chap22solns

# chap22solns - Magnetic Forces and Magnetic Fields CHAPTER...

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607 Magnetic Forces and Magnetic Fields CHAPTER OUTLINE 22.1 Historical Overview 22.2 The Magnetic Field 22.3 Motion of a Charged Particle in a Uniform Magnetic Field 22.4 Applications Involving Charged Particles Moving in a Magnetic Field 22.5 Magnetic Force on a Current-Carrying Conductor 22.6 Torque on a Current Loop in a Uniform Magnetic Field 22.7 The Biot-Savart Law 22.8 The Magnetic Force Between Two Parallel Conductors 22.9 Ampère’s Law 22.10 The Magnetic Field of a Solenoid 22.11 Magnetism in Matter 22.12 Context Connection The Attractive Model for Magnetic Levitation ANSWERS TO QUESTIONS Section 22.2 The Magnetic Field P22.1 (a) up (b) out of the page, since the charge is negative. (c) no deflection (d) into the page r B in r B up r B right r B at 45 ? FIG. P22.1 P22.3 (a) F B qvB sin 1.60 10 19 C  3.00 10 6 ms 3.00 10 1 T sin 37.0 F B 8.67 10 14 N

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(b) a F m 8.67 10 14 N 1.67 10 27 kg 5.19 10 13 ms 2 P22.6 F B q v B v B ˆ i ˆ j ˆ k 2 4 1 1 2 3 12 2  ˆ i 1 6 ˆ j 4 4 ˆ k 10 ˆ i 7 ˆ j 8 ˆ k v B 10 2 7 2 8 2 14.6 T F B q v B 1.60 10 19 C 14.6 T 2.34 10 18 N Section 22.3 Motion of a Charged Particle in a Uniform Magnetic Field P22.9 E 1 2 mv 2 e V and evB sin 90  2 R B eR m 2 e V m 1 R 2 m V e B 1 5.80 10 10 m 21 .67 10 27 10.0 10 6 V 1.60 10 19 C 7.88 10 12 T Section 22.4 Applications Involving Charged Particles Moving in a Magnetic Field P22.10 F B F e so qvB qE where v 2 K m and K is kinetic energy of the electron. E vB 2 K m B 2 750 1.60 10 19 9.11 10 31 0.015 0 244 kV m P22.13 tan 1 25.0 10.0 68.2 and R 1.00 cm sin 68.2 1.08 cm . Ignoring relativistic correction, the kinetic energy of the electrons is 1 2 2 q V so v 2 q V m 1.33 10 8 . From Newton’s second law 2 R qvB , we find the magnetic field FIG. P22.13
B mv q R 9.11 10 31 kg  1.33 10 8 ms 1.60 10 19 C 1.08 10 2 m 70.1 mT .

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chap22solns - Magnetic Forces and Magnetic Fields CHAPTER...

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