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Power Loss Density Formula

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Power Density is the amount of power (time rate of energy transfer) per unit volume. Check FAQs

P d = f \cdot ε r ″ \cdot 8.85418782 \cdot 10^{- 12} \cdot F^{2}

P_d - Power Density?f - Frequency?ε_r″ - Complex Relative Permittivity?F - Electric Field Strength?

Power Loss Density Example

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With units

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Here is how the Power Loss Density equation looks like with Values.

Here is how the Power Loss Density equation looks like with Units.

Here is how the Power Loss Density equation looks like.

0.0138 = 5 \cdot 0.78 \cdot 8.85418782 \cdot 10^{- 12} \cdot 20^{2}

0.0138W/m³ = 5MHz \cdot 0.78 \cdot 8.85418782 \cdot 10^{- 12} \cdot {20V/m}^{2}

0.0138 = 5 \cdot 0.78 \cdot 8.85418782 \cdot 10^{- 12} \cdot 20^{2}

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Power Loss Density Solution

Follow our step by step solution on how to calculate Power Loss Density?

FIRST Step Consider the formula

P d = f \cdot ε r ″ \cdot 8.85418782 \cdot 10^{- 12} \cdot F^{2}

Next Step Substitute values of Variables

∴

P d = 5MHz \cdot 0.78 \cdot 8.85418782 \cdot 10^{- 12} \cdot {20V/m}^{2}

Next Step Convert Units

∴

P d = 5E+6Hz \cdot 0.78 \cdot 8.85418782 \cdot 10^{- 12} \cdot {20V/m}^{2}

Next Step Prepare to Evaluate

∴

P d = 5E+6 \cdot 0.78 \cdot 8.85418782 \cdot 10^{- 12} \cdot 20^{2}

Next Step Evaluate

∴

P d = 0.0138125329992W/m³

LAST Step Rounding Answer

∴

P d = 0.0138W/m³

Power Loss Density Formula Elements

Variables

Power Density

Power Density is the amount of power (time rate of energy transfer) per unit volume.

Symbol: P_d

Measurement: Power DensityUnit: W/m³

Note: Value should be greater than 0.

Formulas to find Power Density

Frequency

Frequency refers to the number of occurrences of a repeating event per unit of time. It is commonly measured in hertz (Hz), which represents the number of cycles or oscillations per second.

Symbol: f

Measurement: FrequencyUnit: MHz

Note: Value should be greater than 0.

Formulas to find Frequency

Complex Relative Permittivity

Complex Relative Permittivity is the imaginary part of the complex relative permittivity of the absorbing material.

Symbol: ε_r″

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Complex Relative Permittivity

Electric Field Strength

Electric Field Strength is the physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them.

Symbol: F

Measurement: Electric Field StrengthUnit: V/m

Note: Value should be greater than 0.

Formulas to find Electric Field Strength

Other formulas in Dielectric Heating category

Go Loss Tangent

tan δ = \frac{X c}{R}

Go Net Resistance

R = \frac{X c}{tan δ}

Go Dielectric Loss

P l = \frac{V^{2}}{2 \cdot X c} \cdot \sin (2 \cdot Φ)

Go Thickness of Dielectric

t d = \frac{ε r \cdot 8.85 \cdot 10^{- 12} \cdot A}{4 \cdot π \cdot C d}

How to Evaluate Power Loss Density?

Power Loss Density evaluator uses Power Density = Frequency*Complex Relative Permittivity*8.85418782*10^-12*Electric Field Strength^2 to evaluate the Power Density, The Power Loss Density formula shows that the amount of reaction substances affects power dissipation during the reaction process. Power Density is denoted by P_d symbol.

How to evaluate Power Loss Density using this online evaluator? To use this online evaluator for Power Loss Density, enter Frequency (f), Complex Relative Permittivity (ε_r″) & Electric Field Strength (F) and hit the calculate button.

FAQs on Power Loss Density

What is the formula to find Power Loss Density?

The formula of Power Loss Density is expressed as Power Density = Frequency*Complex Relative Permittivity*8.85418782*10^-12*Electric Field Strength^2. Here is an example- 0.013813 = 5000000*0.78*8.85418782*10^-12*20^2.

How to calculate Power Loss Density?

With Frequency (f), Complex Relative Permittivity (ε_r″) & Electric Field Strength (F) we can find Power Loss Density using the formula - Power Density = Frequency*Complex Relative Permittivity*8.85418782*10^-12*Electric Field Strength^2.

Can the Power Loss Density be negative?

No, the Power Loss Density, measured in Power Density cannot be negative.

Which unit is used to measure Power Loss Density?

Power Loss Density is usually measured using the Watt Per Cubic Meter[W/m³] for Power Density. Horsepower Per Litre[W/m³], Decawatt Per Cubic Meter[W/m³], Gigawatt Per Cubic Meter[W/m³] are the few other units in which Power Loss Density can be measured.

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Power Loss Density Formula

Power Loss Density Example

Power Loss Density Solution

Power Loss Density Formula Elements

Other formulas in Dielectric Heating category

How to Evaluate Power Loss Density?

FAQs on Power Loss Density

Variable Name