EBK PHYSICS FOR SCIENTISTS & ENGINEERS
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 25, Problem 63GP
To determine

The conductance of an object in Siemens.

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sq 4. Maximum surface resistance. Consider a square sheet of side L, thickness d, and electrical resistivity p. The resistance measured between opposite edges of the sheet is called the surface resistance: R = pL/ Ld = p/d, which is independent of the area of the sheet. (R is called the resistance per square and is expected in ohms per square, because p/d has the dimensions of ohms.) If we express p by p=m/ne²t, then Rq=m/ndet. Suppose now that the minimum value of the collision time is determined by scattering from surfaces of the sheet, so that Td/v, where v is the Fermi velocity. Thus the maximum surface resistivity is Rmvp/nd²e². Show for a monatomic metal sheet one atom thickness that sq Rħ/e² = 4.1k, where lkn is 10³ ohms. sq
The amount of charge flowing through a particular conducting wire is represented by the equation q (t) = at³ + bt? +c, where a = 5 A/s?, b = 3 A/s, and c is an unknown constant. When t = 0.9s, the voltage across the wire is measured to be 12 V. What is the resistance of the wire in Ohms?
The conductance G of an object is defined as the reciprocal of the resistance R; that is, G = 1/R. The unit of con- ductance is a mho (= ohm'), which is also called the siemens (S). What is the conductance (in siemens) of an object that draws 440 mA of current at 3.0 V?

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