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Magnetic Force Formula

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Magnetic Force is the force exerted by a magnetic field on a moving charge or another magnetic field. It depends on the velocity of the charge and the strength of the magnetic field. Check FAQs

F mm = |I| \cdot L rod \cdot (B \cdot \sin (θ 2))

F_mm - Magnetic Force?|I| - Current Magnitude?L_rod - Length of Rod?B - Magnetic Field?θ₂ - Theta 2?

Magnetic Force Example

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Here is how the Magnetic Force equation looks like with Values.

Here is how the Magnetic Force equation looks like with Units.

Here is how the Magnetic Force equation looks like.

0.0217 = 980 \cdot 1.83 \cdot (1.4E-5 \cdot \sin (60))

0.0217N = 980A \cdot 1.83m \cdot (1.4E-5Wb/m² \cdot \sin (60°))

0.0217 = 980 \cdot 1.83 \cdot (1.4E-5 \cdot \sin (60))

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Magnetic Force Solution

Follow our step by step solution on how to calculate Magnetic Force?

FIRST Step Consider the formula

F mm = |I| \cdot L rod \cdot (B \cdot \sin (θ 2))

Next Step Substitute values of Variables

∴

F mm = 980A \cdot 1.83m \cdot (1.4E-5Wb/m² \cdot \sin (60°))

Next Step Convert Units

∴

F mm = 980A \cdot 1.83m \cdot (1.4E-5T \cdot \sin (1.0472rad))

Next Step Prepare to Evaluate

∴

F mm = 980 \cdot 1.83 \cdot (1.4E-5 \cdot \sin (1.0472))

Next Step Evaluate

∴

F mm = 0.0217438194280557N

LAST Step Rounding Answer

∴

F mm = 0.0217N

Magnetic Force Formula Elements

Variables

Functions

Magnetic Force

Magnetic Force is the force exerted by a magnetic field on a moving charge or another magnetic field. It depends on the velocity of the charge and the strength of the magnetic field.

Symbol: F_mm

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Magnetic Force

Current Magnitude

Current Magnitude refers to the amount of electric charge flowing through a conductor per unit time. It is a measure of the strength of the electrical current in a circuit.

Symbol: |I|

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Current Magnitude

Length of Rod

Length of Rod is the distance between its two ends. It is a measure of how long the rod extends in its longest dimension.

Symbol: L_rod

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Rod

Magnetic Field

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.

Symbol: B

Measurement: Magnetic FieldUnit: Wb/m²

Note: Value can be positive or negative.

Formulas to find Magnetic Field

Theta 2

Theta 2 is angle representing a different orientation or direction in a magnetic field.

Symbol: θ₂

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Theta 2

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 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 Force between Parallel Wires

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

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}

How to Evaluate Magnetic Force?

Magnetic Force evaluator uses Magnetic Force = Current Magnitude*Length of Rod*(Magnetic Field*sin(Theta 2)) to evaluate the Magnetic Force, Magnetic Force formula is defined as a measure of the force exerted on a current-carrying wire in a magnetic field, which is a fundamental concept in understanding the interaction between electricity and magnetism, and has numerous applications in engineering, physics, and technology. Magnetic Force is denoted by F_mm symbol.

How to evaluate Magnetic Force using this online evaluator? To use this online evaluator for Magnetic Force, enter Current Magnitude (|I|), Length of Rod (L_rod), Magnetic Field (B) & Theta 2 (θ₂) and hit the calculate button.

FAQs on Magnetic Force

What is the formula to find Magnetic Force?

The formula of Magnetic Force is expressed as Magnetic Force = Current Magnitude*Length of Rod*(Magnetic Field*sin(Theta 2)). Here is an example- 0.021744 = 980*1.83*(1.4E-05*sin(1.0471975511964)).

How to calculate Magnetic Force?

With Current Magnitude (|I|), Length of Rod (L_rod), Magnetic Field (B) & Theta 2 (θ₂) we can find Magnetic Force using the formula - Magnetic Force = Current Magnitude*Length of Rod*(Magnetic Field*sin(Theta 2)). This formula also uses Sine function(s).

Can the Magnetic Force be negative?

Yes, the Magnetic Force, measured in Force can be negative.

Which unit is used to measure Magnetic Force?

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

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Magnetic Force Formula

Magnetic Force Example

Magnetic Force Solution

Magnetic Force Formula Elements

Other formulas in Magnetism category

How to Evaluate Magnetic Force?

FAQs on Magnetic Force

Variable Name