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

Maximum Flux Density Calculator

Note: Formulas and equations for this calculator is given below (after calculator).

Enter the required values and click on calculate. Result will display the value of Maximum Flux Density “BMAX” in “Tesla” And ” Gauss”.

Good to Know:

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(Bmax):     Tesla
Maximum Flux Density(Bmax):     Gauss

Formulas and equations for Maximum Flux Density Calculator

In Transformer,

Bmax = V / (4.44 f N A) …… in Tesla

Bmax = (V x 108)/ (4.44 f N A) …… in Guass

Where;

  • 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)

Related Calculator: Inductance of Straight Wire and Electrode Calculator

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: In case of 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)

Related Calculators:

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6 Comments

  1. Sunil Thakkar says:

    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 ?.

    ExampleL

    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.

    Regards
    Sunil Thakkar

  2. bhanu lamichhane says:

    Dear Mr. Wasim Khan
    i need your help in calculating the flux density of 23moh core for 25 kva transformer

    core loss 70 watt
    l.t size 2.5*6.5
    l.t turns=100
    h.t size SWG 22
    H.T TURNS =5001
    CORE AREA=75.76 CM SQUARE

  3. MOHAMMAD FARAZ says:

    PLEASE TELL ME THAT HOW CAN I CALCULATE CORE LOSS IN THE TRANSFORMER.
    I HAVE CALCULATE WEIGHT, WEIGHT=479.25 Kg
    I HAVE CALCULATED FLUX DENSITY, Bm=1.3284 Tesla
    CROSS SECTIONAL AREA (MM.Sq)=17479
    CROSS SECTIONAL AREA (CM.Sq)=174.79
    NET SECTIONAL AREA OF CORE (Cm.Sq))=169.54
    PLEASE TELL ME A CALCULATION PART IN DETAILS STEP BY STEP. PLEASE PLEASE.
    PLEASE PROVIDE ME A CALCULATION CHART ON MY MAIL-Id.

  4. how we find the max flux in a core when the number of turn are not known

  5. Hello how can i know (Bmax) without the windings of the transformer?

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