// ELECTRICAL MACHINES // R.K.Srivastava // First Impression 2011 // CENGAGE LEARNING INDIA PVT. LTD // CHAPTER : 2 : FORCES IN AN ELECTROMAGNETIC SYSTEMS // EXAMPLE : 2.5 clear ; clc ; close ; // Clear the work space and console // GIVEN DATA // Refer figure 2.3(a):- Page no. 36 B = 1.0; // Flux Density in the Core in Weber/Meter-Square Liron = 0.55; // Mean length of the flux path of Iron in Meter Lair = 0.002; // Mean length of the flux path of Air Gap in Meter I = 20; // Coil Current in Amphere H = 200; // Field Intensity in Amphere-Turns/Meter mue_r = 20000; // Relative permeability of Ferrite core mue_0 = 4*%pi*10^-7; // Permeability of the air in Henry/Meter a = 0.0025; // Area of the Cross sectional of the core oin Metre-Square // CALCULATIONS phi = B*a; // Toatl Flux in the core in Weber Rair = Lair/(mue_0*a); // Relucatnce in the Air gap Fair = Rair*phi; // MMf in the Air gap in Amphere-Turns Firon = H*Liron; // MMf in the Iron core in Amphere-Turns F = Firon+Fair; // Total MMF in Amphere-Turns N = F/I; // Number of turns in the Coil F_new = B/(mue_0*mue_r); // Field Intensity in Amphere-Turns/Meter F_new_total = (Fair+F_new); // Total MMF in Amphere-Turns N_new = F_new_total/I; // Number of turns in the Coil // DISPLAY RESULTS disp("EXAMPLE : 2.5 : SOLUTION :-") ; printf("\n (a) Number of turns in the Coil in air gap made of Silicon Steel having an field intensity 200At/m corresounds to 1.0 T Flux Density , N = %.2f appoximately 85 \n ",N); printf("\n (b) Number of turns in the Coil for a ferrite core of having Relative premeability of 20000 and magnetic Field Density corresponnds to 1.0 T , N_new = %.2f appoximately 82 \n",N_new);