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Magnetic Field on Axis of Ring 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%
✖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%
✖Perpendicular Distance is the shortest distance between a point and a line or surface, measured at a right angle to the line or surface.ⓘ Perpendicular Distance [d]			+10% -10%

✖The Magnetic Field is a vector field around a magnet or electric current that exerts force on other magnets or moving charges. It is described by both direction and strength.ⓘ Magnetic Field on Axis of Ring [B]

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Magnetic Field on Axis of Ring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Magnetic Field = ([Permeability-vacuum]*Electric Current*Radius of Ring^2)/(2*(Radius of Ring^2+Perpendicular Distance^2)^(3/2))
B = ([Permeability-vacuum]*i*r_ring^2)/(2*(r_ring^2+d^2)^(3/2))
This formula uses 1 Constants, 4 Variables

Constants Used

[Permeability-vacuum] - Permeability of vacuum Value Taken As 1.2566E-6

Variables Used

Magnetic Field - (Measured in Tesla) - The Magnetic Field is a vector field around a magnet or electric current that exerts force on other magnets or moving charges. It is described by both direction and strength.
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.
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.
Perpendicular Distance - (Measured in Meter) - Perpendicular Distance is the shortest distance between a point and a line or surface, measured at a right angle to the line or surface.

STEP 1: Convert Input(s) to Base Unit

Electric Current: 0.1249 Ampere --> 0.1249 Ampere No Conversion Required
Radius of Ring: 0.006 Meter --> 0.006 Meter No Conversion Required
Perpendicular Distance: 0.00171 Meter --> 0.00171 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = ([Permeability-vacuum]*i*r_ring^2)/(2*(r_ring^2+d^2)^(3/2)) --> ([Permeability-vacuum]*0.1249*0.006^2)/(2*(0.006^2+0.00171^2)^(3/2))

Evaluating ... ...

B = 1.1633675292799E-05

STEP 3: Convert Result to Output's Unit

1.1633675292799E-05 Tesla -->1.1633675292799E-05 Weber per Square Meter (Check conversion here)

FINAL ANSWER

1.1633675292799E-05 ≈ 1.2E-5 Weber per Square Meter <-- Magnetic Field

(Calculation completed in 00.004 seconds)

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Created by Mayank Tayal

National Institute of Technology (NIT), Durgapur

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K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< Magnetism Calculators

Force between Parallel Wires

LaTeX 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

LaTeX 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

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

Field Inside Solenoid

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

Magnetic Field on Axis of Ring Formula

LaTeX Go

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

What is Electric Current?

Electric current is the flow of electric charge through a conductor. It is measured in amperes and can be either direct (DC), where the flow of charge is constant in one direction, or alternating (AC), where the flow of charge periodically reverses direction. Electric current powers devices and circuits by transferring energy from a power source to various electrical components.

How to Calculate Magnetic Field on Axis of Ring?

Magnetic Field on Axis of Ring calculator uses Magnetic Field = ([Permeability-vacuum]*Electric Current*Radius of Ring^2)/(2*(Radius of Ring^2+Perpendicular Distance^2)^(3/2)) to calculate the Magnetic Field, Magnetic Field on Axis of Ring formula is defined as a measure of the magnetic field strength at a point on the axis of a current-carrying ring, which is influenced by the ring's dimensions, the current flowing through it, and the permeability of the surrounding medium. Magnetic Field is denoted by B symbol.

How to calculate Magnetic Field on Axis of Ring using this online calculator? To use this online calculator for Magnetic Field on Axis of Ring, enter Electric Current (i), Radius of Ring (r_ring) & Perpendicular Distance (d) and hit the calculate button. Here is how the Magnetic Field on Axis of Ring calculation can be explained with given input values -> 1.3E-5 = ([Permeability-vacuum]*0.1249*0.006^2)/(2*(0.006^2+0.00171^2)^(3/2)).

FAQ

What is Magnetic Field on Axis of Ring?

Magnetic Field on Axis of Ring formula is defined as a measure of the magnetic field strength at a point on the axis of a current-carrying ring, which is influenced by the ring's dimensions, the current flowing through it, and the permeability of the surrounding medium and is represented as B = ([Permeability-vacuum]*i*r_ring^2)/(2*(r_ring^2+d^2)^(3/2)) or Magnetic Field = ([Permeability-vacuum]*Electric Current*Radius of Ring^2)/(2*(Radius of Ring^2+Perpendicular Distance^2)^(3/2)). 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, 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 & Perpendicular Distance is the shortest distance between a point and a line or surface, measured at a right angle to the line or surface.

How to calculate Magnetic Field on Axis of Ring?

Magnetic Field on Axis of Ring formula is defined as a measure of the magnetic field strength at a point on the axis of a current-carrying ring, which is influenced by the ring's dimensions, the current flowing through it, and the permeability of the surrounding medium is calculated using Magnetic Field = ([Permeability-vacuum]*Electric Current*Radius of Ring^2)/(2*(Radius of Ring^2+Perpendicular Distance^2)^(3/2)). To calculate Magnetic Field on Axis of Ring, you need Electric Current (i), Radius of Ring (r_ring) & Perpendicular Distance (d). With our tool, you need to enter the respective value for Electric Current, Radius of Ring & Perpendicular Distance 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 Magnetic Field?

In this formula, Magnetic Field uses Electric Current, Radius of Ring & Perpendicular Distance. We can use 3 other way(s) to calculate the same, which is/are as follows -

Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solenoid
Magnetic Field = ([Permeability-vacuum]*Electric Current)/(4*pi*Perpendicular Distance)*(cos(Theta 1)-cos(Theta 2))
Magnetic Field = ([Permeability-vacuum]*Electric Current)/(2*pi*Perpendicular Distance)

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