Relationship of Charge and Current Calculator

✖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%
✖Transient Initial Time refers to the beginning of a transient event in a system. Usually marks the starting point of this deviation or disturbance.ⓘ Transient Initial Time [t₁]			+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%

✖Charge Across Circuit is defined as the fundamental quantity represented by coulomb.ⓘ Relationship of Charge and Current [Q]

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Formula

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Relationship of Charge and Current

Formula

`"Q" = int("I"_{"i"}*x,x,"t"_{"1"},"t"_{"2"})`

Example

`"46.74C"=int("12A"*x,x,"1.1s","3s")`

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Relationship of Charge and Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Charge Across Circuit = int(Incident Current*x,x,Transient Initial Time,Required Time)
Q = int(I_i*x,x,t₁,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

Charge Across Circuit - (Measured in Coulomb) - Charge Across Circuit is defined as the fundamental quantity represented by coulomb.
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.
Transient Initial Time - (Measured in Second) - Transient Initial Time refers to the beginning of a transient event in a system. Usually marks the starting point of this deviation or disturbance.
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 Current: 12 Ampere --> 12 Ampere No Conversion Required
Transient Initial Time: 1.1 Second --> 1.1 Second No Conversion Required
Required Time: 3 Second --> 3 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = int(I_i*x,x,t₁,t₂) --> int(12*x,x,1.1,3)

Evaluating ... ...

Q = 46.74

STEP 3: Convert Result to Output's Unit

46.74 Coulomb --> No Conversion Required

FINAL ANSWER

46.74 Coulomb <-- Charge Across Circuit

(Calculation completed in 00.004 seconds)

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Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

Dipanjona Mallick has created this Calculator and 50+ more calculators!

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

Relationship of Charge and Current Formula

Charge Across Circuit = int(Incident Current*x,x,Transient Initial Time,Required Time)
Q = int(I_i*x,x,t₁,t₂)

Explain the Relationship Between Charge and Current?

The relationship between the Charge and Current involves Ohm's law as well as defines the concept of electric current as it is the current that involves the flow of electric charge over time. In simple terms , the amount of charge Q flows through a conductor is equal to the current multiplied by the time for which the current flows.

How to Calculate Relationship of Charge and Current?

Relationship of Charge and Current calculator uses Charge Across Circuit = int(Incident Current*x,x,Transient Initial Time,Required Time) to calculate the Charge Across Circuit, The Relationship of Charge and Current formula is the fundamental nature of electric current as the flow of electric charge in a stipulated amount of time. Charge Across Circuit is denoted by Q symbol.

How to calculate Relationship of Charge and Current using this online calculator? To use this online calculator for Relationship of Charge and Current, enter Incident Current (I_i), Transient Initial Time (t₁) & Required Time (t₂) and hit the calculate button. Here is how the Relationship of Charge and Current calculation can be explained with given input values -> 46.74 = int(12*x,x,1.1,3).

FAQ

What is Relationship of Charge and Current?

The Relationship of Charge and Current formula is the fundamental nature of electric current as the flow of electric charge in a stipulated amount of time and is represented as Q = int(I_i*x,x,t₁,t₂) or Charge Across Circuit = int(Incident Current*x,x,Transient Initial Time,Required Time). 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, Transient Initial Time refers to the beginning of a transient event in a system. Usually marks the starting point of this deviation or disturbance & Required Time is the time required for 1 coulomb of charge to move from one point to the other.

How to calculate Relationship of Charge and Current?

The Relationship of Charge and Current formula is the fundamental nature of electric current as the flow of electric charge in a stipulated amount of time is calculated using Charge Across Circuit = int(Incident Current*x,x,Transient Initial Time,Required Time). To calculate Relationship of Charge and Current, you need Incident Current (I_i), Transient Initial Time (t₁) & Required Time (t₂). With our tool, you need to enter the respective value for Incident Current, Transient Initial Time & 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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