Dielectric Loss due to Heating in Cables Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dielectric Loss = Angular Frequency*Capacitance*Voltage^2*tan(Loss Angle)
Df = ω*C*V^2*tan(∠δ)
This formula uses 1 Functions, 5 Variables
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
Variables Used
Dielectric Loss - (Measured in Watt) - Dielectric Loss is loss of energy that goes into heating a dielectric material in a varying electric field.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Capacitance - (Measured in Farad) - Capacitance is defined as the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Voltage - (Measured in Volt) - Voltage, electric potential difference, electric pressure, is the difference in electric potential between two points.
Loss Angle - (Measured in Radian) - Loss Angle is defined as measure of the power loss is equal to the amount by which the angle between the phasors denoting voltage and current across the inductor or capacitor differs.
STEP 1: Convert Input(s) to Base Unit
Angular Frequency: 10 Radian per Second --> 10 Radian per Second No Conversion Required
Capacitance: 2.8 Millifarad --> 0.0028 Farad (Check conversion ​here)
Voltage: 120 Volt --> 120 Volt No Conversion Required
Loss Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Df = ω*C*V^2*tan(∠δ) --> 10*0.0028*120^2*tan(0.5235987755982)
Evaluating ... ...
Df = 232.787628537257
STEP 3: Convert Result to Output's Unit
232.787628537257 Watt --> No Conversion Required
FINAL ANSWER
232.787628537257 232.7876 Watt <-- Dielectric Loss
(Calculation completed in 00.004 seconds)

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Jaipur Engineering College and Research Centre (JECRC), Jaipur
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Dielectric Loss due to Heating in Cables Formula

​LaTeX ​Go
Dielectric Loss = Angular Frequency*Capacitance*Voltage^2*tan(Loss Angle)
Df = ω*C*V^2*tan(∠δ)

What is dielectric constant?

Dielectric constant is the ratio of the absolute permittivity of the medium (ε) and the permittivity of free space.

How to Calculate Dielectric Loss due to Heating in Cables?

Dielectric Loss due to Heating in Cables calculator uses Dielectric Loss = Angular Frequency*Capacitance*Voltage^2*tan(Loss Angle) to calculate the Dielectric Loss, Dielectric Loss due to heating in cables formula is defined as the product of angular frequency, capacitance, square of voltage with tangent angle. Dielectric Loss is denoted by Df symbol.

How to calculate Dielectric Loss due to Heating in Cables using this online calculator? To use this online calculator for Dielectric Loss due to Heating in Cables, enter Angular Frequency (ω), Capacitance (C), Voltage (V) & Loss Angle (∠δ) and hit the calculate button. Here is how the Dielectric Loss due to Heating in Cables calculation can be explained with given input values -> 232.7876 = 10*0.0028*120^2*tan(0.5235987755982).

FAQ

What is Dielectric Loss due to Heating in Cables?
Dielectric Loss due to heating in cables formula is defined as the product of angular frequency, capacitance, square of voltage with tangent angle and is represented as Df = ω*C*V^2*tan(∠δ) or Dielectric Loss = Angular Frequency*Capacitance*Voltage^2*tan(Loss Angle). Angular Frequency of a steadily recurring phenomenon expressed in radians per second, Capacitance is defined as the ratio of the amount of electric charge stored on a conductor to a difference in electric potential, Voltage, electric potential difference, electric pressure, is the difference in electric potential between two points & Loss Angle is defined as measure of the power loss is equal to the amount by which the angle between the phasors denoting voltage and current across the inductor or capacitor differs.
How to calculate Dielectric Loss due to Heating in Cables?
Dielectric Loss due to heating in cables formula is defined as the product of angular frequency, capacitance, square of voltage with tangent angle is calculated using Dielectric Loss = Angular Frequency*Capacitance*Voltage^2*tan(Loss Angle). To calculate Dielectric Loss due to Heating in Cables, you need Angular Frequency (ω), Capacitance (C), Voltage (V) & Loss Angle (∠δ). With our tool, you need to enter the respective value for Angular Frequency, Capacitance, Voltage & Loss Angle 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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