Force between Parallel Wires Calculator

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✖Electric Current in Conductor 1 is the magnitude of current flowing through conductor 1.ⓘ Electric Current in Conductor 1 [I₁]			+10% -10%
✖Electric Current in Conductor 2 is the magnitutde of current flowing through conductor 2.ⓘ Electric Current in Conductor 2 [I₂]			+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 Force per Unit Length is the magnetic force acting on a unit length of wire.ⓘ Force between Parallel Wires [F_𝑙]

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Formula

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Force between Parallel Wires

Formula

`"F"_{"𝑙"} = ("[Permeability-vacuum]"*"I"_{"1"}*"I"_{"2"})/(2*pi*"d")`

Example

`"2.8E^-5N/m"=("[Permeability-vacuum]"*"1.1A"*"4A")/(2*pi*"31mm")`

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Force between Parallel Wires Solution

STEP 0: Pre-Calculation Summary

Formula Used

Magnetic Force per Unit Length = ([Permeability-vacuum]*Electric Current in Conductor 1*Electric Current in Conductor 2)/(2*pi*Perpendicular Distance)
F_𝑙 = ([Permeability-vacuum]*I₁*I₂)/(2*pi*d)
This formula uses 2 Constants, 4 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 Force per Unit Length - (Measured in Newton per Meter) - Magnetic Force per Unit Length is the magnetic force acting on a unit length of wire.
Electric Current in Conductor 1 - (Measured in Ampere) - Electric Current in Conductor 1 is the magnitude of current flowing through conductor 1.
Electric Current in Conductor 2 - (Measured in Ampere) - Electric Current in Conductor 2 is the magnitutde of current flowing through conductor 2.
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 in Conductor 1: 1.1 Ampere --> 1.1 Ampere No Conversion Required
Electric Current in Conductor 2: 4 Ampere --> 4 Ampere No Conversion Required
Perpendicular Distance: 31 Millimeter --> 0.031 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_𝑙 = ([Permeability-vacuum]*I₁*I₂)/(2*pi*d) --> ([Permeability-vacuum]*1.1*4)/(2*pi*0.031)

Evaluating ... ...

F_𝑙 = 2.83870967741936E-05

STEP 3: Convert Result to Output's Unit

2.83870967741936E-05 Newton per Meter --> No Conversion Required

FINAL ANSWER

2.83870967741936E-05 ≈ 2.8E-5 Newton per Meter <-- Magnetic Force per Unit Length

(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 Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 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

Force between Parallel Wires Formula

How is force arised due to magnetic field ?

Magnetic fields can exert a force on electric charge only if it is moving, just as a moving charge produces a magnetic field. This force increases with both an increase in charge and magnetic field strength. Moreover, the force is greater when charges have higher velocities.

How to Calculate Force between Parallel Wires?

Force between Parallel Wires calculator uses Magnetic Force per Unit Length = ([Permeability-vacuum]*Electric Current in Conductor 1*Electric Current in Conductor 2)/(2*pi*Perpendicular Distance) to calculate the Magnetic Force per Unit Length, The Force between Parallel Wires formula is defined as the force of attraction or repulsion between the two current-carrying wires. SI unit is Newton per meter. Magnetic Force per Unit Length is denoted by F_𝑙 symbol.

How to calculate Force between Parallel Wires using this online calculator? To use this online calculator for Force between Parallel Wires, enter Electric Current in Conductor 1 (I₁), Electric Current in Conductor 2 (I₂) & Perpendicular Distance (d) and hit the calculate button. Here is how the Force between Parallel Wires calculation can be explained with given input values -> 2.8E-5 = ([Permeability-vacuum]*1.1*4)/(2*pi*0.031).

FAQ

What is Force between Parallel Wires?

The Force between Parallel Wires formula is defined as the force of attraction or repulsion between the two current-carrying wires. SI unit is Newton per meter and is represented as F_𝑙 = ([Permeability-vacuum]*I₁*I₂)/(2*pi*d) or Magnetic Force per Unit Length = ([Permeability-vacuum]*Electric Current in Conductor 1*Electric Current in Conductor 2)/(2*pi*Perpendicular Distance). Electric Current in Conductor 1 is the magnitude of current flowing through conductor 1, Electric Current in Conductor 2 is the magnitutde of current flowing through conductor 2 & 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 Force between Parallel Wires?

The Force between Parallel Wires formula is defined as the force of attraction or repulsion between the two current-carrying wires. SI unit is Newton per meter is calculated using Magnetic Force per Unit Length = ([Permeability-vacuum]*Electric Current in Conductor 1*Electric Current in Conductor 2)/(2*pi*Perpendicular Distance). To calculate Force between Parallel Wires, you need Electric Current in Conductor 1 (I₁), Electric Current in Conductor 2 (I₂) & Perpendicular Distance (d). With our tool, you need to enter the respective value for Electric Current in Conductor 1, Electric Current in Conductor 2 & Perpendicular Distance 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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