# 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)

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### Electrical Technology

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.

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

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 PROVIDE ME A CALCULATION CHART ON MY MAIL-Id.

4. zubair says:

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

5. Ravindra says: