Force on Current Element in Magnetic Field Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force = Current Element*Magnetic Flux Density*sin(Angle between Planes)
F = iL*B*sin(θ)
This formula uses 1 Functions, 4 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
Force - (Measured in Newton) - Force is defined as the repulsion or attraction acting on a current carrying conductor when placed in a magnetic field.
Current Element - (Measured in Meter) - Current Element as a current segment or infinitesimal current, refers to a small length of a current-carrying conductor with a uniform current flowing through it.
Magnetic Flux Density - (Measured in Tesla) - Magnetic Flux Density describes the strength and direction of the magnetic field in a given region of space.
Angle between Planes - (Measured in Radian) - Angle between Planes refers to the angular disarrangement between the planes of magnetic flux density and current element.
STEP 1: Convert Input(s) to Base Unit
Current Element: 0.48 Meter --> 0.48 Meter No Conversion Required
Magnetic Flux Density: 2 Weber per Square Meter --> 2 Tesla (Check conversion here)
Angle between Planes: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = iL*B*sin(θ) --> 0.48*2*sin(0.785398163397301)
Evaluating ... ...
F = 0.678822509938986
STEP 3: Convert Result to Output's Unit
0.678822509938986 Newton --> No Conversion Required
FINAL ANSWER
0.678822509938986 0.678823 Newton <-- Force
(Calculation completed in 00.020 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Current Density due to Electrons
Go Electron Current Density = [Charge-e]*Electron Concentration*Mobility of Electron*Electric Field Intensity
Current Density due to Holes
Go Holes Current Density = [Charge-e]*Holes Concentration*Mobility of Holes*Electric Field Intensity
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Go Electron Diffusion Constant = Mobility of Electron*(([BoltZ]*Temperature)/[Charge-e])
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Go Holes Diffusion Constant = Mobility of Holes*(([BoltZ]*Temperature)/[Charge-e])
Intrinsic Carrier Concentration under Non-Equilibrium Conditions
Go Intrinsic Carrier Concentration = sqrt(Majority Carrier Concentration*Minority Carrier Concentration)
Force on Current Element in Magnetic Field
Go Force = Current Element*Magnetic Flux Density*sin(Angle between Planes)
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Go Velocity due to Voltage = sqrt((2*[Charge-e]*Voltage)/[Mass-e])
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Go Period of Particle Circular Path = (2*3.14*[Mass-e])/(Magnetic Field Strength*[Charge-e])
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Go Holes Diffusion Length = sqrt(Holes Diffusion Constant*Hole Carrier Lifetime)
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Go Conductivity = Electron Concentration*[Charge-e]*Mobility of Electron
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Thermal Voltage using Einstein's Equation
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Force on Current Element in Magnetic Field Formula

Force = Current Element*Magnetic Flux Density*sin(Angle between Planes)
F = iL*B*sin(θ)

What happens when a current element is placed in magnetic field?

The force on a current element in a magnetic field is a result of the interaction between the magnetic field and the moving charges in the conductor. This force plays a crucial role in various electromagnetic phenomena, including the behavior of conductors in magnetic fields, the operation of electric motors, and the generation of magnetic fields due to current flow.

How to Calculate Force on Current Element in Magnetic Field?

Force on Current Element in Magnetic Field calculator uses Force = Current Element*Magnetic Flux Density*sin(Angle between Planes) to calculate the Force, Force on Current Element in Magnetic Field is the force which is exerted on a current carrying conductor when placed in a magnetic field. Force is denoted by F symbol.

How to calculate Force on Current Element in Magnetic Field using this online calculator? To use this online calculator for Force on Current Element in Magnetic Field, enter Current Element (iL), Magnetic Flux Density (B) & Angle between Planes (θ) and hit the calculate button. Here is how the Force on Current Element in Magnetic Field calculation can be explained with given input values -> 0.678823 = 0.48*2*sin(0.785398163397301).

FAQ

What is Force on Current Element in Magnetic Field?
Force on Current Element in Magnetic Field is the force which is exerted on a current carrying conductor when placed in a magnetic field and is represented as F = iL*B*sin(θ) or Force = Current Element*Magnetic Flux Density*sin(Angle between Planes). Current Element as a current segment or infinitesimal current, refers to a small length of a current-carrying conductor with a uniform current flowing through it, Magnetic Flux Density describes the strength and direction of the magnetic field in a given region of space & Angle between Planes refers to the angular disarrangement between the planes of magnetic flux density and current element.
How to calculate Force on Current Element in Magnetic Field?
Force on Current Element in Magnetic Field is the force which is exerted on a current carrying conductor when placed in a magnetic field is calculated using Force = Current Element*Magnetic Flux Density*sin(Angle between Planes). To calculate Force on Current Element in Magnetic Field, you need Current Element (iL), Magnetic Flux Density (B) & Angle between Planes (θ). With our tool, you need to enter the respective value for Current Element, Magnetic Flux Density & Angle between Planes 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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