Dissipation of Energy Calculator

✖The Incident Voltage on the transmission line is equal to half the generator voltage.ⓘ Incident Voltage [V_i]			+10% -10%
✖Incident Current is the Current wave that is traveling from the sending end to the receiving end of the Transmission line during any transient condition.ⓘ Incident Current [I_i]			+10% -10%
✖Required Time is the time required for 1 coulomb of charge to move from one point to the other.ⓘ Required Time [t₂]			+10% -10%

✖Dissipation of Energy is defined as the power loss in which the energy that is converted into non-useful forms, usually heat.ⓘ Dissipation of Energy [E_d]

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Formula

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Dissipation of Energy

Formula

`"E"_{"d"} = int("V"_{"i"}*"I"_{"i"}*x,x,0,"t"_{"2"})`

Example

`"324J"=int("6V"*"12A"*x,x,0,"3s")`

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Dissipation of Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dissipation of Energy = int(Incident Voltage*Incident Current*x,x,0,Required Time)
E_d = int(V_i*I_i*x,x,0,t₂)
This formula uses 1 Functions, 4 Variables

Functions Used

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., int(expr, arg, from, to)

Variables Used

Dissipation of Energy - (Measured in Joule) - Dissipation of Energy is defined as the power loss in which the energy that is converted into non-useful forms, usually heat.
Incident Voltage - (Measured in Volt) - The Incident Voltage on the transmission line is equal to half the generator voltage.
Incident Current - (Measured in Ampere) - Incident Current is the Current wave that is traveling from the sending end to the receiving end of the Transmission line during any transient condition.
Required Time - (Measured in Second) - Required Time is the time required for 1 coulomb of charge to move from one point to the other.

STEP 1: Convert Input(s) to Base Unit

Incident Voltage: 6 Volt --> 6 Volt No Conversion Required
Incident Current: 12 Ampere --> 12 Ampere No Conversion Required
Required Time: 3 Second --> 3 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_d = int(V_i*I_i*x,x,0,t₂) --> int(6*12*x,x,0,3)

Evaluating ... ...

E_d = 324

STEP 3: Convert Result to Output's Unit

324 Joule --> No Conversion Required

FINAL ANSWER

324 Joule <-- Dissipation of Energy

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Transmission Lines » Transient » Dissipation of Energy

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Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

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Verified by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

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< 25 Transient Calculators

Reflected Coefficient of Voltage (Line PL)

Go Reflection Coefficient of Voltage = ((2/Impedance of Primary Winding)/((1/Impedance of Primary Winding)+(1/Impedance of Secondary Winding)+(1/Impedance of Tertiary Winding)))-1

Incident Voltage using Reflected Voltage

Go Incident Voltage = Reflected Voltage*(Load Impedance+Characteristic Impedance)/(Load Impedance-Characteristic Impedance)

Reflected Voltage using Load Impedance

Go Reflected Voltage = Incident Voltage*(Load Impedance-Characteristic Impedance)/(Load Impedance+Characteristic Impedance)

Load Impedance using Reflected Current

Go Load Impedance = Characteristic Impedance*(Incident Voltage+Reflected Voltage)/(Reflected Voltage-Incident Voltage)

Incident Voltage using Transmitted Coefficient of Current-2 (Line PL)

Go Incident Voltage = Transmitted Voltage*Impedance of Primary Winding/(Transmission Coefficient of Current*Impedance of Secondary Winding)

Characteristic Impedance using Transmitted Current

Go Characteristic Impedance = Load Impedance*(2*Incident Current-Transmitted Current)/Transmitted Current

Load Impedance using Reflected Coefficient of Current

Go Load Impedance = Characteristic Impedance*(1-Reflection Coefficient of Current)/(Reflection Coefficient of Current-1)

Load Impedance using Reflected Coefficient of Voltage

Go Load Impedance = Characteristic Impedance*(Reflection Coefficient of Voltage+1)/(1-Reflection Coefficient of Voltage)

Transmission Coefficient for Current

Go Transmission Coefficient of Current = Transmitted Current/Incident Current

Transmission Coefficient for Voltage

Go Transmission Coefficient of Voltage = Transmitted Voltage/Incident Voltage

Impedance-3 using Transmitted Current-3 (Line PL)

