Exercise 26.23 Part A Microwaves in a microwave oven are produced by electrons c

Question

Exercise 26.23 Part A Microwaves in a microwave oven are produced by electrons circling in a magnetic field at a frequency of 2.4 GHz What is the magnetic field strength? Express your answer using two significant figures B= 86 mT Submit My Answers Give Up Correct Part B The electrons' motion takes place inside a special tube called a magnetron. If the magnetron can accommodate electron orbits with a maximum diameter of 2.5 mm, what is the maximum electron energy? Express your answer using two significant figures keV Submit My Answers Give Up

Explanation / Answer

m v2 / r = q v B

m w2 r = q w r B [As v = w r ]

B = m w / q

B = (9.11 * 10-31 * 2.4 * 109 * 2 pi) / (1.60 * 10-19 C)

= 86 * 10-3 T = 86 mT

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K = 1/2 m v2

K = 1/2 m w2 r2

= 0.5 * 9.11 * 10-31 * ( 2.4 * 109 * 2 pi )2 (2.5 * 10-3 m / 2 )2

= 1.62 * 10-16 J

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