Magnetic Field Due to Infinite Straight Wire Solution

STEP 0: Pre-Calculation Summary
Formula Used
Magnetic Field = ([Permeability-vacuum]*Electric Current)/(2*pi*Perpendicular Distance)
B = ([Permeability-vacuum]*i)/(2*pi*d)
This formula uses 2 Constants, 3 Variables
Constants Used
[Permeability-vacuum] - Permeability of vacuum Value Taken As 1.2566E-6
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Magnetic Field - (Measured in Tesla) - The Magnetic Field is a vector field around a magnet or electric current that exerts force on other magnets or moving charges. It is described by both direction and strength.
Electric Current - (Measured in Ampere) - Electric Current is the flow of electric charge through a conductor. It is measured by the amount of charge passing a point in the conductor per unit time.
Perpendicular Distance - (Measured in Meter) - Perpendicular Distance is the shortest distance between a point and a line or surface, measured at a right angle to the line or surface.
STEP 1: Convert Input(s) to Base Unit
Electric Current: 0.1249 Ampere --> 0.1249 Ampere No Conversion Required
Perpendicular Distance: 0.00171 Meter --> 0.00171 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
B = ([Permeability-vacuum]*i)/(2*pi*d) --> ([Permeability-vacuum]*0.1249)/(2*pi*0.00171)
Evaluating ... ...
B = 1.46081871345029E-05
STEP 3: Convert Result to Output's Unit
1.46081871345029E-05 Tesla -->1.46081871345029E-05 Weber per Square Meter (Check conversion ​here)
FINAL ANSWER
1.46081871345029E-05 1.5E-5 Weber per Square Meter <-- Magnetic Field
(Calculation completed in 00.013 seconds)

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Created by Mayank Tayal
National Institute of Technology (NIT), Durgapur
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Magnetism Calculators

Force between Parallel Wires
​ LaTeX ​ Go Magnetic Force per Unit Length = ([Permeability-vacuum]*Electric Current in Conductor 1*Electric Current in Conductor 2)/(2*pi*Perpendicular Distance)
Magnetic Field on Axis of Ring
​ LaTeX ​ Go Magnetic Field = ([Permeability-vacuum]*Electric Current*Radius of Ring^2)/(2*(Radius of Ring^2+Perpendicular Distance^2)^(3/2))
Magnetic Field at Center of Arc
​ LaTeX ​ Go Field at Center of Arc = ([Permeability-vacuum]*Electric Current*Angle Obtained by Arc at Center)/(4*pi*Radius of Ring)
Field Inside Solenoid
​ LaTeX ​ Go Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solenoid

Magnetic Field Due to Infinite Straight Wire Formula

​LaTeX ​Go
Magnetic Field = ([Permeability-vacuum]*Electric Current)/(2*pi*Perpendicular Distance)
B = ([Permeability-vacuum]*i)/(2*pi*d)

What is Conductor?


A conductor is a material that allows the flow of electric current with minimal resistance. It typically has free electrons that move easily through the material, enabling efficient transmission of electrical energy. Common examples of conductors include metals like copper and aluminum, which are widely used in electrical wiring and electronic components.

How to Calculate Magnetic Field Due to Infinite Straight Wire?

Magnetic Field Due to Infinite Straight Wire calculator uses Magnetic Field = ([Permeability-vacuum]*Electric Current)/(2*pi*Perpendicular Distance) to calculate the Magnetic Field, Magnetic Field Due to Infinite Straight Wire formula is defined as a measure of the magnetic force per unit length of wire at a given point in space, generated by an electric current flowing through an infinitely long straight wire. Magnetic Field is denoted by B symbol.

How to calculate Magnetic Field Due to Infinite Straight Wire using this online calculator? To use this online calculator for Magnetic Field Due to Infinite Straight Wire, enter Electric Current (i) & Perpendicular Distance (d) and hit the calculate button. Here is how the Magnetic Field Due to Infinite Straight Wire calculation can be explained with given input values -> 2.599132 = ([Permeability-vacuum]*0.1249)/(2*pi*0.00171).

FAQ

What is Magnetic Field Due to Infinite Straight Wire?
Magnetic Field Due to Infinite Straight Wire formula is defined as a measure of the magnetic force per unit length of wire at a given point in space, generated by an electric current flowing through an infinitely long straight wire and is represented as B = ([Permeability-vacuum]*i)/(2*pi*d) or Magnetic Field = ([Permeability-vacuum]*Electric Current)/(2*pi*Perpendicular Distance). Electric Current is the flow of electric charge through a conductor. It is measured by the amount of charge passing a point in the conductor per unit time & Perpendicular Distance is the shortest distance between a point and a line or surface, measured at a right angle to the line or surface.
How to calculate Magnetic Field Due to Infinite Straight Wire?
Magnetic Field Due to Infinite Straight Wire formula is defined as a measure of the magnetic force per unit length of wire at a given point in space, generated by an electric current flowing through an infinitely long straight wire is calculated using Magnetic Field = ([Permeability-vacuum]*Electric Current)/(2*pi*Perpendicular Distance). To calculate Magnetic Field Due to Infinite Straight Wire, you need Electric Current (i) & Perpendicular Distance (d). With our tool, you need to enter the respective value for Electric Current & Perpendicular Distance 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 Magnetic Field?
In this formula, Magnetic Field uses Electric Current & Perpendicular Distance. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Magnetic Field = ([Permeability-vacuum]*Electric Current*Radius of Ring^2)/(2*(Radius of Ring^2+Perpendicular Distance^2)^(3/2))
  • Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solenoid
  • Magnetic Field = ([Permeability-vacuum]*Electric Current)/(4*pi*Perpendicular Distance)*(cos(Theta 1)-cos(Theta 2))
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