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Magnetic Force by Lorentz Force Equation Calculator

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✖The Charge of Particle is a fundamental property that determines its electromagnetic interactions. Electric charge comes in two types: positive and negative.ⓘ Charge of Particle [Q]			+10% -10%
✖Electric Field is the force per unit charge experienced by a test charge at a given point in space.ⓘ Electric Field [E_lf]			+10% -10%
✖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.ⓘ Speed of Charged Particle [ν]			+10% -10%
✖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.ⓘ Magnetic Flux Density [B]			+10% -10%
✖Incidence Angle denotes the angle between the velocity vector of the charged particle and the magnetic field vector.ⓘ Incidence Angle [θ]			+10% -10%

✖The Magnetic Force is a force exerted on a charged particle or a current-carrying wire when it moves through a magnetic field.ⓘ Magnetic Force by Lorentz Force Equation [F_mag]

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Magnetic Force by Lorentz Force Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Magnetic Force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Incidence Angle)))
F_mag = Q*(E_lf+(ν*B*sin(θ)))
This formula uses 1 Functions, 6 Variables

Functions Used

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., sin(Angle)

Variables Used

Magnetic Force - (Measured in Newton) - The Magnetic Force is a force exerted on a charged particle or a current-carrying wire when it moves through a magnetic field.
Charge of Particle - (Measured in Coulomb) - The Charge of Particle is a fundamental property that determines its electromagnetic interactions. Electric charge comes in two types: positive and negative.
Electric Field - (Measured in Volt per Meter) - Electric Field is the force per unit charge experienced by a test charge at a given point in space.
Speed of Charged Particle - (Measured in Meter per Second) - 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.
Magnetic Flux Density - (Measured in Tesla) - 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.
Incidence Angle - (Measured in Radian) - Incidence Angle denotes the angle between the velocity vector of the charged particle and the magnetic field vector.

STEP 1: Convert Input(s) to Base Unit

Charge of Particle: -2E-08 Coulomb --> -2E-08 Coulomb No Conversion Required
Electric Field: 300 Newton per Coulomb --> 300 Volt per Meter (Check conversion here)
Speed of Charged Particle: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Magnetic Flux Density: 0.001973 Tesla --> 0.001973 Tesla No Conversion Required
Incidence Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_mag = Q*(E_lf+(ν*B*sin(θ))) --> (-2E-08)*(300+(5*0.001973*sin(0.5235987755982)))

Evaluating ... ...

F_mag = -6.00009865E-06

STEP 3: Convert Result to Output's Unit

-6.00009865E-06 Newton --> No Conversion Required

FINAL ANSWER

-6.00009865E-06 ≈ -6E-6 Newton <-- Magnetic Force

(Calculation completed in 00.004 seconds)

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Magnetic Force by Lorentz Force Equation Formula

LaTeX Go

Magnetic Force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Incidence Angle)))
F_mag = Q*(E_lf+(ν*B*sin(θ)))

What is the significance lorentz force equation?

Our understanding of electric and magnetic interactions is unified by the Lorentz force equation, which is fundamental to electromagnetism. Its use spans a wide range of disciplines, including technology and particle physics, and it offers a basic framework for researching the movement and behavior of charged particles in the presence of electromagnetic fields. Due to its adaptability, the equation has been used to construct a number of technologies, including motors, electric generators, particle accelerators, and magnetic resonance imaging (MRI) equipment.

How to Calculate Magnetic Force by Lorentz Force Equation?

Magnetic Force by Lorentz Force Equation calculator uses Magnetic Force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Incidence Angle))) to calculate 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 calculate Magnetic Force by Lorentz Force Equation using this online calculator? To use this online calculator 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. Here is how the Magnetic Force by Lorentz Force Equation calculation can be explained with given input values -> -6E-6 = (-2E-08)*(300+(5*0.001973*sin(0.5235987755982))).

FAQ

What is Magnetic Force by Lorentz Force Equation?

Magnetic Force by Lorentz Force Equation describes the force experienced by a charged particle moving through an electromagnetic field and is represented as F_mag = Q*(E_lf+(ν*B*sin(θ))) or Magnetic Force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Incidence Angle))). The Charge of Particle is a fundamental property that determines its electromagnetic interactions. Electric charge comes in two types: positive and negative, Electric Field is the force per unit charge experienced by a test charge at a given point in space, 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, 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 & Incidence Angle denotes the angle between the velocity vector of the charged particle and the magnetic field vector.

How to calculate Magnetic Force by Lorentz Force Equation?

Magnetic Force by Lorentz Force Equation describes the force experienced by a charged particle moving through an electromagnetic field is calculated using Magnetic Force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Incidence Angle))). To calculate Magnetic Force by Lorentz Force Equation, you need Charge of Particle (Q), Electric Field (E_lf), Speed of Charged Particle (ν), Magnetic Flux Density (B) & Incidence Angle (θ). With our tool, you need to enter the respective value for Charge of Particle, Electric Field, Speed of Charged Particle, Magnetic Flux Density & Incidence Angle 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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