resonator?

With Surface Resistance of resonator (R_s), Tangential Magnetic Intensity Peak Value (H_t) & Radius of resonator (r_r) we can find Average Power Loss in Resonator using the formula - Average Power Loss in Resonator = (Surface Resistance of resonator/2)*(int(((Tangential Magnetic Intensity Peak Value)^2)*x,x,0,Radius of resonator)). This formula also uses Definite Integral (int) function(s).

Can the Average Power Loss in Resonator be negative?

Yes, the Average Power Loss in Resonator, measured in Power can be negative.

Which unit is used to measure Average Power Loss in Resonator?

Average Power Loss in Resonator is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Average Power Loss in Resonator can be measured.

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Average Power Loss in Resonator Formula

Average Power Loss in Resonator Example

Average Power Loss in Resonator Solution

Average Power Loss in Resonator Formula Elements

Other formulas in Beam Tube category

How to Evaluate Average Power Loss in Resonator?

FAQs on Average Power Loss in Resonator

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