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Magnetic Force by Lorentz Force Equation Formula

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The Magnetic Force is a force exerted on a charged particle or a current-carrying wire when it moves through a magnetic field. Check FAQs

F mag = Q \cdot (E lf + (ν \cdot B \cdot \sin (θ)))

F_mag - Magnetic Force?Q - Charge of Particle?E_lf - Electric Field?ν - Speed of Charged Particle?B - Magnetic Flux Density?θ - Incidence Angle?

Magnetic Force by Lorentz Force Equation Example

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

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

Here is how the Magnetic Force by Lorentz Force Equation equation looks like.

-6E-6 = -2E-8 \cdot (300 + (5 \cdot 0.002 \cdot \sin (30)))

-6E-6N = -2E-8C \cdot (300N/C + (5m/s \cdot 0.002T \cdot \sin (30°)))

-6E-6 = -2E-8 \cdot (300 + (5 \cdot 0.002 \cdot \sin (30)))

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Magnetic Force by Lorentz Force Equation Solution

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

FIRST Step Consider the formula

F mag = Q \cdot (E lf + (ν \cdot B \cdot \sin (θ)))

Next Step Substitute values of Variables

∴

F mag = -2E-8C \cdot (300N/C + (5m/s \cdot 0.002T \cdot \sin (30°)))

Next Step Convert Units

∴

F mag = -2E-8C \cdot (300V/m + (5m/s \cdot 0.002T \cdot \sin (0.5236rad)))

Next Step Prepare to Evaluate

∴

F mag = -2E-8 \cdot (300 + (5 \cdot 0.002 \cdot \sin (0.5236)))

Next Step Evaluate

∴

F mag = -6.00009865E-06N

LAST Step Rounding Answer

∴

F mag = -6E-6N

Magnetic Force by Lorentz Force Equation Formula Elements

Variables

Functions

Magnetic Force

The Magnetic Force is a force exerted on a charged particle or a current-carrying wire when it moves through a magnetic field.

Symbol: F_mag

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Magnetic Force

Charge of Particle

The Charge of Particle is a fundamental property that determines its electromagnetic interactions. Electric charge comes in two types: positive and negative.

Symbol: Q

Measurement: Electric ChargeUnit: C

Note: Value can be positive or negative.

Formulas to find Charge of Particle

Electric Field

Electric Field is the force per unit charge experienced by a test charge at a given point in space.

Symbol: E_lf

Measurement: Electric Field StrengthUnit: N/C

Note: Value can be positive or negative.

Formulas to find Electric Field

Speed of Charged Particle

The Speed of Charged Particle refers to the rate at which the particle covers the distance in a given direction. It is a scalar quantity.

Symbol: ν

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Speed of Charged Particle

Magnetic Flux Density

The Magnetic Flux Density, often simply referred to as magnetic field or magnetic induction, is a measure of the strength of a magnetic field at a particular point in space.

Symbol: B

Measurement: Magnetic Flux DensityUnit: T

Note: Value should be greater than 0.

Formulas to find Magnetic Flux Density

Incidence Angle

Incidence Angle denotes the angle between the velocity vector of the charged particle and the magnetic field vector.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Incidence Angle

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)

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Z o = \sqrt{μ \cdot π \cdot \frac{10^{- 7}}{∈'}} \cdot (\frac{p d}{p b})

Go Conductance of Coaxial Cable

G c = \frac{2 \cdot π \cdot σ c}{\ln (\frac{b r}{a r})}

How to Evaluate Magnetic Force by Lorentz Force Equation?

Magnetic Force by Lorentz Force Equation evaluator uses Magnetic Force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Incidence Angle))) to evaluate the Magnetic Force, Magnetic Force by Lorentz Force Equation describes the force experienced by a charged particle moving through an electromagnetic field. Magnetic Force is denoted by F_mag symbol.

How to evaluate Magnetic Force by Lorentz Force Equation using this online evaluator? To use this online evaluator for Magnetic Force by Lorentz Force Equation, enter Charge of Particle (Q), Electric Field (E_lf), Speed of Charged Particle (ν), Magnetic Flux Density (B) & Incidence Angle (θ) and hit the calculate button.

FAQs on Magnetic Force by Lorentz Force Equation

What is the formula to find Magnetic Force by Lorentz Force Equation?

The formula of Magnetic Force by Lorentz Force Equation is expressed as Magnetic Force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Incidence Angle))). Here is an example- -6E-6 = (-2E-08)*(300+(5*0.001973*sin(0.5235987755982))).

How to calculate Magnetic Force by Lorentz Force Equation?

With Charge of Particle (Q), Electric Field (E_lf), Speed of Charged Particle (ν), Magnetic Flux Density (B) & Incidence Angle (θ) we can find Magnetic Force by Lorentz Force Equation using the formula - Magnetic Force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Incidence Angle))). This formula also uses Sine (sin) function(s).

Can the Magnetic Force by Lorentz Force Equation be negative?

Yes, the Magnetic Force by Lorentz Force Equation, measured in Force can be negative.

Which unit is used to measure Magnetic Force by Lorentz Force Equation?

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

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Magnetic Force by Lorentz Force Equation Formula

Magnetic Force by Lorentz Force Equation Example

Magnetic Force by Lorentz Force Equation Solution

Magnetic Force by Lorentz Force Equation Formula Elements

Other formulas in Electrowave Dynamics category

How to Evaluate Magnetic Force by Lorentz Force Equation?

FAQs on Magnetic Force by Lorentz Force Equation

Variable Name