Question

cL Fig. 3. Toroid of Question 3 1.50 1.25 1.00 0.75 0.25 0 250 750 1000 1250 1500 1750 2000 2250 Magnetic field intensity, H(A.t/m) Fig. 4. Saturation curve of the toroid in Fig. 3 Question 3. The toroid of Fig. 3 has the following parameters: a- 10 cm, b- 15 cm, N- 200 turns, I-1.57 A. The core is made of a ferromagnetic material with the saturation curve of Fig. 4. Determine the maximum magnitude of the flux density vector inside the core.

Answer 1

Given that a = 10 cm b = 15 cm N = 200 liters 1 = 1. 57 A B = mu_o Ni/2 pi r w_o w_q s goes squareroot . m here mu_o = 4 pi times 10^-7 na^-2 MU = 200 turns x = a = 0.1 m I = 0. 57 A maximum magnitude of the flux density vector hide the case will be for x = a = 0. 1 m B = mu_o Ni/2 pi x B = 4 pi times 10^-7 times 200 times 1. 57/2 times pi times 0. 1 B = 6280 times 10^-7 B = 6. 28 times 10^-7 b = 6. 28 times 10^-4 B = 0. 628 mol/ m^2.