Solving Maxwell's equations expressed as rot E = -∂ B /∂ t ,rot H = ∂ D /∂ t + i ,div D = ρ,div B = 0, where E is the electric field, D is the electric flux density, H is the magnetic field , B is the magnetic flux density, ρ is the charge density, and i is the current density, to determine the components of E and B is to solve a six-dimensional simultaneous differential equation, and it is almost impossible to do this for any current and charge distribution. However, the components of E and B are not completely independent, and are constrained by the above Maxwell's equations themselves. Source: Heibonsha World Encyclopedia, 2nd Edition Information |
電場をE,電束密度をD,磁場をH,磁束密度をB,電荷密度をρ,電流密度をiとして,rotE=-∂B/∂t,rotH=∂D/∂t+i,divD=ρ,divB=0で表されるマクスウェルの方程式を解いてEやBの各成分をきめることは,六元連立微分方程式を解くことであり,任意の電流・電荷分布についてこれを行うことはほとんど不可能である。しかしEやBの各成分はまったく独立というわけでなく,上記のマクスウェルの方程式自身によって束縛されている。
出典 株式会社平凡社世界大百科事典 第2版について 情報 |
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