Magnetic Force by Lorentz Force Equation Calculator

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Magnetic Forces and Materials

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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, 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%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ_em]			+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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Formula

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Magnetic Force by Lorentz Force Equation

Formula

`"F"_{"mag"} = "Q"*("E"_{"lf"}+("ν"*"B"*sin("θ"_{"em"})))`

Example

`"-6E^-6N"="-2e-8C"*("300N/C"+("5m/s"*"0.001973T"*sin("30°")))`

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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(Theta)))
F_mag = Q*(E_lf+(ν*B*sin(θ_em)))
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, 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.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

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
Theta: 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_em))) --> (-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 00.020 seconds)

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Credits

Created by Souradeep Dey

National Institute of Technology Agartala (NITA), Agartala, Tripura

Souradeep Dey has created this Calculator and 25+ more calculators!

Verified by Priyanka Patel

Lalbhai Dalpatbhai College of engineering (LDCE), Ahmedabad

Priyanka Patel has verified this Calculator and 10+ more calculators!

< 20 Magnetic Forces and Materials Calculators

Biot-Savart Equation

Go Magnetic Field Strength = int(Electric Current*x*sin(Theta)/(4*pi*(Perpendicular Distance^2)),x,0,Integral Path Length)

Retarded Vector Magnetic Potential

Go Retarded Vector Magnetic Potential = int((Magnetic Permeability of Medium*Amperes Circuital Current*x)/(4*pi*Perpendicular Distance),x,0,Length)

Biot-Savart Equation using Current Density

Go Magnetic Field Strength = int(Current Density*x*sin(Theta)/(4*pi*(Perpendicular Distance)^2),x,0,Volume)

Vector Magnetic Potential

Go Vector Magnetic Potential = int(([Permeability-vacuum]*Electric Current*x)/(4*pi*Perpendicular Distance),x,0,Integral Path Length)

Vector Magnetic Potential using Current Density

Go Vector Magnetic Potential = int(([Permeability-vacuum]*Current Density*x)/(4*pi*Perpendicular Distance),x,0,Volume)

Magnetic Force by Lorentz Force Equation

Go Magnetic force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Theta)))

Electric Potential in Magnetic Field

Go Electric Potential = int((Volume Charge Density*x)/(4*pi*Permittivity*Perpendicular Distance),x,0,Volume)

Resistance of Cylindrical Conductor

Go Resistance of Cylindrical Conductor = Length of Cylindrical Conductor/(Electrical Conductivity*Cross Sectional Area of Cylindrical)

Magnetic Scalar Potential

Go Magnetic Scalar Potential = -(int(Magnetic Field Strength*x,x,Upper Limit,Lower Limit))

Current Flowing through N-Turn Coil

Go Electric Current = (int(Magnetic Field Strength*x,x,0,Length))/Number of Turns of Coil

Magnetization using Magnetic Field Strength, and Magnetic Flux Density

Go Magnetization = (Magnetic Flux Density/[Permeability-vacuum])-Magnetic Field Strength

Magnetic Flux Density using Magnetic Field Strength, and Magnetization

Go Magnetic Flux Density = [Permeability-vacuum]*(Magnetic Field Strength+Magnetization)

Ampere's Circuital Equation

Go Amperes Circuital Current = int(Magnetic Field Strength*x,x,0,Integral Path Length)

Absolute Permeability using Relative Permeability and Permeability of Free Space

Go Absolute Permeability of Material = Relative Permeability of Material*[Permeability-vacuum]

Electromotive Force about Closed Path

Go Electromotive Force = int(Electric Field*x,x,0,Length)

Free Space Magnetic Flux Density

Go Free space Magnetic Flux Density = [Permeability-vacuum]*Magnetic Field Strength

Net Bound Current

Go Net Bound Current = int(Magnetization,x,0,Length)

Internal Inductance of Long Straight Wire

Go Internal Inductance of Long Straight Wire = Magnetic Permeability/(8*pi)

Magnetomotive Force given Reluctance and Magnetic Flux

Go Magnetomotive Voltage = Magnetic Flux*Reluctance

Magnetic Susceptibility using relative permeability

Go Magnetic Susceptibility = Magnetic Permeability-1

Magnetic Force by Lorentz Force Equation Formula

Magnetic force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Theta)))
F_mag = Q*(E_lf+(ν*B*sin(θ_em)))

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(Theta))) 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) & Theta (θ_em) 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_em))) or Magnetic force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Theta))). The Charge of Particle is a fundamental property that determines its electromagnetic interactions. Electric charge comes in two types: positive and negative, Electric Field, 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 & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

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(Theta))). 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) & Theta (θ_em). With our tool, you need to enter the respective value for Charge of Particle, Electric Field, Speed of Charged Particle, Magnetic Flux Density & Theta 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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