Magnetic Field at Center of Ring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Field at Center of Ring = ([Permeability-vacuum]*Electric Current)/(2*Radius of Ring)
Mring = ([Permeability-vacuum]*i)/(2*rring)
This formula uses 1 Constants, 3 Variables
Constants Used
[Permeability-vacuum] - Permeability of vacuum Value Taken As 1.2566E-6
Variables Used
Field at Center of Ring - (Measured in Tesla) - Field at Center of Ring is the magnetic field generated at the midpoint of the ring's axis. It is directly proportional to the current and inversely proportional to the radius of the ring.
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 Centimeter) - 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
Radius of Ring: 0.006 Meter --> 0.6 Centimeter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mring = ([Permeability-vacuum]*i)/(2*rring) --> ([Permeability-vacuum]*0.1249)/(2*0.6)
Evaluating ... ...
Mring = 1.30794974144455E-07
STEP 3: Convert Result to Output's Unit
1.30794974144455E-07 Tesla -->1.30794974144455E-07 Weber per Square Meter (Check conversion ​here)
FINAL ANSWER
1.30794974144455E-07 1.3E-7 Weber per Square Meter <-- Field at Center of Ring
(Calculation completed in 00.004 seconds)

Credits

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Created by Aditya Ranjan
Indian Institute of Technology (IIT), Mumbai
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Magnetic Field at Center of Ring Formula

​LaTeX ​Go
Field at Center of Ring = ([Permeability-vacuum]*Electric Current)/(2*Radius of Ring)
Mring = ([Permeability-vacuum]*i)/(2*rring)

What is Magnetic Force ?

Magnetic force is the force exerted by a magnetic field on moving electric charges or on other magnetic materials. It acts perpendicular to both the direction of the magnetic field and the velocity of the moving charges. This force can cause charged particles to move in circular paths or change their direction, and it is responsible for various phenomena, including the operation of electric motors and generators.

How to Calculate Magnetic Field at Center of Ring?

Magnetic Field at Center of Ring calculator uses Field at Center of Ring = ([Permeability-vacuum]*Electric Current)/(2*Radius of Ring) to calculate the Field at Center of Ring, Magnetic Field at Center of Ring formula is defined as a measure of the magnetic induction at the center of a circular ring, which is a fundamental concept in electromagnetism, used to calculate the magnetic field strength at the center of a ring-shaped current-carrying conductor. Field at Center of Ring is denoted by Mring symbol.

How to calculate Magnetic Field at Center of Ring using this online calculator? To use this online calculator for Magnetic Field at Center of Ring, enter Electric Current (i) & Radius of Ring (rring) and hit the calculate button. Here is how the Magnetic Field at Center of Ring calculation can be explained with given input values -> 1.3E-7 = ([Permeability-vacuum]*0.1249)/(2*0.006).

FAQ

What is Magnetic Field at Center of Ring?
Magnetic Field at Center of Ring formula is defined as a measure of the magnetic induction at the center of a circular ring, which is a fundamental concept in electromagnetism, used to calculate the magnetic field strength at the center of a ring-shaped current-carrying conductor and is represented as Mring = ([Permeability-vacuum]*i)/(2*rring) or Field at Center of Ring = ([Permeability-vacuum]*Electric Current)/(2*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 & 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 Ring?
Magnetic Field at Center of Ring formula is defined as a measure of the magnetic induction at the center of a circular ring, which is a fundamental concept in electromagnetism, used to calculate the magnetic field strength at the center of a ring-shaped current-carrying conductor is calculated using Field at Center of Ring = ([Permeability-vacuum]*Electric Current)/(2*Radius of Ring). To calculate Magnetic Field at Center of Ring, you need Electric Current (i) & Radius of Ring (rring). With our tool, you need to enter the respective value for Electric Current & 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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