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 3.40 cm2 across its width, a front-to-rear length of 21.1 cm, and a resistance of 943 ?. The block's material contains 7.40 x 1022 conduction electrons/m3. A potential difference of 32.4 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 Click if you would like to Show Work for this question: Units Units Units Units Qpen Show Work

Explanation / Answer

a) current in the block, I = V/R

= 32.4/943

= 0.0343 A

b) current density, J = I/A

= 0.0343/(3.4*10^-4)

= 101 A/m^2

c) drift speed, vd = J/(n*q)

= 101/(7.4*10^22*1.6*10^-19)

= 8.53*10^-3 m/s or 8.53 mm/s

d) E = V/d

= 32.4/0.211

= 153 N/c

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