Chapter 26, Problem 033 A block in the shape of a rectangular solid has a cross-

Question

Chapter 26, Problem 033 A block in the shape of a rectangular solid has a cross-sectional area of 3.15 cm2 across its width, a front-to-rear length of 21.1 cm, and a resistance of 1330 . The block's material contains 5.96 × 1022 conduction electrons/m3. A potential difference of 28.9 V is maintained between its front and rear faces. (a) what is the current in the block? (b) If the current density is uniform, what is its magnitude? What are (c) the drift velocity of the conduction electrons and (d) the magnitude of the electric field in the block? (a) Number (b) Number (c) Number (d) Number Units Units Units Units LINK TO TEXT LINK TO SAMPLE PROBLEM LINK TO SAMPLE PROBLEM VIDEO MINI-LECTURE VIDEO MINI-LECTURE

Explanation / Answer

a). I = V/R = 28.9/1330 = 2.17x10^-2A

b).   J = I/A = 2.17x10^-2/3.15x10^-4 =68.9A/m^2

c).   vdrift = J/(n*q) = 68.9/(5.96x10^22*1.60x10^-19) = 7.22x10^-3m/s

d). E = V/d = 28.9/0.211 = 136.97V/m

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