Dont need the work just the answer A B C or D A simple magnetic circuit with pow

Question

Dont need the work just the answer A B C or D

A simple magnetic circuit with power source and air gap has been represented in following figure. Calculate the magnetic flux density (B) in air gap, based on the given parameters: (cross section area of magnetic core) A = 5 times 10^-4 m^2 (coil turns) N=200 (current) I=12A (core dimensions) I_1 = 4cm I_2 = I_5 = 6cm I_3 = I_4 = 1.9cm I_g = 0.2cm (permeability of free space) mu 0 = 4 pi times 10^7 H/m (relative permeability of core) mu_r = 1200 3.34 3.183 1.437 7.183

Explanation / Answer

We know that permeability =Flux density /Field intensity

Now Flux density B in air gap= permeability of air*NI/l

B=4*3.14*10^-7*200*12/(0.2*10^-4)=1.507

Hence option C is correct here

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