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Magnetic Field at Center of Arc Calculator

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✖Electric Current is the flow of electric charge through a conductor. It is measured by the amount of charge passing a point in the conductor per unit time.ⓘ Electric Current [i]			+10% -10%
✖Angle Obtained by Arc at Center is the measure of the angle that the arc subtends at the circle's center. This angle depends on the length of the arc and the radius of the circle.ⓘ Angle Obtained by Arc at Center [θ_arc]			+10% -10%
✖The Radius of Ring is the distance from the center of the ring to any point on its circumference. It determines the size and shape of the ring.ⓘ Radius of Ring [r_ring]			+10% -10%

✖Field at Center of Arc is the magnetic field generated at the midpoint of the arc. It is influenced by the amount of current and the radius of the arc.ⓘ Magnetic Field at Center of Arc [M_arc]

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Formula

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Magnetic Field at Center of Arc

Formula

M arc = \frac{[Permeability-vacuum] \cdot i \cdot θ arc}{4 \cdot π \cdot r ring}

Example

1.8E-8 Wb/m² = \frac{[Permeability-vacuum] \cdot 0.1249 A \cdot 0.5 °}{4 \cdot π \cdot 0.006 m}

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Magnetic Field at Center of Arc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Field at Center of Arc = ([Permeability-vacuum]*Electric Current*Angle Obtained by Arc at Center)/(4*pi*Radius of Ring)
M_arc = ([Permeability-vacuum]*i*θ_arc)/(4*pi*r_ring)
This formula uses 2 Constants, 4 Variables

Constants Used

[Permeability-vacuum] - Permeability of vacuum Value Taken As 1.2566E-6
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Field at Center of Arc - (Measured in Tesla) - Field at Center of Arc is the magnetic field generated at the midpoint of the arc. It is influenced by the amount of current and the radius of the arc.
Electric Current - (Measured in Ampere) - Electric Current is the flow of electric charge through a conductor. It is measured by the amount of charge passing a point in the conductor per unit time.
Angle Obtained by Arc at Center - (Measured in Radian) - Angle Obtained by Arc at Center is the measure of the angle that the arc subtends at the circle's center. This angle depends on the length of the arc and the radius of the circle.
Radius of Ring - (Measured in Meter) - The Radius of Ring is the distance from the center of the ring to any point on its circumference. It determines the size and shape of the ring.

STEP 1: Convert Input(s) to Base Unit

Electric Current: 0.1249 Ampere --> 0.1249 Ampere No Conversion Required
Angle Obtained by Arc at Center: 0.5 Degree --> 0.00872664625997001 Radian (Check conversion here)
Radius of Ring: 0.006 Meter --> 0.006 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_arc = ([Permeability-vacuum]*i*θ_arc)/(4*pi*r_ring) --> ([Permeability-vacuum]*0.1249*0.00872664625997001)/(4*pi*0.006)

Evaluating ... ...

M_arc = 1.81659686311709E-08

STEP 3: Convert Result to Output's Unit

1.81659686311709E-08 Tesla -->1.81659686311709E-08 Weber per Square Meter (Check conversion here)

FINAL ANSWER

1.81659686311709E-08 ≈ 1.8E-8 Weber per Square Meter <-- Field at Center of Arc

(Calculation completed in 00.004 seconds)

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Home » Physics » Basic Physics » Electromagnetism » Magnetism » Magnetic Field at Center of Arc

Credits

Created by Aditya Ranjan

Indian Institute of Technology (IIT), Mumbai

Aditya Ranjan has created this Calculator and 6 more calculators!

Verified by Pragati Jaju

College Of Engineering (COEP), Pune

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< Magnetism Calculators

Force between Parallel Wires

Go Magnetic Force per Unit Length = ([Permeability-vacuum]*Electric Current in Conductor 1*Electric Current in Conductor 2)/(2*pi*Perpendicular Distance)

Magnetic Field on Axis of Ring

Go Magnetic Field = ([Permeability-vacuum]*Electric Current*Radius of Ring^2)/(2*(Radius of Ring^2+Perpendicular Distance^2)^(3/2))

Magnetic Field at Center of Arc

Go Field at Center of Arc = ([Permeability-vacuum]*Electric Current*Angle Obtained by Arc at Center)/(4*pi*Radius of Ring)

Field Inside Solenoid

Go Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solenoid

Magnetic Field at Center of Arc Formula

Field at Center of Arc = ([Permeability-vacuum]*Electric Current*Angle Obtained by Arc at Center)/(4*pi*Radius of Ring)
M_arc = ([Permeability-vacuum]*i*θ_arc)/(4*pi*r_ring)

What is Magnetic Flux?

Magnetic flux refers to the total magnetic field passing through a given area. It is the product of the magnetic field strength and the area through which the field lines pass, taking into account the angle between the field lines and the surface. Magnetic flux is a measure of how much magnetic field is 'flowing' through an area and is often used to calculate induced electromotive force in electromagnetic applications.

How to Calculate Magnetic Field at Center of Arc?

Magnetic Field at Center of Arc calculator uses Field at Center of Arc = ([Permeability-vacuum]*Electric Current*Angle Obtained by Arc at Center)/(4*pi*Radius of Ring) to calculate the Field at Center of Arc, Magnetic Field at Center of Arc formula is defined as a measure of the magnetic field strength at the center of an arc-shaped current-carrying wire, which is influenced by the permeability of the surrounding medium, the current flowing through the wire, and the angle subtended by the arc at its center. Field at Center of Arc is denoted by M_arc symbol.

How to calculate Magnetic Field at Center of Arc using this online calculator? To use this online calculator for Magnetic Field at Center of Arc, enter Electric Current (i), Angle Obtained by Arc at Center (θ_arc) & Radius of Ring (r_ring) and hit the calculate button. Here is how the Magnetic Field at Center of Arc calculation can be explained with given input values -> 1.8E-8 = ([Permeability-vacuum]*0.1249*0.00872664625997001)/(4*pi*0.006).

FAQ

What is Magnetic Field at Center of Arc?

Magnetic Field at Center of Arc formula is defined as a measure of the magnetic field strength at the center of an arc-shaped current-carrying wire, which is influenced by the permeability of the surrounding medium, the current flowing through the wire, and the angle subtended by the arc at its center and is represented as M_arc = ([Permeability-vacuum]*i*θ_arc)/(4*pi*r_ring) or Field at Center of Arc = ([Permeability-vacuum]*Electric Current*Angle Obtained by Arc at Center)/(4*pi*Radius of Ring). Electric Current is the flow of electric charge through a conductor. It is measured by the amount of charge passing a point in the conductor per unit time, Angle Obtained by Arc at Center is the measure of the angle that the arc subtends at the circle's center. This angle depends on the length of the arc and the radius of the circle & The Radius of Ring is the distance from the center of the ring to any point on its circumference. It determines the size and shape of the ring.

How to calculate Magnetic Field at Center of Arc?

Magnetic Field at Center of Arc formula is defined as a measure of the magnetic field strength at the center of an arc-shaped current-carrying wire, which is influenced by the permeability of the surrounding medium, the current flowing through the wire, and the angle subtended by the arc at its center is calculated using Field at Center of Arc = ([Permeability-vacuum]*Electric Current*Angle Obtained by Arc at Center)/(4*pi*Radius of Ring). To calculate Magnetic Field at Center of Arc, you need Electric Current (i), Angle Obtained by Arc at Center (θ_arc) & Radius of Ring (r_ring). With our tool, you need to enter the respective value for Electric Current, Angle Obtained by Arc at Center & Radius of Ring 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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