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Force between Parallel Wires Formula

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Magnetic Force per Unit Length is the force experienced by a current-carrying conductor per unit length when placed in a magnetic field. Check FAQs

F 𝑙 = \frac{[Permeability-vacuum] \cdot I 1 \cdot I 2}{2 \cdot π \cdot d}

F_𝑙 - Magnetic Force per Unit Length?I₁ - Electric Current in Conductor 1?I₂ - Electric Current in Conductor 2?d - Perpendicular Distance?[Permeability-vacuum] - Permeability of vacuum?π - Archimedes' constant?

Force between Parallel Wires Example

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Here is how the Force between Parallel Wires equation looks like with Values.

Here is how the Force between Parallel Wires equation looks like with Units.

Here is how the Force between Parallel Wires equation looks like.

0.0005 = \frac{1.3E-6 \cdot 1.1 \cdot 4}{2 \cdot 3.1416 \cdot 0.0017}

0.0005N/m = \frac{1.3E-6 \cdot 1.1A \cdot 4A}{2 \cdot 3.1416 \cdot 0.0017m}

0.0005 = \frac{1.3E-6 \cdot 1.1 \cdot 4}{2 \cdot 3.1416 \cdot 0.0017}

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Force between Parallel Wires Solution

Follow our step by step solution on how to calculate Force between Parallel Wires?

FIRST Step Consider the formula

F 𝑙 = \frac{[Permeability-vacuum] \cdot I 1 \cdot I 2}{2 \cdot π \cdot d}

Next Step Substitute values of Variables

∴

F 𝑙 = \frac{[Permeability-vacuum] \cdot 1.1A \cdot 4A}{2 \cdot π \cdot 0.0017m}

Next Step Substitute values of Constants

∴

F 𝑙 = \frac{1.3E-6 \cdot 1.1A \cdot 4A}{2 \cdot 3.1416 \cdot 0.0017m}

Next Step Prepare to Evaluate

∴

F 𝑙 = \frac{1.3E-6 \cdot 1.1 \cdot 4}{2 \cdot 3.1416 \cdot 0.0017}

Next Step Evaluate

∴

F 𝑙 = 0.000514619883040936N/m

LAST Step Rounding Answer

∴

F 𝑙 = 0.0005N/m

Force between Parallel Wires Formula Elements

Variables

Constants

Magnetic Force per Unit Length

Magnetic Force per Unit Length is the force experienced by a current-carrying conductor per unit length when placed in a magnetic field.

Symbol: F_𝑙

Measurement: Surface TensionUnit: N/m

Note: Value can be positive or negative.

Formulas to find Magnetic Force per Unit Length

Electric Current in Conductor 1

Electric Current in Conductor 1 is the flow of electric charge through it. The amount of current depends on the voltage applied and the conductor’s resistance.

Symbol: I₁

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Electric Current in Conductor 1

Electric Current in Conductor 2

Electric Current in Conductor 2 is the flow of electric charge through that specific conductor. It can vary based on the voltage across it and its resistance.

Symbol: I₂

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Electric Current in Conductor 2

Perpendicular Distance

Perpendicular Distance is the shortest distance between a point and a line or surface, measured at a right angle to the line or surface.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Perpendicular Distance

Permeability of vacuum

Permeability of vacuum is a fundamental physical constant that relates the magnetic field within a vacuum to the current producing that field.

Symbol: [Permeability-vacuum]

Value: 1.2566E-6

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Magnetism category

Go Magnetic Field on Axis of Ring

B = \frac{[Permeability-vacuum] \cdot i \cdot {r ring}^{2}}{2 \cdot {({r ring}^{2} + d^{2})}^{\frac{3}{2}}}

Go Magnetic Field at Center of Arc

M arc = \frac{[Permeability-vacuum] \cdot i \cdot θ arc}{4 \cdot π \cdot r ring}

Go Field Inside Solenoid

B = \frac{[Permeability-vacuum] \cdot i \cdot N}{L solenoid}

Go Magnetic Field at Center of Ring

M ring = \frac{[Permeability-vacuum] \cdot i}{2 \cdot r ring}

How to Evaluate Force between Parallel Wires?

Force between Parallel Wires evaluator uses Magnetic Force per Unit Length = ([Permeability-vacuum]*Electric Current in Conductor 1*Electric Current in Conductor 2)/(2*pi*Perpendicular Distance) to evaluate the Magnetic Force per Unit Length, Force between Parallel Wires formula is defined as a measure of the magnetic force per unit length between two parallel wires carrying currents in the same direction, which is a fundamental concept in understanding the interaction between electromagnetic fields and electric currents. Magnetic Force per Unit Length is denoted by F_𝑙 symbol.

How to evaluate Force between Parallel Wires using this online evaluator? To use this online evaluator 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.

FAQs on Force between Parallel Wires

What is the formula to find Force between Parallel Wires?

The formula of Force between Parallel Wires is expressed as Magnetic Force per Unit Length = ([Permeability-vacuum]*Electric Current in Conductor 1*Electric Current in Conductor 2)/(2*pi*Perpendicular Distance). Here is an example- 0.000515 = ([Permeability-vacuum]*1.1*4)/(2*pi*0.00171).

How to calculate Force between Parallel Wires?

With Electric Current in Conductor 1 (I₁), Electric Current in Conductor 2 (I₂) & Perpendicular Distance (d) we can find Force between Parallel Wires using the formula - Magnetic Force per Unit Length = ([Permeability-vacuum]*Electric Current in Conductor 1*Electric Current in Conductor 2)/(2*pi*Perpendicular Distance). This formula also uses Permeability of vacuum, Archimedes' constant .

Can the Force between Parallel Wires be negative?

Yes, the Force between Parallel Wires, measured in Surface Tension can be negative.

Which unit is used to measure Force between Parallel Wires?

Force between Parallel Wires is usually measured using the Newton per Meter[N/m] for Surface Tension. Millinewton per Meter[N/m], Gram-Force per Centimeter[N/m], Dyne per Centimeter[N/m] are the few other units in which Force between Parallel Wires can be measured.

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Force between Parallel Wires Formula

Force between Parallel Wires Example

Force between Parallel Wires Solution

Force between Parallel Wires Formula Elements

Other formulas in Magnetism category

How to Evaluate Force between Parallel Wires?

FAQs on Force between Parallel Wires

Variable Name