Field Inside Solenoid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solonoid
B = ([Permeability-vacuum]*i*N)/L
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) - Magnetic fields are produced by electric currents, which can be macroscopic currents in wires, or microscopic currents associated with electrons in atomic orbits.
Electric Current - (Measured in Ampere) - Electric Current is the time rate of flow of charge through a cross sectional area.
Number of Turns - Number of Turns specifies the number of turns of the coil under testing.
Length of Solonoid - (Measured in Meter) - Length of Solonoid is the measurement or extent of something from end to end.
STEP 1: Convert Input(s) to Base Unit
Electric Current: 2.2 Ampere --> 2.2 Ampere No Conversion Required
Number of Turns: 100 --> No Conversion Required
Length of Solonoid: 3000 Millimeter --> 3 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
B = ([Permeability-vacuum]*i*N)/L --> ([Permeability-vacuum]*2.2*100)/3
Evaluating ... ...
B = 9.21533845053006E-05
STEP 3: Convert Result to Output's Unit
9.21533845053006E-05 Tesla -->9.21533845053006E-05 Weber per Square Meter (Check conversion here)
FINAL ANSWER
9.21533845053006E-05 9.2E-5 Weber per Square Meter <-- Magnetic Field
(Calculation completed in 00.004 seconds)

Credits

Created by Aditya Ranjan
Indian Institute of Technology (IIT), Mumbai
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National Institute Of Technology (NIT), Hamirpur
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15 Magnetic Field due to Current Calculators

Magnetic Field due to Straight Conductor
Go Magnetic Field = ([Permeability-vacuum]*Electric Current)/(4*pi*Perpendicular Distance)*(cos(Theta 1)-cos(Theta 2))
Magnetic Field for Tangent Galvanometer
Go Horizontal Component of Earth's Magnetic Field = ([Permeability-vacuum]*Number of Turns of Coil*Electric Current)/(2*Radius of Ring*tan(Angle of Deflection of Galvanometer))
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)
Current in Moving Coil Galvanometer
Go Electric Current = (Spring Constant*Angle of Deflection of Galvanometer)/(Number of Turns of Coil*Cross-Sectional Area*Magnetic Field)
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))
Time Period of Magnetometer
Go Time Period of Magnetometer = 2*pi*sqrt(Moment of Inertia/(Magnetic Moment*Horizontal Component of Earth's Magnetic Field))
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 of Bar Magnet at Equatorial position
Go Field at Equitorial Position of Bar Magnet = ([Permeability-vacuum]*Magnetic Moment)/(4*pi*Distance from Center to Point^3)
Field of Bar Magnet at Axial position
Go Field at Axial Position of Bar Magnet = (2*[Permeability-vacuum]*Magnetic Moment)/(4*pi*Distance from Center to Point^3)
Field Inside Solenoid
Go Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solonoid
Magnetic Field Due to Infinite Straight Wire
Go Magnetic Field = ([Permeability-vacuum]*Electric Current)/(2*pi*Perpendicular Distance)
Electric Current for Tangent Galvanometer
Go Electric Current = Reduction Factor of Tangent Galvanometer*tan(Angle of Deflection of Galvanometer)
Angle of Dip
Go Angle of Dip = arccos(Horizontal Component of Earth's Magnetic Field/Net Earth's Magnetic Field)
Magnetic Field at Center of Ring
Go Field at Center of Ring = ([Permeability-vacuum]*Electric Current)/(2*Radius of Ring)
Magnetic Permeability
Go Magnetic Permeability of Medium = Magnetic Field/Magnetic Field Intensity

Field Inside Solenoid Formula

Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solonoid
B = ([Permeability-vacuum]*i*N)/L

What is the field inside a solenoid ?

A solenoid is a coil of wire designed to create a strong magnetic field inside the coil. By wrapping the same wire many times around a cylinder, the magnetic field due to the wires can become quite strong. The number of turns N refers to the number of loops the solenoid has. More loops will bring about a stronger magnetic field. The formula for the field inside the solenoid is

B = m0 I N / L
The magnetic field inside a solenoid is proportional to both the applied current and the number of turns per unit length. There is no dependence on the diameter of the solenoid, and the field strength doesn't depend on the position inside the solenoid, i.e., the field inside is constant.

How to Calculate Field Inside Solenoid?

Field Inside Solenoid calculator uses Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solonoid to calculate the Magnetic Field, The field inside solenoid is proportional to both the applied current and the number of turns per unit length. There is no dependence on the diameter of the solenoid, and the field strength doesn't depend on the position inside the solenoid, i.e., the field inside is constant. 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 Solonoid (L) and hit the calculate button. Here is how the Field Inside Solenoid calculation can be explained with given input values -> 9.2E-5 = ([Permeability-vacuum]*2.2*100)/3.

FAQ

What is Field Inside Solenoid?
The field inside solenoid is proportional to both the applied current and the number of turns per unit length. There is no dependence on the diameter of the solenoid, and the field strength doesn't depend on the position inside the solenoid, i.e., the field inside is constant and is represented as B = ([Permeability-vacuum]*i*N)/L or Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solonoid. Electric Current is the time rate of flow of charge through a cross sectional area, Number of Turns specifies the number of turns of the coil under testing & Length of Solonoid is the measurement or extent of something from end to end.
How to calculate Field Inside Solenoid?
The field inside solenoid is proportional to both the applied current and the number of turns per unit length. There is no dependence on the diameter of the solenoid, and the field strength doesn't depend on the position inside the solenoid, i.e., the field inside is constant is calculated using Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solonoid. To calculate Field Inside Solenoid, you need Electric Current (i), Number of Turns (N) & Length of Solonoid (L). With our tool, you need to enter the respective value for Electric Current, Number of Turns & Length of Solonoid 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 Solonoid. 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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