In the magnetic circuit of Figure 1, the relative permeability of the ferromagnetic material is μ-1200. Neglect magnetic leakage and fringing. All dimensions are in centimeters, and the magnetic material has a square cross-sectional area. 10 A 50 2 -50 N₁ 500 turns N₂ 50 0.5 500 turns Figure 1: Magnetic Circuit with air gap and 2 excitation coils Questions: 1. Develop a Matlab program that can do the followings: a. Determine the air gap flux, the air gap flux density, and the magnetic field intensity in the air gap. b. Vary the air gap length Ig between 0.1cm and 1 cm (step -0.1mm). Calculate and plot the variations of the flux density B as functions of the air gap length Ig. c. Vary the magnetic core square cross-sectional width from 2cm to 4cm in steps of 0.5cm. Calculate and plot the variations of the magnetic flux as functions of the core cross-sectional area Ac. Marks [60 Marks] 2. In order to increase the flux density, what is better to do: increasing the current [20 Marks] or the number of coil turns? Justify your answer.