Hall Effect - Part C,D,E

A rectangular bar of conducting material carries a current I in the + j-direction, in the presence of a uniform magnetic field B = Bi, B > 0. The dimensions of the bar are shown in the figure below. W k B The deflection of the moving charges that form the current results in an accumulation of charge on the upper and lower surfaces of the bar, which in turn produces an electric field and electric force on the moving charges to counteract the magnetic force. Equilibrium occurs when the two exactly cancel. (This phenomenon is known as the "Hall effect"). PART 1 Assume the moving charges are positive.(Part c) What is the charge per unit area o on the surface of the bar that is positively charged? Express your answer using some or all of the following: v, B, l, w, t, epsilon_0 for Eg.Hall Effect 4 0 points possible (ungraded) l\" I 1\"l f" Vtop ' l )- Vbntlom J side View (Part d) What is resulting potential difference. mecm Wop? Express your answer using some or all of the following: 1), B. l, w, t. PARTZ For a current in the same direction as in {Part a), now suppose that the charge carriers forming the current are negative. {Part e) Which ofthe following statements is true? '3:._:3' The sign of the Hall potential difference is negative, Vbumm KB], 0. 8 Explain your reasoning