## 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
0.0923658232924792 Newton <-- Force
(Calculation completed in 00.016 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 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)) Let Others Know