Drift Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drift Speed = (Electric Field*Relaxation time*[Charge-e])/(2*[Mass-e])
Vd = (E*𝛕*[Charge-e])/(2*[Mass-e])
This formula uses 2 Constants, 3 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[Mass-e] - Mass of electron Value Taken As 9.10938356E-31
Variables Used
Drift Speed - (Measured in Meter per Second) - The drift speed is the average speed that a particle achieves due to an electric field.
Electric Field - (Measured in Volt per Meter) - Electric Field is defined as the electric force per unit charge.
Relaxation time - (Measured in Second) - Relaxation time is the time in which the particle does not collide with any other particle.
STEP 1: Convert Input(s) to Base Unit
Electric Field: 600 Volt per Meter --> 600 Volt per Meter No Conversion Required
Relaxation time: 0.05 Second --> 0.05 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vd = (E*𝛕*[Charge-e])/(2*[Mass-e]) --> (600*0.05*[Charge-e])/(2*[Mass-e])
Evaluating ... ...
Vd = 2638230034085.86
STEP 3: Convert Result to Output's Unit
2638230034085.86 Meter per Second -->2.63823003408586E+15 Millimeter per Second (Check conversion here)
FINAL ANSWER
2.63823003408586E+15 2.6E+15 Millimeter per Second <-- Drift Speed
(Calculation completed in 00.004 seconds)

Credits

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Birsa Institute of Technology (BIT), Sindri
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9 Basics of Current Electricity Calculators

Electric Current given Drift Velocity
Go Electric Current = Number of Free Charge Particles per Unit Volume*[Charge-e]*Cross-Sectional Area*Drift Speed
Drift Speed given Cross-Sectional Area
Go Drift Speed = Electric Current/(Number of Electrons*[Charge-e]*Cross-Sectional Area)
Drift Speed
Go Drift Speed = (Electric Field*Relaxation time*[Charge-e])/(2*[Mass-e])
Electromotive Force when Battery is Discharging
Go Electromotive Voltage = Electromotive Force-Electric Current*Resistance
Electromotive Force when Battery is Charging
Go Electromotive Voltage = Electromotive Force+Electric Current*Resistance
Electric Field
Go Electric Field = Electric Potential Difference/Length of Conductor
Current Density given Electric Current and Area
Go Electric Current Density = Electric Current/Area of Conductor
Current Density given Resistivity
Go Electric Current Density = Electric Field/Resistivity
Electric Current given Charge and Time
Go Electric Current = Charge/Total Time Taken

Drift Speed Formula

Drift Speed = (Electric Field*Relaxation time*[Charge-e])/(2*[Mass-e])
Vd = (E*𝛕*[Charge-e])/(2*[Mass-e])

What is drift speed of an electron?

The drift speed is an average speed attained by charged particles, such as electrons, in a material due to an electric field. In general, an electron in a conductor will propagate randomly at the Fermi velocity, resulting in an average velocity of zero.

How to Calculate Drift Speed?

Drift Speed calculator uses Drift Speed = (Electric Field*Relaxation time*[Charge-e])/(2*[Mass-e]) to calculate the Drift Speed, The Drift Speed when Cross-Sectional Area is Given is the average velocity that a particle achieves due to an electric field. Drift Speed is denoted by Vd symbol.

How to calculate Drift Speed using this online calculator? To use this online calculator for Drift Speed, enter Electric Field (E) & Relaxation time (𝛕) and hit the calculate button. Here is how the Drift Speed calculation can be explained with given input values -> 2.6E+18 = (600*0.05*[Charge-e])/(2*[Mass-e]).

FAQ

What is Drift Speed?
The Drift Speed when Cross-Sectional Area is Given is the average velocity that a particle achieves due to an electric field and is represented as Vd = (E*𝛕*[Charge-e])/(2*[Mass-e]) or Drift Speed = (Electric Field*Relaxation time*[Charge-e])/(2*[Mass-e]). Electric Field is defined as the electric force per unit charge & Relaxation time is the time in which the particle does not collide with any other particle.
How to calculate Drift Speed?
The Drift Speed when Cross-Sectional Area is Given is the average velocity that a particle achieves due to an electric field is calculated using Drift Speed = (Electric Field*Relaxation time*[Charge-e])/(2*[Mass-e]). To calculate Drift Speed, you need Electric Field (E) & Relaxation time (𝛕). With our tool, you need to enter the respective value for Electric Field & Relaxation time 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 Drift Speed?
In this formula, Drift Speed uses Electric Field & Relaxation time. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Drift Speed = Electric Current/(Number of Electrons*[Charge-e]*Cross-Sectional Area)
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