Electric Current given Drift Velocity Calculator

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✖Number of Free Charge Particles per Unit Volume is the amount of free charges moving in the conductor when current is applies per unit volume.ⓘ Number of Free Charge Particles per Unit Volume [n]			+10% -10%
✖Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area [A]			+10% -10%
✖The drift speed is the average speed that a particle achieves due to an electric field.ⓘ Drift Speed [V_d]			+10% -10%

✖Electric Current is the time rate of flow of charge through a cross sectional area.ⓘ Electric Current given Drift Velocity [I]

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Formula

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Electric Current given Drift Velocity

Formula

`"I" = "n"*"[Charge-e]"*"A"*"V"_{"d"}`

Example

`"1.6E^-27A"="7"*"[Charge-e]"*"14mm²"*"0.1mm/s"`

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Electric Current given Drift Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electric Current = Number of Free Charge Particles per Unit Volume*[Charge-e]*Cross-Sectional Area*Drift Speed
I = n*[Charge-e]*A*V_d
This formula uses 1 Constants, 4 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19

Variables Used

Electric Current - (Measured in Ampere) - Electric Current is the time rate of flow of charge through a cross sectional area.
Number of Free Charge Particles per Unit Volume - Number of Free Charge Particles per Unit Volume is the amount of free charges moving in the conductor when current is applies per unit volume.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
Drift Speed - (Measured in Meter per Second) - The drift speed is the average speed that a particle achieves due to an electric field.

STEP 1: Convert Input(s) to Base Unit

Number of Free Charge Particles per Unit Volume: 7 --> No Conversion Required
Cross-Sectional Area: 14 Square Millimeter --> 1.4E-05 Square Meter (Check conversion here)
Drift Speed: 0.1 Millimeter per Second --> 0.0001 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = n*[Charge-e]*A*V_d --> 7*[Charge-e]*1.4E-05*0.0001

Evaluating ... ...

I = 1.5701330876E-27

STEP 3: Convert Result to Output's Unit

1.5701330876E-27 Ampere --> No Conversion Required

FINAL ANSWER

1.5701330876E-27 ≈ 1.6E-27 Ampere <-- Electric Current

(Calculation completed in 00.004 seconds)

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Electric Current given Drift Velocity Formula

Electric Current = Number of Free Charge Particles per Unit Volume*[Charge-e]*Cross-Sectional Area*Drift Speed
I = n*[Charge-e]*A*V_d

How is current inside conductor calculated taking movement of electrons into account ?

When a current is placed in an electric field then for small duration electrons, do have an average velocity but its average velocity becomes zero with a short interval of time. Then in that interval current is calculated by the formula i= neAV_d
Where n is the number of free charge particle per unit volume,
e is the charge of the electron whose value is e= 1.602 * 10^-19 coulombs
A is the cross-sectional area measured in square-meter and
v_d is the drift velocity measured in meter per second.

How to Calculate Electric Current given Drift Velocity?

Electric Current given Drift Velocity calculator uses Electric Current = Number of Free Charge Particles per Unit Volume*[Charge-e]*Cross-Sectional Area*Drift Speed to calculate the Electric Current, Electric Current given Drift Velocity is the time rate of flow of charge through a cross-sectional area. Its S.I unit is Ampere. Electric Current is denoted by I symbol.

How to calculate Electric Current given Drift Velocity using this online calculator? To use this online calculator for Electric Current given Drift Velocity, enter Number of Free Charge Particles per Unit Volume (n), Cross-Sectional Area (A) & Drift Speed (V_d) and hit the calculate button. Here is how the Electric Current given Drift Velocity calculation can be explained with given input values -> 1.6E-27 = 7*[Charge-e]*1.4E-05*0.0001.

FAQ

What is Electric Current given Drift Velocity?

Electric Current given Drift Velocity is the time rate of flow of charge through a cross-sectional area. Its S.I unit is Ampere and is represented as I = n*[Charge-e]*A*V_d or Electric Current = Number of Free Charge Particles per Unit Volume*[Charge-e]*Cross-Sectional Area*Drift Speed. Number of Free Charge Particles per Unit Volume is the amount of free charges moving in the conductor when current is applies per unit volume, Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point & The drift speed is the average speed that a particle achieves due to an electric field.

How to calculate Electric Current given Drift Velocity?

Electric Current given Drift Velocity is the time rate of flow of charge through a cross-sectional area. Its S.I unit is Ampere is calculated using Electric Current = Number of Free Charge Particles per Unit Volume*[Charge-e]*Cross-Sectional Area*Drift Speed. To calculate Electric Current given Drift Velocity, you need Number of Free Charge Particles per Unit Volume (n), Cross-Sectional Area (A) & Drift Speed (V_d). With our tool, you need to enter the respective value for Number of Free Charge Particles per Unit Volume, Cross-Sectional Area & Drift Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Electric Current?

In this formula, Electric Current uses Number of Free Charge Particles per Unit Volume, Cross-Sectional Area & Drift Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -

Electric Current = Charge/Total Time Taken

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