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Force on Current Element in Magnetic Field Formula

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Force is defined as the repulsion or attraction acting on a current carrying conductor when placed in a magnetic field. Check FAQs

F = i L \cdot B \cdot \sin (θ)

F - Force?i_L - Current Element?B - Magnetic Flux Density?θ - Angle between Planes?

Force on Current Element in Magnetic Field Example

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Here is how the Force on Current Element in Magnetic Field equation looks like with Values.

Here is how the Force on Current Element in Magnetic Field equation looks like with Units.

Here is how the Force on Current Element in Magnetic Field equation looks like.

0.6788 = 0.48 \cdot 2 \cdot \sin (45)

0.6788N = 0.48m \cdot 2Wb/m² \cdot \sin (45°)

0.6788 = 0.48 \cdot 2 \cdot \sin (45)

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Force on Current Element in Magnetic Field Solution

Follow our step by step solution on how to calculate Force on Current Element in Magnetic Field?

FIRST Step Consider the formula

F = i L \cdot B \cdot \sin (θ)

Next Step Substitute values of Variables

∴

F = 0.48m \cdot 2Wb/m² \cdot \sin (45°)

Next Step Convert Units

∴

F = 0.48m \cdot 2T \cdot \sin (0.7854rad)

Next Step Prepare to Evaluate

∴

F = 0.48 \cdot 2 \cdot \sin (0.7854)

Next Step Evaluate

∴

F = 0.678822509938986N

LAST Step Rounding Answer

∴

F = 0.6788N

Force on Current Element in Magnetic Field Formula Elements

Variables

Functions

Force

Force is defined as the repulsion or attraction acting on a current carrying conductor when placed in a magnetic field.

Symbol: F

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Force

Current Element

Current Element as a current segment or infinitesimal current, refers to a small length of a current-carrying conductor with a uniform current flowing through it.

Symbol: i_L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Current Element

Magnetic Flux Density

Magnetic Flux Density describes the strength and direction of the magnetic field in a given region of space.

Symbol: B

Measurement: Magnetic Flux DensityUnit: Wb/m²

Note: Value should be greater than 0.

Formulas to find Magnetic Flux Density

Angle between Planes

Angle between Planes refers to the angular disarrangement between the planes of magnetic flux density and current element.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle between Planes

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Charge Carrier Characteristics category

Go Electrons Diffusion Constant

D n = μ n \cdot (\frac{[BoltZ] \cdot T}{[Charge-e]})

Go Hole Diffusion Length

L p = \sqrt{D p \cdot τ p}

Go Current Density due to Electrons

J n = [Charge-e] \cdot N e \cdot μ n \cdot E I

Go Current Density due to Holes

J p = [Charge-e] \cdot N p \cdot μ p \cdot E I

How to Evaluate Force on Current Element in Magnetic Field?

Force on Current Element in Magnetic Field evaluator uses Force = Current Element*Magnetic Flux Density*sin(Angle between Planes) to evaluate the Force, Force on Current Element in Magnetic Field is the force which is exerted on a current carrying conductor when placed in a magnetic field. Force is denoted by F symbol.

How to evaluate Force on Current Element in Magnetic Field using this online evaluator? To use this online evaluator for Force on Current Element in Magnetic Field, enter Current Element (i_L), Magnetic Flux Density (B) & Angle between Planes (θ) and hit the calculate button.

FAQs on Force on Current Element in Magnetic Field

What is the formula to find Force on Current Element in Magnetic Field?

The formula of Force on Current Element in Magnetic Field is expressed as Force = Current Element*Magnetic Flux Density*sin(Angle between Planes). Here is an example- 0.678823 = 0.48*2*sin(0.785398163397301).

How to calculate Force on Current Element in Magnetic Field?

With Current Element (i_L), Magnetic Flux Density (B) & Angle between Planes (θ) we can find Force on Current Element in Magnetic Field using the formula - Force = Current Element*Magnetic Flux Density*sin(Angle between Planes). This formula also uses Sine (sin) function(s).

Can the Force on Current Element in Magnetic Field be negative?

Yes, the Force on Current Element in Magnetic Field, measured in Force can be negative.

Which unit is used to measure Force on Current Element in Magnetic Field?

Force on Current Element in Magnetic Field is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force on Current Element in Magnetic Field can be measured.

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