Go Impedance of Tertiary Winding = Transmitted Voltage/Transmitted Current

Reflected Voltage using Reflection Coefficient of Voltage

Go Reflected Voltage = Reflection Coefficient of Voltage*Incident Voltage

Reflection Coefficient for Voltage

Go Reflection Coefficient of Voltage = Reflected Voltage/Incident Voltage

Reflection Coefficient for Current

Go Reflection Coefficient of Current = Reflected Current/Incident Current

Reflected Current for Refracted Wave

Go Reflected Current = (-1)*Reflected Voltage/Characteristic Impedance

Reflected Voltage for Refracted Wave

Go Reflected Voltage = (-1)*Reflected Current*Characteristic Impedance

Characteristic Impedance (Line SC)

Go Characteristic Impedance = Incident Voltage/Incident Current

Incident Current for Incident Wave

Go Incident Current = Incident Voltage/Characteristic Impedance

Incident Voltage of Incident Wave

Go Incident Voltage = Incident Current*Characteristic Impedance

Incident Current using Reflected and Transmitted Current

Go Incident Current = Transmitted Current-Reflected Current

Incident Voltage using Reflected and Transmitted Voltage

Go Incident Voltage = Transmitted Voltage-Reflected Voltage

Reflected Voltage using Incident and Transmitted Voltage

Go Reflected Voltage = Transmitted Voltage-Incident Voltage

Transmitted Current Transmitted Wave

Go Transmitted Current = Transmitted Voltage/Load Impedance

Reflected Voltage (Line OC)

Go Reflected Voltage = (-1)*Incident Voltage

Incident Voltage using Transmitted Voltage (Load OC)

Go Incident Voltage = Transmitted Voltage/2

Dissipation of Energy Formula

Dissipation of Energy = int(Incident Voltage*Incident Current*x,x,0,Required Time)
E_d = int(V_i*I_i*x,x,0,t₂)

What is Dissipation of Energy?

Dissipation of Energy refers to the process by which energy is transformed from a useful or organized form to a more chaotic or less useful form, often in the form of heat. In various systems, energy dissipation occurs due to internal friction, resistance, or other mechanisms that convert the useful energy into less useful forms, leading to a loss of energy.

How to Calculate Dissipation of Energy?

Dissipation of Energy calculator uses Dissipation of Energy = int(Incident Voltage*Incident Current*x,x,0,Required Time) to calculate the Dissipation of Energy, The Dissipation of Energy formula is defined as the energy that is dissipated in the circuit when the product of voltage and current is passed across a circuit with respect to time. Dissipation of Energy is denoted by E_d symbol.

How to calculate Dissipation of Energy using this online calculator? To use this online calculator for Dissipation of Energy, enter Incident Voltage (V_i), Incident Current (I_i) & Required Time (t₂) and hit the calculate button. Here is how the Dissipation of Energy calculation can be explained with given input values -> 324 = int(6*12*x,x,0,3).

FAQ

What is Dissipation of Energy?

The Dissipation of Energy formula is defined as the energy that is dissipated in the circuit when the product of voltage and current is passed across a circuit with respect to time and is represented as E_d = int(V_i*I_i*x,x,0,t₂) or Dissipation of Energy = int(Incident Voltage*Incident Current*x,x,0,Required Time). The Incident Voltage on the transmission line is equal to half the generator voltage, Incident Current is the Current wave that is traveling from the sending end to the receiving end of the Transmission line during any transient condition & Required Time is the time required for 1 coulomb of charge to move from one point to the other.

How to calculate Dissipation of Energy?

The Dissipation of Energy formula is defined as the energy that is dissipated in the circuit when the product of voltage and current is passed across a circuit with respect to time is calculated using Dissipation of Energy = int(Incident Voltage*Incident Current*x,x,0,Required Time). To calculate Dissipation of Energy, you need Incident Voltage (V_i), Incident Current (I_i) & Required Time (t₂). With our tool, you need to enter the respective value for Incident Voltage, Incident Current & Required Time 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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