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Chapter 29: Q. 8 (page 830)

The element niobium, which is a metal, is a superconductor (i.e., no electrical resistance) at temperatures below 9K. However, the superconductivity is destroyed if the magnetic field at the surface of the metal reaches or exceeds 0.10T. What is the maximum current in a straight,3mm diameter superconducting niobium wire?

Short Answer

Expert verified

The maximum current will be750A.

Step by step solution

01

Given information

We have given,

Magnetic field = 0.1T

Diameter of wire = 3mm

We have to find the maximum current in the straight niobium wire.

02

Simplify

The magnetic field due to wire will be

B=渭0I2蟺搁I=叠蟺顿渭0=0.1脳蟺脳3脳10-34脳蟺脳10-7I=750A

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Most popular questions from this chapter

What are the magnetic field strength and direction at points a to c in FIGURE EX29.14?

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FIGUREP29.64shows a mass spectrometer, an analytical instrument used to identify the various molecules in a sample by measuring their charge-to-mass ratio qm. The sample is ionized, the positive ions are accelerated (starting from rest) through a potential differencelocalid="1648976601527" 鈭�V, and they then enter a region of uniform magnetic field. The field bends the ions into circular trajectories, but after just half a circle they either strike the wall or pass through a small opening to a detector. As the accelerating voltage is slowly increased, different ions reach the detector and are measured. Consider a mass spectrometer with localid="1648976606181" 200.00mTa magnetic field and an localid="1648976610307" 8.0000cmspacing between the entrance and exit holes. To five significant figures, what accelerating potential differences localid="1648978768434" 鈭�Vare required to detect the ions localid="1648978902862" (a)O2+, (b)N2+, and localid="1648978898077" (c)CO+? See Exercise localid="1648978753549" 29for atomic masses; the mass of the missing electron is less than localid="1648978758219" 0.001uand is not relevant at this level of precision. Although localid="1648978910549" N2+and localid="1648978778238" CO+both have a nominal molecular mass of localid="1648978782098" 28, they are easily distinguished by virtue of their slightly different accelerating voltages. Use the following constants:

1u=1.6605脳10鈭�27kg,e=1.6022脳10鈭�19C.
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