Power Loss Density Calculator

✖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.ⓘ Frequency [f]			+10% -10%
✖Complex Relative Permittivity is the imaginary part of the complex relative permittivity of the absorbing material.ⓘ Complex Relative Permittivity [ε_r″]			+10% -10%
✖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.ⓘ Electric Field Strength [F]			+10% -10%

✖Power Density is the amount of power (time rate of energy transfer) per unit volume.ⓘ Power Loss Density [P_d]

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Formula

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Power Loss Density

Formula

`"P"_{"d"} = "f"*("ε"_{"r"}"″")*8.85418782*10^-12*"F"^2`

Example

`"0.013813W/m³"="5MHz"*"0.78"*8.85418782*10^-12*("20V/m")^2`

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Power Loss Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Density = Frequency*Complex Relative Permittivity*8.85418782*10^-12*Electric Field Strength^2
P_d = f*ε_r″*8.85418782*10^-12*F^2
This formula uses 4 Variables

Variables Used

Power Density - (Measured in Watt Per Cubic Meter) - Power Density is the amount of power (time rate of energy transfer) per unit volume.
Frequency - (Measured in Hertz) - 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.
Complex Relative Permittivity - Complex Relative Permittivity is the imaginary part of the complex relative permittivity of the absorbing material.
Electric Field Strength - (Measured in Volt per Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Frequency: 5 Megahertz --> 5000000 Hertz (Check conversion here)
Complex Relative Permittivity: 0.78 --> No Conversion Required
Electric Field Strength: 20 Volt per Meter --> 20 Volt per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_d = f*ε_r″*8.85418782*10^-12*F^2 --> 5000000*0.78*8.85418782*10^-12*20^2

Evaluating ... ...

P_d = 0.0138125329992

STEP 3: Convert Result to Output's Unit

0.0138125329992 Watt Per Cubic Meter --> No Conversion Required

FINAL ANSWER

0.0138125329992 ≈ 0.013813 Watt Per Cubic Meter <-- Power Density

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology,Roorlee (IITR), Roorkee

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< 6 Dielectric Heating Calculators

Thickness of Dielectric

Go Thickness of Dielectric = (Relative Permittivity*8.85*10^-12*Surface Area)/(4*pi*Capacitance of Dielectric)

Capacitance Dielectric

Go Capacitance of Dielectric = (Relative Permittivity*8.85*10^-12*Surface Area)/(4*pi*Thickness of Dielectric)

Dielectric Loss

Go Power Loss = Voltage^2/(2*Capacitive Reactance)*sin(2*Phase Difference)

Power Loss Density

Go Power Density = Frequency*Complex Relative Permittivity*8.85418782*10^-12*Electric Field Strength^2

Net Resistance

Go Resistance = Capacitive Reactance/Loss Tangent

Loss Tangent

Go Loss Tangent = Capacitive Reactance/Resistance

Power Loss Density Formula

Power Density = Frequency*Complex Relative Permittivity*8.85418782*10^-12*Electric Field Strength^2
P_d = f*ε_r″*8.85418782*10^-12*F^2

Can permittivity be imaginary?

For an ideal dielectric material, ε is a real number, but in practice for any dielectric material, there is also an imaginary component that is associated with the dielectric loss because of the poor conductivity of the material. Therefore, ε is called the absolute complex permittivity, which is also denoted by ε* and describes the total interaction of the dielectric materials with the variable electrical field.

How to Calculate Power Loss Density?

Power Loss Density calculator uses Power Density = Frequency*Complex Relative Permittivity*8.85418782*10^-12*Electric Field Strength^2 to calculate 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 calculate Power Loss Density using this online calculator? To use this online calculator for Power Loss Density, enter Frequency (f), Complex Relative Permittivity (ε_r″) & Electric Field Strength (F) and hit the calculate button. Here is how the Power Loss Density calculation can be explained with given input values -> 0.013813 = 5000000*0.78*8.85418782*10^-12*20^2.

FAQ

What is Power Loss Density?

The Power Loss Density formula shows that the amount of reaction substances affects power dissipation during the reaction process and is represented as P_d = f*ε_r″*8.85418782*10^-12*F^2 or Power Density = Frequency*Complex Relative Permittivity*8.85418782*10^-12*Electric Field Strength^2. 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, Complex Relative Permittivity is the imaginary part of the complex relative permittivity of the absorbing material & 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.

How to calculate Power Loss Density?

The Power Loss Density formula shows that the amount of reaction substances affects power dissipation during the reaction process is calculated using Power Density = Frequency*Complex Relative Permittivity*8.85418782*10^-12*Electric Field Strength^2. To calculate Power Loss Density, you need Frequency (f), Complex Relative Permittivity (ε_r″) & Electric Field Strength (F). With our tool, you need to enter the respective value for Frequency, Complex Relative Permittivity & Electric Field Strength 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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