## Forces on Charges Moving in Magnetic Fields Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force = [Charge-e]*Charge Velocity*Magnetic Flux Density*(sin(Angle between Vectors))
F = [Charge-e]*u*B*(sin(θ))
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19 Coulomb
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Force - (Measured in Newton) - Force between poles is the most elementary force between magnets is the magnetic dipole–dipole interaction.
Charge Velocity - (Measured in Meter per Second) - Charge Velocity is defined as the speed with which charge drifts in a conductor.
Magnetic Flux Density - (Measured in Tesla) - Magnetic Flux Density is amount of magnetic flux through unit area taken perpendicular to direction of magnetic flux.
Angle between Vectors - (Measured in Radian) - Angle between Vectors is defined as the angle made by the two vectors on a two phase plane with respect to the direction of movement of each other.
STEP 1: Convert Input(s) to Base Unit
Charge Velocity: 4250000 Meter per Second --> 4250000 Meter per Second No Conversion Required
Magnetic Flux Density: 0.019 Tesla --> 0.019 Tesla No Conversion Required
Angle between Vectors: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = [Charge-e]*u*B*(sin(θ)) --> [Charge-e]*4250000*0.019*(sin(0.785398163397301))
Evaluating ... ...
F = 9.14824786773253E-15
STEP 3: Convert Result to Output's Unit
9.14824786773253E-15 Newton --> No Conversion Required
9.14824786773253E-15 Newton <-- Force
(Calculation completed in 00.000 seconds)
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Chandigarh University (CU), Punjab
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## < 23 Basics of Magnetism Calculators

Mutual Inductance
Mutual Inductance = [Permeability-vacuum]*Relative Permeability*Area of Coil*Number of Conductors*Secondary Turns of Coil/Mean Length
Magnetic Potential
Magnetic Potential = (Magnetic Moment)/(4*pi*[Permeability-vacuum]*Relative Permeability*Pole Distance)
Flux Density in Toroidal Core
Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Current)/(pi*Inner Diameter)
Forces on Charges Moving in Magnetic Fields
Force = [Charge-e]*Charge Velocity*Magnetic Flux Density*(sin(Angle between Vectors))
Forces on Current Carrying Wires
Force = Magnetic Flux Density*Current*Length of Conductor*sin(Angle between Vectors)
Average Hysteresis Power Loss
Hysteresis Loss = Hysteresis Constant*Frequency*(Magnetic Flux Density)^Steinmetz Coefficient
Minimum Frequency to avoid Saturation
Frequency = Peak Voltage/(2*pi*Secondary Turns of Coil*Area of Coil)
Reluctance
Reluctance = Mean Length/(Magnetic Permeability of a Medium*Area of Coil)
Voltages Induced in Field Cutting Conductors
Voltage = Magnetic Flux Density*Length of Conductor*Charge Velocity
Percent Voltage Regulation
Percentage Regulation = ((No Load Voltage-Voltage)/Voltage)*100
Self Inductance
Self Inductance = (Number of Conductors*Magnetic Flux)/Current
Magnetic Flux Density using Magnetic Field Intensity
Magnetic Flux Density = Magnetic Permeability of a Medium*Magnetic Field Intensity
Magnetic Susceptibility
Magnetic Susceptibility = Intensity of Magnetization/Magnetic Field Intensity
Energy Stored in Magnetic Field
Energy = Magnetic Flux Density/(Magnetic Permeability of a Medium^2)
Intensity of Magnetization
Intensity of Magnetization = Magnetic Moment/Volume
Magnetic Flux using Flux Density
Magnetic Flux = Magnetic Flux Density*Area of Coil
Magnetic Flux Density
Magnetic Flux Density = Magnetic Flux/Area of Coil
Magnetic Field Strength
Magnetic Field Strength = Force/Magnetic Moment
Magnetic Flux in Core
Magnetic Flux = Magnetomotive Force/Reluctance
Area of Ring
Area of Coil = (pi*Inner Diameter^2)/4
Mean Diameter
Mean Diameter = Mean Length/pi
Mean Length
Mean Length = pi*Mean Diameter
Permeance
Magnetic Permeance = 1/Reluctance

## Forces on Charges Moving in Magnetic Fields Formula

Force = [Charge-e]*Charge Velocity*Magnetic Flux Density*(sin(Angle between Vectors))
F = [Charge-e]*u*B*(sin(θ))

## Define magnetic flux through an area?

Magnetic flux is a measure of the quantity of magnetism, being the total number of magnetic lines of force passing through a specified area in a magnetic field. Magnetic flux through a plane of area A placed in a uniform magnetic field B can be written as
ϕ =B.A=BAcosθ

## How to Calculate Forces on Charges Moving in Magnetic Fields?

Forces on Charges Moving in Magnetic Fields calculator uses Force = [Charge-e]*Charge Velocity*Magnetic Flux Density*(sin(Angle between Vectors)) to calculate the Force, The Forces on Charges Moving in Magnetic Fields formula is defined as the force acting on a charge perpendicular to the direction of its movement through a magnetic field. Force is denoted by F symbol.

How to calculate Forces on Charges Moving in Magnetic Fields using this online calculator? To use this online calculator for Forces on Charges Moving in Magnetic Fields, enter Charge Velocity (u), Magnetic Flux Density (B) & Angle between Vectors (θ) and hit the calculate button. Here is how the Forces on Charges Moving in Magnetic Fields calculation can be explained with given input values -> 9.1E-15 = [Charge-e]*4250000*0.019*(sin(0.785398163397301)).

### FAQ

What is Forces on Charges Moving in Magnetic Fields?
The Forces on Charges Moving in Magnetic Fields formula is defined as the force acting on a charge perpendicular to the direction of its movement through a magnetic field and is represented as F = [Charge-e]*u*B*(sin(θ)) or Force = [Charge-e]*Charge Velocity*Magnetic Flux Density*(sin(Angle between Vectors)). Charge Velocity is defined as the speed with which charge drifts in a conductor, Magnetic Flux Density is amount of magnetic flux through unit area taken perpendicular to direction of magnetic flux & Angle between Vectors is defined as the angle made by the two vectors on a two phase plane with respect to the direction of movement of each other.
How to calculate Forces on Charges Moving in Magnetic Fields?
The Forces on Charges Moving in Magnetic Fields formula is defined as the force acting on a charge perpendicular to the direction of its movement through a magnetic field is calculated using Force = [Charge-e]*Charge Velocity*Magnetic Flux Density*(sin(Angle between Vectors)). To calculate Forces on Charges Moving in Magnetic Fields, you need Charge Velocity (u), Magnetic Flux Density (B) & Angle between Vectors (θ). With our tool, you need to enter the respective value for Charge Velocity, Magnetic Flux Density & Angle between Vectors and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Force?
In this formula, Force uses Charge Velocity, Magnetic Flux Density & Angle between Vectors. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Force = Magnetic Flux Density*Current*Length of Conductor*sin(Angle between Vectors)
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