Understanding Magnetism & Electromagnetism: Maxwell's Equations & Transforming Fields, Slides of Physics

Download Understanding Magnetism & Electromagnetism: Maxwell's Equations & Transforming Fields and more Slides Physics in PDF only on Docsity! wee - Maxwell’s Equations General Physics 2 Magnetism 1 3 Docsity.com Postulates of Special Relativity •  The laws of physics are the same for all inertial observers. •  The speed of light is the same for all observers. General Physics 2 Magnetism 2 Docsity.com General Physics 2 Magnetism 5 Lorentz Force Law •  The equation describes fht force exerted by an electromagnetic field on a particle with charge q in a frame where the particle moves with velocity, v. •  Applies only to particles €  F em = q  E +  v c ×  B bar       Docsity.com General Physics 2 Magnetism 6 How Fields Transform •  Given E and B in an inertial reference frame, we can calculate E and B in a moving frame •  Frame is moving at a speed v in the + x-direction •  β = v/c, and γ= (1 – v2/c2)-1/2 €  ′ E x  ′ E y  ′ E z           =  E x γ Ey −βBbar,z( ) γ Ez + βBbar,y( )           and  ′ B bar,x  ′ B bar,y  ′ B bar,z           = Bbar,x γ Bbar,y + βBbar,z( ) γ Bbar,z −βEy( )           Docsity.com General Physics 2 Magnetism 7 Transforming Fields - example •  Example 13.1 •  Calculate the magnetic field in the particle’s frame •  B is in the –y direction •  E is in the postive z direction •  β = v/c, and γ= (1 – v2/c2)-1/2 €  ′ E x  ′ E y  ′ E z           =  E x γ Ey −βBbar,z( ) γ Ez + βBbar,y( )           and  ′ B bar,x  ′ B bar,y  ′ B bar,z           = Bbar,x γ Bbar,y + βEz( ) γ Bbar,z −βEy( )           Docsity.com General Physics 2 Magnetism 10 Maxwell’s Equations •  Field inside spherical charge distribution € curl  B bar( ) − 1c d  E dt = 1 ε0  J c € curl  E ( ) + 1c d  B bar dt = 0 € div  E ( ) = ρ ε0 € div  B bar( ) = 0 Docsity.com Group Problems •  Review Two Minute Problems •  Whiteboard T2, T3, and T7 •  E13B.1 •  E13S.2 General Physics 2 Magnetism 11 Docsity.com