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Current and resistance introduction problem The following table gives the length

ID: 2239230 • Letter: C

Question

Current and resistance introduction problem The following table gives the lengths of three copper rods, their diameters, and the potential differences between their ends. Rod Length Diameter Potential Difference 1 L 3d V 2 2L d 2V 3 3L 2d 2V (a) Rank the rods according to the magnitude of the electric field within them, greatest first (use only the symbols > or =, for example 1>2=3). (b) Rank the rods according to the current density within them, greatest first (use only the symbols > or =, for example 1>2=3). (c) Rank the rods according to the drift speed of electrons through them, greatest first (use only the symbols > or =, for example 1>2=3).

Explanation / Answer

a)

electric field is given E=Voltage/length

so E1=V/L ,E2=2V/2L =(V/L) ,E3=(2V/3L)=(2/3)(V/L)

SO

1=2>3

B)

Current density J=I/A =V/R/A =V/(pL/A)*A =V/pL

J1 =(V/pL) ,J2=(2V/p2L)=(V/pL)

J3=(2/3)(V/pL)

1=2>3

c)

v=uE

1=2>3



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