Field Inside Solenoid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solenoid
B = ([Permeability-vacuum]*i*N)/Lsolenoid
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.
Number of Turns - The Number of Turns refers to the total loops or coils in a wire wound around a core. It affects the strength of the magnetic field in devices like solenoids and transformers.
Length of Solenoid - (Measured in Meter) - Length of Solenoid is the distance from one end of the solenoid to the other along its axis. It affects the solenoid's magnetic field strength and inductance.
STEP 1: Convert Input(s) to Base Unit
Electric Current: 0.1249 Ampere --> 0.1249 Ampere No Conversion Required
Number of Turns: 71 --> No Conversion Required
Length of Solenoid: 0.075 Meter --> 0.075 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
B = ([Permeability-vacuum]*i*N)/Lsolenoid --> ([Permeability-vacuum]*0.1249*71)/0.075
Evaluating ... ...
B = 0.000148583090628101
STEP 3: Convert Result to Output's Unit
0.000148583090628101 Tesla -->0.000148583090628101 Weber per Square Meter (Check conversion ​here)
FINAL ANSWER
0.000148583090628101 0.000149 Weber per Square Meter <-- Magnetic Field
(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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National Institute Of Technology (NIT), Hamirpur
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Magnetism Calculators

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​ 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

Field Inside Solenoid Formula

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

What is Solenoid ?


A solenoid is a coil of wire wound into a helical shape, often wrapped around a cylindrical core. When an electric current passes through the coil, it generates a magnetic field similar to that of a bar magnet. Solenoids are used to create controlled magnetic fields and are commonly found in applications such as electromagnetic switches, relays, and inductors.

How to Calculate Field Inside Solenoid?

Field Inside Solenoid calculator uses Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solenoid to calculate the Magnetic Field, Field Inside Solenoid formula is defined as a measure of the magnetic field strength inside a solenoid, which is a type of electrical coil, and is used to calculate the magnetic flux density within the coil. It is an important concept in electromagnetism and is widely used in various applications, including electrical engineering and physics. Magnetic Field is denoted by B symbol.

How to calculate Field Inside Solenoid using this online calculator? To use this online calculator for Field Inside Solenoid, enter Electric Current (i), Number of Turns (N) & Length of Solenoid (Lsolenoid) and hit the calculate button. Here is how the Field Inside Solenoid calculation can be explained with given input values -> 0.000159 = ([Permeability-vacuum]*0.1249*71)/0.075.

FAQ

What is Field Inside Solenoid?
Field Inside Solenoid formula is defined as a measure of the magnetic field strength inside a solenoid, which is a type of electrical coil, and is used to calculate the magnetic flux density within the coil. It is an important concept in electromagnetism and is widely used in various applications, including electrical engineering and physics and is represented as B = ([Permeability-vacuum]*i*N)/Lsolenoid or Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solenoid. 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 Number of Turns refers to the total loops or coils in a wire wound around a core. It affects the strength of the magnetic field in devices like solenoids and transformers & Length of Solenoid is the distance from one end of the solenoid to the other along its axis. It affects the solenoid's magnetic field strength and inductance.
How to calculate Field Inside Solenoid?
Field Inside Solenoid formula is defined as a measure of the magnetic field strength inside a solenoid, which is a type of electrical coil, and is used to calculate the magnetic flux density within the coil. It is an important concept in electromagnetism and is widely used in various applications, including electrical engineering and physics is calculated using Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solenoid. To calculate Field Inside Solenoid, you need Electric Current (i), Number of Turns (N) & Length of Solenoid (Lsolenoid). With our tool, you need to enter the respective value for Electric Current, Number of Turns & Length of Solenoid 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, Number of Turns & Length of Solenoid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Magnetic Field = ([Permeability-vacuum]*Electric Current*Radius of Ring^2)/(2*(Radius of Ring^2+Perpendicular Distance^2)^(3/2))
  • 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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