Consi der a magnetic circuit given in the left figure. There is air gap with height of 2 mm. The magnetic material used as ferromagnetic core in the system has a 0.24 (m) nonlinear Btotal vs. H curve as given 2 (mm) bottom figure. Here, the aim is to obtain magneti c flux density of B = 1 mTin the air gap. -0.2 (m) 0.2 (m)- Brotal (mT) 1 A = 130 Slope = A po H (A/m) -1 a) Design a magnetic circuit by indicating all relevant parameters and values such as number of turns, current, height of the coil, the dimensions of the cross-sectional area, etc. By considering realistic engineering conditions/constraints, be reasonable in your values as much as possible. Do not ignore the reluctance values of the ferromagnetic core parts. b)Assume that you implement your design physically inareal applicati on. Do you think/expect that the magnetic flux density at the air gap will be smaller, larger, or exactly equal to your designed magneti c flux density of 1 mT Explain your reasoning by indicating the possible realistic factors/constraints/effects changing the speed (if any).