# ch32 - Chapter 32: MAXWELL'S EQUATIONS; MAGNETISM AND...

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Chapter 32: MAXWELL’S EQUATIONS; MAGNETISM AND MATTER 1. Gauss’ law for magnetism: A. can be used to f nd n B due to given currents provided there is enough symmetry B. is false because there are no magnetic poles C. can be used with open surfaces because there are no magnetic poles D. contradicts Faraday’s law because one says Φ B = 0 and the other says E = d Φ B /dt E. none of the above ans: E 2. Gauss’ law for magnetism tells us: A. the net charge in any given volume B. that the line integral of a magnetic f eld around any closed loop must vanish C. the magnetic f eld of a current element D. that magnetic monopoles do not exist E. charges must be moving to produce magnetic f elds ans: D 3. The statement that magnetic f eld lines form closed loops is a direct consequence of: A. Faraday’s law B. Ampere’s law C. Gauss’ law for electricity D. Gauss’ law for magnetism E. the Lorentz force ans: D 4. A magnetic f eld parallel to the x axis with a magnitude that decreases with increasing x but does not change with y and z is impossible according to: A. Faraday’s law B. Ampere’s law C. Gauss’ law for electricity D. Gauss’ law for magnetism E. Newton’s second law ans: D 5. According to Gauss’ law for magnetism, magnetic f eld lines: A. form closed loops B. start at south poles and end at north poles C. start at north poles and end at south poles D. start at both north and south poles and end at in f nity E. do not exist ans: A Chapter 32: MAXWELL’S EQUATIONS; MAGNETISM AND MATTER 475

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6. The magnetic f eld lines due to an ordinary bar magnet: A. form closed curves B. cross one another near the poles C. are more numerous near the N pole than near the S pole D. do not exist inside the magnet E. none of the above ans: A 7. Four closed surfaces are shown. The areas A top and A bot of the top and bottom faces and the magnitudes B top and B bot of the uniform magnetic f elds through the top and bottom faces are given. The f elds are perpendicular to the faces and are either inward or outward. Rank the surfaces according to the magnitude of the magnetic F ux through the curved sides, least to greatest. . . ....................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A top =2cm 2 B top = 2 mT, inward A bot =4cm 2 B bot = 2 mT, outward 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A top 2 B top = 2 mT, inward A bot 2 B bot = 6 mT, outward 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A top 2 B top = 3 mT, inward A bot 2 B bot = 3 mT, outward 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A top 2 B top = 3 mT, inward A bot 2 B bot = 2 mT, outward 4 A. 1, 2, 3, 4 B. 3, 4, 1, 2 C. 1, 2, 4, 3 D. 4, 3, 2, 1 E. 2, 1, 4, 3 ans: B 476 Chapter 32: MAXWELL’S EQUATIONS; MAGNETISM AND MATTER
8. Consider the four Maxwell equations: 1. ± n E · −→ d n A = q/ 6 0 2. ± n B · d n A =0 3. ± n E · d n s = d Φ B / d t 4. ± n B · d n s = μ 0 i + μ 0 6 0 d Φ E / d t Which of these must be modi f ed if magnetic poles are discovered? A. Only 1 B. Only 2 C. Only 2 and 3 D. Only 3 and 4 E. Only 2, 3, and 4 ans: C 9. One of the Maxwell equations begins with ± n B · d n s = ...

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## ch32 - Chapter 32: MAXWELL'S EQUATIONS; MAGNETISM AND...

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