Chapter 20 Gauss s law 第八章静电场 Chapter 20 Gauss's Law A statement of the relationship between electric charge and electric field 1 Electric flux 2 Gauss's law 3 Application of Gausss Law
Chapter 20 Gauss’s Law 第八章静电场 Chapter 20 Gauss’s Law A statement of the relationship between electric charge and electric field. 1 Electric Flux 2 Gauss’s Law 3 Application of Gauss’s Law
Chapter 20 Gauss s law 第八章静电场 New Words and Expressions 通量 Gauss's law 高斯定理 gaussion surface 高斯面 spherical 球面的 cylindrical 柱面的 planar 平面的
Chapter 20 Gauss’s Law 第八章静电场 New Words and Expressions flux 通量 Gauss’s Law 高斯定理 gaussion surface 高斯面 spherical 球面的 cylindrical 柱面的 planar 平面的
Chapter 20 Gauss s law 第八章静电场 1. Electric flux(通量)p487-489 1)The cases that planes are in the uniform E and the electric field direction is perpendicular to the surface Φn=ES E electric flux-The product of electric field and area of surface
Chapter 20 Gauss’s Law 第八章静电场 1. Electric Flux (通量) p487-489 E S electric flux —The product of electric field and area of surface. ES E 1) The cases that planes are in the uniform and the electric field direction is perpendicular to the surface E
Chapter 20 Gauss s law 第八章静电场 2)The cases that planes are in the uniform e but the area s in not perpendicular to e The number of electric field line through both area ofs and s are equal, so ◆均匀电场,E与平面夹角O ①= ES COS 6 Φe=E·S E
Chapter 20 Gauss’s Law 第八章静电场 2) The cases that planes are in the uniform but the area S in not perpendicular to E The number of electric field line through both area of S and are equal, so S E S Φe ES cos 均匀电场 ，E与平面夹角 n e Φ E S e E
Chapter 20 Gauss s law 第八章静电场 3)For nonuniform fields and curved surfaces we rewrite this definition of electric flux in differential form. ◆非均匀电场强度电通量 dS=dS·en Eds E d④=EdS ④=|d④ E cos edS ①=E.dS (electric flux through a Gaussian surface)
Chapter 20 Gauss’s Law 第八章静电场 3) For nonuniform fields and curved surfaces we rewrite this definition of electric flux in differential form: E 非均匀电场强度电通量 s Φ dΦ E cos dS e e s Φ E S d e Φ E S d d e d d n S S e S d E n e (electric flux through a Gaussian surface)