A current i is passed through a silver strip of width d and area of cross section A . The number of free electrons per unit volume is n . A magnetic field B exists perpendicular to the plane of the strip. What will be the potential difference developed across the width of the conductor due to the electron accumulation? (The appearance of a transverse emf, when a current-carrying wire is placed in a magnetic field, is

Step-by-step solution

The current i flowing through the conductor is related to the drift velocity v_d of the electrons by the equation: i = n e A v_d where n is the number of free electrons per unit volume, e is the charge of an electron, and A is the cross-sectional area of the strip. From this, the drift velocity is given by: v_d = i n e A When the electrons move through the magnetic field B , they experience a magnetic force F_m perpendicular to both their velocity and the magnetic field: F_m = e v_d B This force causes electrons to