i need the answer quickly V x B = H, J trce + H, J duplacement * Ho J benand(12.90a)i.c., v x B = MJme+ H, lo(12.90b)frveIn effect, we haveJEi x (B- H, M)- H, E(12.90c)i.e., V x- M- EHo(12.90d)The vectorcontains the essential magnetic bulk property of the medium in thecontinuum hypothesis, and is called the magnetic intensity field, defined asBM.H =Ho(12.91)Magnetic properties of materials are usually compiled in terms of the relationship betweenthe magnetic field intensity H and the magnetization M. Typically, this relation has thefollowing form:= X.(12.92a)so that we shall haveB = H,H + M = (H, + HoX„) = H,(1 + Xm)H= uH.(12.92a)X. is called the magnetic susceptibility of the material, and u = H(1+ X) is called themagnetic permeability of the material. From Eq. 12.90d, it follows that(12.93)(4.38a)%3DatIR(F)g(t)| =(4.38b)dgt)R(F)-k'gtV*R(F),(4.38c)dt1 dgt)_v*R(F) = - ik,R(F)(4.38d)%3Dg(t) dt1 dg(t)+ ik = 0.(4.38e)g(t) de12Show that the magnetic intensity field H inside a conducting material satisfies the diffusionequation (Eq. 4.38, Chapter 4).Hint: Use Eq. I2.93, ignoring the time-dependent term.

Write equation 12.93. ∇→×H→-ε0∂E→∂t=J→free For conduction material: ∂E→∂t=0 And J→free=σE→…

(12.90a) free displacement + H. i.c., v x B = HJe+ H, fo (12.90b) frve In effect, we have V x (B- 4, M)- H, Eo (12.90c) %3D at i.c., V x DE -- M-E (12.90d) The vector M contains the essential magnetic bulk property of the medium in the continuum hypothesis, and is called the magnetic intensity field, defined as -M. (12.91) Magnetic properties of materials are usually compiled in terms of the relationship between the magnetic field intensity H and the magnetization M. Typically, this relation has the following form: M7) = x.FiG), (12.92a) %3D so that we shall have (12.92a) X, is called the magnetic susceptibility of the material, and u H,(1 +X) is called the magnetic permeability of the material. From Eq. 12.90d, it follows that V xH- e (12.93) aT(F, 1) at (4.38a) %3D (4.38b) at %3D dt k'gu*R(F), (4.38c) 1 dgt) VR(F) = - ik² , R(F) (4.38d) %3D g(r) dt 1 dgt) + ik = 0. (4.38e) g(t) di 12 Show that the magnetic intensity field H inside a conducting material satisfies the diffusion equation (Eq. 4.38, Chapter 4). Hint: Use Eq. 12.93. ignoring the time-dependent term.

(12.90a) free displacement + H. i.c., v x B = HJe+ H, fo (12.90b) frve In effect, we have V x (B- 4, M)- H, Eo (12.90c) %3D at i.c., V x DE -- M-E (12.90d) The vector M contains the essential magnetic bulk property of the medium in the continuum hypothesis, and is called the magnetic intensity field, defined as -M. (12.91) Magnetic properties of materials are usually compiled in terms of the relationship between the magnetic field intensity H and the magnetization M. Typically, this relation has the following form: M7) = x.FiG), (12.92a) %3D so that we shall have (12.92a) X, is called the magnetic susceptibility of the material, and u H,(1 +X) is called the magnetic permeability of the material. From Eq. 12.90d, it follows that V xH- e (12.93) aT(F, 1) at (4.38a) %3D (4.38b) at %3D dt k'gu*R(F), (4.38c) 1 dgt) VR(F) = - ik² , R(F) (4.38d) %3D g(r) dt 1 dgt) + ik = 0. (4.38e) g(t) di 12 Show that the magnetic intensity field H inside a conducting material satisfies the diffusion equation (Eq. 4.38, Chapter 4). Hint: Use Eq. 12.93. ignoring the time-dependent term.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 66AP: Assume that a pendulum used to drive a grandfather clock has a length L0=1.00 m and a mass M at...

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