5. A conductive block in the shape of a rectangular solid has a cross-sectional

Question

5. A conductive block in the shape of a rectangular solid has a cross-sectional area of 12.0 em2 across its width, a front-to-rear length of 15.0 cm, and a resistance of 100 . The block's material contains 6.00 x1018 conduction electrons (be careful, this is not "n", although it will help you find "n"). A potential difference of V= 20 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 speed of the conduction electrons and (D) the magnitude of the electric field in the block? What are (E) the Mean Free Time between collisions of the free electrons in the block, and the (F) sonductivity of the material? SHOW WORK on worksheet if you want any credit, Be sure to label what section the work is for

Explanation / Answer

Here ,

Area , A = 12 cm^2

L = 15 cm

n = 6 * 10^18/(12 *10^-4 * 0.15) per m^3

A) current in the block = V/R

current in the block = 20/100

current in the block = 0.20 A

B)

current density = current/rea

current density = 0.20/(12 * 10^-4)

current density = 166.7 A/m^2

C)

drift speed = J/(n * e)

drift speed = 166.7/(1.602 *10^-19 * 6 * 10^18/(12 *10^-4 * 0.15))

drift speed = 0.0312 m/s

D)

electric field = V/L

electric field = 20/.15

electric field = 133.3 N/C

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