Forces on Current Carrying Wires Calculator

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✖Magnetic Flux Density is amount of magnetic flux through unit area taken perpendicular to direction of magnetic flux.ⓘ Magnetic Flux Density [B]			+10% -10%
✖Current in the Coil in the Electro-Magnetic Method of Stream Flow Measurement.ⓘ Current [i]			+10% -10%
✖Length of Conductor is defined as the total length of the conductor carrying current through it.ⓘ Length of Conductor [l]			+10% -10%
✖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.ⓘ Angle between Vectors [θ]			+10% -10%

✖Force between poles is the most elementary force between magnets is the magnetic dipole–dipole interaction.ⓘ Forces on Current Carrying Wires [F]

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Formula

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Forces on Current Carrying Wires

Formula

`"F" = "B"*"i"*"l"*sin("θ")`

Example

`"0.092366N"="0.019T"*"2.5A"*"2750mm"*sin("45°")`

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Forces on Current Carrying Wires Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force = Magnetic Flux Density*Current*Length of Conductor*sin(Angle between Vectors)
F = B*i*l*sin(θ)
This formula uses 1 Functions, 5 Variables

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.
Magnetic Flux Density - (Measured in Tesla) - Magnetic Flux Density is amount of magnetic flux through unit area taken perpendicular to direction of magnetic flux.
Current - (Measured in Ampere) - Current in the Coil in the Electro-Magnetic Method of Stream Flow Measurement.
Length of Conductor - (Measured in Meter) - Length of Conductor is defined as the total length of the conductor carrying current through it.
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

Magnetic Flux Density: 0.019 Tesla --> 0.019 Tesla No Conversion Required
Current: 2.5 Ampere --> 2.5 Ampere No Conversion Required
Length of Conductor: 2750 Millimeter --> 2.75 Meter (Check conversion here)
Angle between Vectors: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = B*i*l*sin(θ) --> 0.019*2.5*2.75*sin(0.785398163397301)

Evaluating ... ...

F = 0.0923658232924792

STEP 3: Convert Result to Output's Unit

0.0923658232924792 Newton --> No Conversion Required

FINAL ANSWER

0.0923658232924792 Newton <-- Force

(Calculation completed in 00.016 seconds)

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Credits

Created by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has created this Calculator and 50+ more calculators!

Verified by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

Aman Dhussawat has verified this Calculator and 9 more calculators!

< 23 Basics of Magnetism Calculators

Mutual Inductance

Go Mutual Inductance = [Permeability-vacuum]*Relative Permeability*Area of Coil*Number of Conductors*Secondary Turns of Coil/Mean Length

Magnetic Potential

Go Magnetic Potential = (Magnetic Moment)/(4*pi*[Permeability-vacuum]*Relative Permeability*Pole Distance)

Flux Density in Toroidal Core

Go Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Current)/(pi*Inner Diameter)

Forces on Charges Moving in Magnetic Fields

Go Force = [Charge-e]*Charge Velocity*Magnetic Flux Density*(sin(Angle between Vectors))

Forces on Current Carrying Wires

Go Force = Magnetic Flux Density*Current*Length of Conductor*sin(Angle between Vectors)

Average Hysteresis Power Loss

Go Hysteresis Loss = Hysteresis Constant*Frequency*(Magnetic Flux Density)^Steinmetz Coefficient

Minimum Frequency to avoid Saturation

Go Frequency = Peak Voltage/(2*pi*Secondary Turns of Coil*Area of Coil)

Reluctance

Go Reluctance = Mean Length/(Magnetic Permeability of a Medium*Area of Coil)

Voltages Induced in Field Cutting Conductors

Go Voltage = Magnetic Flux Density*Length of Conductor*Charge Velocity

Percent Voltage Regulation

Go Percentage Regulation = ((No Load Voltage-Voltage)/Voltage)*100

Self Inductance

Go Self Inductance = (Number of Conductors*Magnetic Flux)/Current

Magnetic Flux Density using Magnetic Field Intensity

Go Magnetic Flux Density = Magnetic Permeability of a Medium*Magnetic Field Intensity

