## Forces on Current Carrying Wires Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force = Magnetic Flux Density*Electric Current*Length of Conductor*sin(Angle between Vectors)
F = B*i*l*sin(θ)
This formula uses 1 Functions, 5 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 attraction or repulsion that arises between particles because of the motion.
Magnetic Flux Density - (Measured in Tesla) - Magnetic flux density is equal to the magnetic field strength times the absolute permeability of the region where the field exists. Magnetic flux density formula, B=μH.
Electric Current - (Measured in Ampere) - Electric Current is defined as the rate of flow of electrons in a conductor. The SI Unit of electric current is the Ampere.
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: 0.2 Tesla --> 0.2 Tesla No Conversion Required
Electric Current: 2.89 Ampere --> 2.89 Ampere No Conversion Required
Length of Conductor: 270 Millimeter --> 0.27 Meter (Check conversion ​here)
Angle between Vectors: 90 Degree --> 1.5707963267946 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = B*i*l*sin(θ) --> 0.2*2.89*0.27*sin(1.5707963267946)
Evaluating ... ...
F = 0.15606
STEP 3: Convert Result to Output's Unit
0.15606 Newton --> No Conversion Required
0.15606 Newton <-- Force
(Calculation completed in 00.021 seconds)
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Created by Parminder Singh
Chandigarh University (CU), Punjab
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## < 6 Electrical Specifications Calculators

Forces on Current Carrying Wires
Force = Magnetic Flux Density*Electric Current*Length of Conductor*sin(Angle between Vectors)
Forces on Charges Moving in Magnetic Fields
Force = Electric Charge*Charge Velocity*Magnetic Flux Density*sin(Angle between Vectors)
Minimum Frequency to Avoid Saturation
Frequency = Peak Voltage/(2*pi*Secondary Turns of Coil*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
Energy Stored in Magnetic Field
Energy = Magnetic Flux Density/(Magnetic Permeability of a Medium^2)

## Forces on Current Carrying Wires Formula

Force = Magnetic Flux Density*Electric 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*Electric 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), Electric 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 -> 0.15606 = 0.2*2.89*0.27*sin(1.5707963267946).

### 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*Electric Current*Length of Conductor*sin(Angle between Vectors). Magnetic flux density is equal to the magnetic field strength times the absolute permeability of the region where the field exists. Magnetic flux density formula, B=μH, Electric Current is defined as the rate of flow of electrons in a conductor. The SI Unit of electric current is the Ampere, 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*Electric Current*Length of Conductor*sin(Angle between Vectors). To calculate Forces on Current Carrying Wires, you need Magnetic Flux Density (B), Electric Current (i), Length of Conductor (l) & Angle between Vectors (θ). With our tool, you need to enter the respective value for Magnetic Flux Density, Electric 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, Electric Current, Length of Conductor & Angle between Vectors. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Force = Electric Charge*Charge Velocity*Magnetic Flux Density*sin(Angle between Vectors)
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