Volume Bound Current Density | Lecture Note - Edubirdie

University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

30

Pages:

4
Author:

Jabin F.

# Volume Bound current density:- Jb = (∇ × M) Magnetization M = Σm / V V = Volume of Solid ↑↓Solid →magnetic dipoles # Bext (i) M = -M(i/2): Diamagnetism [χm < 0, μr ≈ 1, χm ≈ 0] (ii) M = M(i/2): Paramagnetism [χm > 0, μr ≈ 1, χm ≈ 0] (iii) M = M(i+2): Ferromagnetism [M >> 40, μr >> 1, χm >> 0] (iv) M = 0: free space [μr = 1, χm = 0] # M² is given, or M is given, μr is givenor χm is given M = permeability of mediumμm = μr * μ₀ = (1 + χm) * μ₀ Here cylindrical system → [\frac{1}{s}\begin{bmatrix} \hat{s} & s\hat{\phi} & \hat{z} \ \frac{\partial}{\partial s} & \frac{\partial}{\partial \phi} & \frac{\partial}{\partial z} \ Ms & xm_s & m_z \end{bmatrix}] [= \frac{1}{s}\begin{bmatrix} \hat{s} & s\hat{\phi} & \hat{z} \ \frac{\partial}{\partial s} & \frac{\partial}{\partial \phi} & \frac{\partial}{\partial z} \ 0 & 0 & ks^2 \end{bmatrix}] [= \frac{1}{s}[\hat{s}(0 - 0) - s\hat{\phi}(2ks - 0) + \hat{z}(0 - 0)]] [\vec{J_b} = \nabla \times \vec{m} \rightarrow -2ks\hat{\phi}]

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