Magnetic Susceptibility

Go Magnetic Susceptibility = Intensity of Magnetization/Magnetic Field Intensity

Energy Stored in Magnetic Field

Go Energy = Magnetic Flux Density/(Magnetic Permeability of a Medium^2)

Intensity of Magnetization

Go Intensity of Magnetization = Magnetic Moment/Volume

Magnetic Flux using Flux Density

Go Magnetic Flux = Magnetic Flux Density*Area of Coil

Magnetic Flux Density

Go Magnetic Flux Density = Magnetic Flux/Area of Coil

Magnetic Field Strength

Go Magnetic Field Strength = Force/Magnetic Moment

Magnetic Flux in Core

Go Magnetic Flux = Magnetomotive Force/Reluctance

Area of Ring

Go Area of Coil = (pi*Inner Diameter^2)/4

Mean Diameter

Go Mean Diameter = Mean Length/pi

Mean Length

Go Mean Length = pi*Mean Diameter

Permeance

Go Magnetic Permeance = 1/Reluctance

Forces on Current Carrying Wires Formula

Force = Magnetic Flux Density*Current*Length of Conductor*sin(Angle between Vectors)
F = B*i*l*sin(θ)

How are Magnetic Fields Produced by Electrical Currents?

When discussing historical discoveries in magnetism, we mentioned Oersted’s finding that a wire carrying an electrical current caused a nearby compass to deflect. The compass needle near the wire experiences a force that aligns the needle tangent to a circle around the wire. Therefore, a current-carrying wire produces circular loops of magnetic field. To determine the direction of the magnetic field generated from a wire, we use a second right-hand rule. In RHR-2, your thumb points in the direction of the current while your fingers wrap around the wire, pointing in the direction of the magnetic field produced.

How to Calculate Forces on Current Carrying Wires?

Forces on Current Carrying Wires calculator uses Force = Magnetic Flux Density*Current*Length of Conductor*sin(Angle between Vectors) to calculate the Force, The Forces on Current Carrying Wires formula is defined as magnetic field exerts a force on a current-carrying wire in a direction given by the right hand rule 1 (the same direction as that on the individual moving charges). This force can easily be large enough to move the wire, since typical currents consist of very large numbers of moving charges. Force is denoted by F symbol.

How to calculate Forces on Current Carrying Wires using this online calculator? To use this online calculator for Forces on Current Carrying Wires, enter Magnetic Flux Density (B), Current (i), Length of Conductor (l) & Angle between Vectors (θ) and hit the calculate button. Here is how the Forces on Current Carrying Wires calculation can be explained with given input values -> 0.092366 = 0.019*2.5*2.75*sin(0.785398163397301).

FAQ

What is Forces on Current Carrying Wires?

The Forces on Current Carrying Wires formula is defined as magnetic field exerts a force on a current-carrying wire in a direction given by the right hand rule 1 (the same direction as that on the individual moving charges). This force can easily be large enough to move the wire, since typical currents consist of very large numbers of moving charges and is represented as F = B*i*l*sin(θ) or Force = Magnetic Flux Density*Current*Length of Conductor*sin(Angle between Vectors). Magnetic Flux Density is amount of magnetic flux through unit area taken perpendicular to direction of magnetic flux, Current in the Coil in the Electro-Magnetic Method of Stream Flow Measurement, Length of Conductor is defined as the total length of the conductor carrying current through it & 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 Current Carrying Wires?

The Forces on Current Carrying Wires formula is defined as magnetic field exerts a force on a current-carrying wire in a direction given by the right hand rule 1 (the same direction as that on the individual moving charges). This force can easily be large enough to move the wire, since typical currents consist of very large numbers of moving charges is calculated using Force = Magnetic Flux Density*Current*Length of Conductor*sin(Angle between Vectors). To calculate Forces on Current Carrying Wires, you need Magnetic Flux Density (B), Current (i), Length of Conductor (l) & Angle between Vectors (θ). With our tool, you need to enter the respective value for Magnetic Flux Density, Current, Length of Conductor & 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 Magnetic Flux Density, Current, Length of Conductor & Angle between Vectors. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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