GE CLST 20A Lecture 1: Race: The Power of an Illusion Screening Notes

A straight segment of a current-carrying wire has a current elementI L where I = 1.55 A and L = [ Lx i + Ly j + Lz k ], where i, j,and k are unit vectors pointing in the x, y, and z directions,respectively. The values for Lx, Ly, and Lz are 0.88 m, -0.93 m,and -0.45 m, respectively. The segment is in a region with auniform magnetic field given by B = [ Bx i + By j + Bz k ], wherethe components of B are ( 9.220E-1, 7.160E-1, and 5.430E-1) T,respectively. Find the components of the force on the segment ofwire, starting with Fx. Fy and Fz?

5. For the ground state of a particle in a 3-D box with sides Lx, Ly, Lz determine the following: (a) 〈x〉, (b) 〈x2〉, (c) 〈px〉, (d) 〈p2x〉

Consider a hydrogen atom in the 3d state with L_z=2h(bar) and S_z= 1/2h(bar). How much does its energychange if it is placed in a magnetic field B=0.6T along thez-axis?[Hint: The total magnetic moment is given by equ.(9.25), andthe energy shift is ΔE = -μ_tot • B]