Question

Problem 4 [5 marks] B O B O Consider a current-carrying conductor shown above under the influence of a constant magnetic field B. At steady state, the electric force Fe due to the Hall electric field Encounteracts the magnetic force Fmexactly (above right). At this point a. [1 mark]Fel - and therefore E b. [1 mark] The conductor is a copper strip with conductivity of 5.76 x 107S/m. The current in the conductor is 1 mA. The cross section of the copper strip is a rectangle with width of w-1 mm and thickness of t-0.1 mm. The current density is uniform across the cross section Compute the applied electric field Ea that produces the current. c. [1 mark] The electron mobility in copper is 3.2 x 10-3m2/Vs. Compute the drift velocity u under Eq. d. [1 mark] Compute the voltage difference between the top and bottom edges of the copper strip (the hall voltage) for B -1 gauss. e. [1 mark] How much voltage gain is required to produce 1 mV per gauss?

Answer 1

Gven doa - the & uhance htwenton. Clo, ur. on deine and disam the point韧m'hf of the ele ton. 2 - chony of the ele ron. a: avea of te croh ma. is, Ance anbe alabledo, -face an e represented as follow, : wherc 2- u : velouty of the parliele B magneic -field intenst cle 2: aRRENT@cROSS THE CİRCUIT IOA. 3

C):- Tre dift velout ng the P electic Geld 6) 555 55 to diferente bchoen the top and otort e: vol