1- When f is an arbitrary scalar function and A and B are arbitrary three-dimensional vectors, the following formulas related to differential operation
Guided. Note that character expressions representing vectors are written in bold in printing, double characters in handwriting.
2- Based on the Coulomb’s law concerning the magnetic charge, the display formula of the magnetic potential (magnetic potential) W by the magnetic dipole is expressed by
It can be derived as follows.
W = ………..
Here, μ 0 represents vacuum permeability. Dipole magnetic moment vector p, formation of measurement point position vector r
Each minute,
p=……… r= ……………..
And the magnetic dipole is assumed to be at the origin. Also, r = | r |. Now, with this magnetic dipole magnetic
Calculate the magnetic field H = (Hx, Hy, Hz) from the position W.
3- Obtain the electric field [V / m] by the following charge distribution. To calculate the electric field, Coulomb’s law may be used, or Gow
The Law of Law may be used. Also, if necessary, use the vacuum dielectric constant ε 0.
(1) When the electric charge of the linear density λ [C / m] is uniformly distributed on the infinitely long straight line, the electric field at the position of distance a from the straight line
(2) An areal density σ [C / m 2
] Is uniformly distributed in the electric field
(3) The charge density q [C / m 3
] Is evenly distributed, the position from the center of the sphere at a distance r [m]
Electric field
4- Explain the residual magnetization JR and the induced magnetization JI with clear differences between them. Also, associate with magnetization
Explain the magnetic susceptibility χ. Please also refer to what happens to the dimension of susceptibility.
5- Coulomb’s law, Gauss ‘law of electric field, Gauss’ law of magnetic field, Bio-Savart’s law, A
Explain the law of Imper and Faraday’s law using formulas respectively. Also refer to Ampere’s law’s displacement.