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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

Output
 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
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)

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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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 ?.

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

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