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Home » Analyzing Electric Circuits » Maximum Flux Density (Bmax) Calculator. (Formulas & Equations)

Maximum Flux Density (Bmax) Calculator. (Formulas & Equations)

Maximum Flux Density Calculator

 Note: Formulas and equations for this calculator is given below (after calculator). Also do not forget to share with and suggest to your friends. Also, if you want to see other electrical and electronics calculators live on our blog, then please mention it in our below comment box. thanks.
Enter the required values and click on calculate. Result will display the value of Maximum Flux Density “Bmax” in “Tesla” And ” Gauss” .

Enter values

AC Parameters
RMS Voltage:       Vrms
Frequency ( f ):      MHz
Number of Turns:             
Cross Section area of Core:       cm2
DC Parameters (Optional)
DC Current (I): Amperes
Specific To Core Used:      mH/Turns2
Maximum Flux Density CalculatorMaximum Flux Density (Bmax) Calculator. (Formulas & Equations)  
Maximum Flux Density(Bmax):     Tesla
Maximum Flux Density(Bmax):     Gauss

Good to Know:

In Transformer,
Bmax = V / (4.44 f N A) …… in Tesla
Bmax = (V x 108)/ (4.44 f N A) …… in Guass
Bmax = Maximum Flux Density
V = Applied rms Voltage
f = frequency
N = turns on the winding] where V is the applied voltage
A = Magnetic circuit cross-sectional-area enclosed by the winding (m2)

Flux Density Formulas and Equations
Bmax = Bmax [AC] + Bmax [DC]
Bmax [DC] =  (LxIdc x 108)/(NAc)
Bmax = (Vrms x108)/(4.44xFxNxAc) + (L x Idc x 108)/(N x Ac) Gauss
Note: if no DC current flows, then the second term of the equation is dropped. 
In terms of AL(uH/100T2):
L= N2AL(uH/100T2)10-4
Bmax(DC)=  (N x AL(uH/100T2)104x Idc)/(Ac)

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One comment

  1. Sunil Thakkar

    Dear Mr. Wasim Khan,

    I was trying to use your free tool for Bmax in transformer.
    Tool is very good. I would like to know the DC flux density calculation terminotlogy in detail.
    Bmax(DC)= (N x AL(uH/100T2)104x Idc)/(Ac)

    What is AL, uH, T ? Ac i understand as Area of core in sq. meter and N is no. of Turns.

    Also what is to be entered in Tool mH/Turns^2 ?.


    Voltage : 37000 V
    Frequency: 50Hz
    No. of Turns: 103 T
    Area: 12944 sq. cm

    Dc current: 30 A
    What will be the inputs for tools and what will be the DC flux density ? AC flux density i calcualted as 1.25 Tesla.

    Waiting for your valuable inputs.

    Sunil Thakkar

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