## Flux Density in Toroidal Core Solution

STEP 0: Pre-Calculation Summary
Formula Used
Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Current)/(pi*Inner Diameter)
B = (μr*N2*i)/(pi*d)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Magnetic Flux Density - (Measured in Tesla) - Magnetic Flux Density is amount of magnetic flux through unit area taken perpendicular to direction of magnetic flux.
Relative Permeability - (Measured in Henry per Meter) - Relative Permeability is the ratio of effective permeability of a particular fluid at a particular saturation to absolute permeability of that fluid at total saturation.
Secondary Turns of Coil - Secondary turns of coil is number of turns of 2nd winding or number of turns of secondary winding of transformer.
Current - (Measured in Ampere) - Current in the Coil in the Electro-Magnetic Method of Stream Flow Measurement.
Inner Diameter - (Measured in Meter) - The inner diameter measures the inside of the object. Calculating the internal diameter depends on the outside diameter and the thickness of the outer circle.
STEP 1: Convert Input(s) to Base Unit
Relative Permeability: 1.3 Henry per Meter --> 1.3 Henry per Meter No Conversion Required
Secondary Turns of Coil: 105 --> No Conversion Required
Current: 2.5 Ampere --> 2.5 Ampere No Conversion Required
Inner Diameter: 15 Millimeter --> 0.015 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
B = (μr*N2*i)/(pi*d) --> (1.3*105*2.5)/(pi*0.015)
Evaluating ... ...
B = 7241.54991068124
STEP 3: Convert Result to Output's Unit
7241.54991068124 Tesla --> No Conversion Required
7241.54991068124 Tesla <-- Magnetic Flux Density
(Calculation completed in 00.000 seconds)
You are here -
Home »

## Credits

Created by Parminder Singh
Chandigarh University (CU), Punjab
Parminder Singh has created this Calculator and 50+ more calculators!
Verified by Aman Dhussawat
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
Aman Dhussawat has verified this Calculator and 9 more calculators!

## < 23 Basics of Magnetism Calculators

Mutual Inductance
Mutual Inductance = [Permeability-vacuum]*Relative Permeability*Area of Coil*Number of Conductors*Secondary Turns of Coil/Mean Length
Magnetic Potential
Magnetic Potential = (Magnetic Moment)/(4*pi*[Permeability-vacuum]*Relative Permeability*Pole Distance)
Flux Density in Toroidal Core
Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Current)/(pi*Inner Diameter)
Forces on Charges Moving in Magnetic Fields
Force = [Charge-e]*Charge Velocity*Magnetic Flux Density*(sin(Angle between Vectors))
Forces on Current Carrying Wires
Force = Magnetic Flux Density*Current*Length of Conductor*sin(Angle between Vectors)
Average Hysteresis Power Loss
Hysteresis Loss = Hysteresis Constant*Frequency*(Magnetic Flux Density)^Steinmetz Coefficient
Minimum Frequency to avoid Saturation
Frequency = Peak Voltage/(2*pi*Secondary Turns of Coil*Area of Coil)
Reluctance
Reluctance = Mean Length/(Magnetic Permeability of a Medium*Area of Coil)
Voltages Induced in Field Cutting Conductors
Voltage = Magnetic Flux Density*Length of Conductor*Charge Velocity
Percent Voltage Regulation
Percentage Regulation = ((No Load Voltage-Voltage)/Voltage)*100
Self Inductance
Self Inductance = (Number of Conductors*Magnetic Flux)/Current
Magnetic Flux Density using Magnetic Field Intensity
Magnetic Flux Density = Magnetic Permeability of a Medium*Magnetic Field Intensity
Magnetic Susceptibility
Magnetic Susceptibility = Intensity of Magnetization/Magnetic Field Intensity
Energy Stored in Magnetic Field
Energy = Magnetic Flux Density/(Magnetic Permeability of a Medium^2)
Intensity of Magnetization
Intensity of Magnetization = Magnetic Moment/Volume
Magnetic Flux using Flux Density
Magnetic Flux = Magnetic Flux Density*Area of Coil
Magnetic Flux Density
Magnetic Flux Density = Magnetic Flux/Area of Coil
Magnetic Field Strength
Magnetic Field Strength = Force/Magnetic Moment
Magnetic Flux in Core
Magnetic Flux = Magnetomotive Force/Reluctance
Area of Ring
Area of Coil = (pi*Inner Diameter^2)/4
Mean Diameter
Mean Diameter = Mean Length/pi
Mean Length
Mean Length = pi*Mean Diameter
Permeance
Magnetic Permeance = 1/Reluctance

## Flux Density in Toroidal Core Formula

Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Current)/(pi*Inner Diameter)
B = (μr*N2*i)/(pi*d)

## What is a Toroid?

A toroid can be considered as a circular solenoid that is used in an electric circuit, as an inductor at low frequencies when large inductances are required.

The first toroid was invented in 1830 by the physicist Michael Faraday. He noticed that the change in the magnetic field resulted in the voltage in a wire. This phenomenon is known as Faraday’s law of induction.

## How to Calculate Flux Density in Toroidal Core?

Flux Density in Toroidal Core calculator uses Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Current)/(pi*Inner Diameter) to calculate the Magnetic Flux Density, The Flux Density in Toroidal Core formula is defined as magnetic field points in the direction of the curled fingers of the right hand when the thumb of the right hand is aligned in the direction of current flow. Magnetic Flux Density is denoted by B symbol.

How to calculate Flux Density in Toroidal Core using this online calculator? To use this online calculator for Flux Density in Toroidal Core, enter Relative Permeability r), Secondary Turns of Coil (N2), Current (i) & Inner Diameter (d) and hit the calculate button. Here is how the Flux Density in Toroidal Core calculation can be explained with given input values -> 7241.55 = (1.3*105*2.5)/(pi*0.015).

### FAQ

What is Flux Density in Toroidal Core?
The Flux Density in Toroidal Core formula is defined as magnetic field points in the direction of the curled fingers of the right hand when the thumb of the right hand is aligned in the direction of current flow and is represented as B = (μr*N2*i)/(pi*d) or Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Current)/(pi*Inner Diameter). Relative Permeability is the ratio of effective permeability of a particular fluid at a particular saturation to absolute permeability of that fluid at total saturation, Secondary turns of coil is number of turns of 2nd winding or number of turns of secondary winding of transformer, Current in the Coil in the Electro-Magnetic Method of Stream Flow Measurement & The inner diameter measures the inside of the object. Calculating the internal diameter depends on the outside diameter and the thickness of the outer circle.
How to calculate Flux Density in Toroidal Core?
The Flux Density in Toroidal Core formula is defined as magnetic field points in the direction of the curled fingers of the right hand when the thumb of the right hand is aligned in the direction of current flow is calculated using Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Current)/(pi*Inner Diameter). To calculate Flux Density in Toroidal Core, you need Relative Permeability r), Secondary Turns of Coil (N2), Current (i) & Inner Diameter (d). With our tool, you need to enter the respective value for Relative Permeability, Secondary Turns of Coil, Current & Inner Diameter 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 Flux Density?
In this formula, Magnetic Flux Density uses Relative Permeability, Secondary Turns of Coil, Current & Inner Diameter. We can use 2 other way(s) to calculate the same, which is/are as follows -
• Magnetic Flux Density = Magnetic Flux/Area of Coil
• Magnetic Flux Density = Magnetic Permeability of a Medium*Magnetic Field Intensity
Let Others Know