Magnetic Field Due to Infinite Straight Wire Calculator

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✖Electric Current is the time rate of flow of charge through a cross sectional area.ⓘ Electric Current [i]			+10% -10%
✖The perpendicular distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both.ⓘ Perpendicular Distance [d]			+10% -10%

✖Magnetic fields are produced by electric currents, which can be macroscopic currents in wires, or microscopic currents associated with electrons in atomic orbits.ⓘ Magnetic Field Due to Infinite Straight Wire [B]

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Formula

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Magnetic Field Due to Infinite Straight Wire

Formula

`"B" = ("[Permeability-vacuum]"*"i")/(2*pi*"d")`

Example

`"1.4E^-5Wb/m²"=("[Permeability-vacuum]"*"2.2A")/(2*pi*"31mm")`

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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) - Magnetic fields are produced by electric currents, which can be macroscopic currents in wires, or microscopic currents associated with electrons in atomic orbits.
Electric Current - (Measured in Ampere) - Electric Current is the time rate of flow of charge through a cross sectional area.
Perpendicular Distance - (Measured in Meter) - The perpendicular distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both.

STEP 1: Convert Input(s) to Base Unit

Electric Current: 2.2 Ampere --> 2.2 Ampere No Conversion Required
Perpendicular Distance: 31 Millimeter --> 0.031 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = ([Permeability-vacuum]*i)/(2*pi*d) --> ([Permeability-vacuum]*2.2)/(2*pi*0.031)

Evaluating ... ...

B = 1.41935483870968E-05

STEP 3: Convert Result to Output's Unit

1.41935483870968E-05 Tesla -->1.41935483870968E-05 Weber per Square Meter (Check conversion here)

FINAL ANSWER

1.41935483870968E-05 ≈ 1.4E-5 Weber per Square Meter <-- Magnetic Field

(Calculation completed in 00.004 seconds)

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Credits

Created by Mayank Tayal

National Institute of Technology (NIT), Durgapur

Mayank Tayal has created this Calculator and 25+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

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< 15 Magnetic Field due to Current Calculators

Magnetic Field due to Straight Conductor

Go Magnetic Field = ([Permeability-vacuum]*Electric Current)/(4*pi*Perpendicular Distance)*(cos(Theta 1)-cos(Theta 2))

Magnetic Field for Tangent Galvanometer

Go Horizontal Component of Earth's Magnetic Field = ([Permeability-vacuum]*Number of Turns of Coil*Electric Current)/(2*Radius of Ring*tan(Angle of Deflection of Galvanometer))

Force between Parallel Wires

Go Magnetic Force per Unit Length = ([Permeability-vacuum]*Electric Current in Conductor 1*Electric Current in Conductor 2)/(2*pi*Perpendicular Distance)

Current in Moving Coil Galvanometer

Go Electric Current = (Spring Constant*Angle of Deflection of Galvanometer)/(Number of Turns of Coil*Cross-Sectional Area*Magnetic Field)

Magnetic Field on Axis of Ring

Go Magnetic Field = ([Permeability-vacuum]*Electric Current*Radius of Ring^2)/(2*(Radius of Ring^2+Perpendicular Distance^2)^(3/2))

Time Period of Magnetometer

Go Time Period of Magnetometer = 2*pi*sqrt(Moment of Inertia/(Magnetic Moment*Horizontal Component of Earth's Magnetic Field))

Magnetic Field at Center of Arc

Go Field at Center of Arc = ([Permeability-vacuum]*Electric Current*Angle Obtained by Arc at Center)/(4*pi*Radius of Ring)

Field of Bar Magnet at Equatorial position

Go Field at Equitorial Position of Bar Magnet = ([Permeability-vacuum]*Magnetic Moment)/(4*pi*Distance from Center to Point^3)

Field of Bar Magnet at Axial position

Go Field at Axial Position of Bar Magnet = (2*[Permeability-vacuum]*Magnetic Moment)/(4*pi*Distance from Center to Point^3)

Field Inside Solenoid

Go Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solonoid

Magnetic Field Due to Infinite Straight Wire

Go Magnetic Field = ([Permeability-vacuum]*Electric Current)/(2*pi*Perpendicular Distance)

Electric Current for Tangent Galvanometer

Go Electric Current = Reduction Factor of Tangent Galvanometer*tan(Angle of Deflection of Galvanometer)

Angle of Dip

Go Angle of Dip = arccos(Horizontal Component of Earth's Magnetic Field/Net Earth's Magnetic Field)

Magnetic Field at Center of Ring

Go Field at Center of Ring = ([Permeability-vacuum]*Electric Current)/(2*Radius of Ring)

Magnetic Permeability

Go Magnetic Permeability of Medium = Magnetic Field/Magnetic Field Intensity

Magnetic Field Due to Infinite Straight Wire Formula

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

How is Magnetic Field due to an infinite straight Wire calculated ?

Assuming that we know the formula for the Magnetic Field due to a straight finite conductor.
Considering the angles made by the point from the straight conductor be 180 from top end and 0 from bottom end, it will give the condition of the infinite straight conductor.

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, The Magnetic Field Due to Infinite Straight Wire formula is defined as the magnitude of the magnetic field produced at a point by a current-carrying infinite conductor. 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 -> 1.4E-5 = ([Permeability-vacuum]*2.2)/(2*pi*0.031).

FAQ

What is Magnetic Field Due to Infinite Straight Wire?

The Magnetic Field Due to Infinite Straight Wire formula is defined as the magnitude of the magnetic field produced at a point by a current-carrying infinite conductor 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 time rate of flow of charge through a cross sectional area & The perpendicular distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both.

How to calculate Magnetic Field Due to Infinite Straight Wire?

The Magnetic Field Due to Infinite Straight Wire formula is defined as the magnitude of the magnetic field produced at a point by a current-carrying infinite conductor 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 Solonoid
Magnetic Field = ([Permeability-vacuum]*Electric Current)/(4*pi*Perpendicular Distance)*(cos(Theta 1)-cos(Theta 2))

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