Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 26, Problem 42P
To determine

The magnetic intensity.

Expert Solution & Answer
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Answer to Problem 42P

  3.3T

Explanation of Solution

Given:

Kinetic energy is 998GeV

The proton’s rest mass is 0.938GeV/c2

Mass of proton is 1.67×1027kg

Radius is 1.0km=1.0×103m

Charges on an electron is 1.6×1019C

Formula used:

The magnetic force provides the radial acceleration:

  qvB=mv2r or B=mvqr=m0vqr[1(V2c2)]12

Where,

  m0 is rest mass

  m is relativistic mass

  v is velocity

  r is radius

  q is charges

  B is magnetic force

  c is speed of light, 3.00×108m/s

Calculation:

Mass is constant during the revolution.

The total energy of an electron is

  E=mc2=KE+m0c2=998GeV+0.938GeV=999GeV

So, the mass is 999GeVc2

Calculate the speed form m=m0[1(v2c2)]12

  999GeVc2=(0.938GeVc2)[1(v2c2)]12

This gives [1(v2c2)]12=9.39×104

  v=1.00c

By using the formula B=mvqr=m0vqr[1(V2c2)]12

  B=(1.67×1027kg)(3.00×108m/s)(1.6×1019C)(1.0×103m)(9.39×104)=3.3T

Conclusion: The required value is 3.3T .

Chapter 26 Solutions

Physics: Principles with Applications

Ch. 26 - Prob. 11QCh. 26 - Prob. 12QCh. 26 - Prob. 13QCh. 26 - Prob. 14QCh. 26 - Prob. 15QCh. 26 - Prob. 16QCh. 26 - Prob. 17QCh. 26 - Prob. 18QCh. 26 - Prob. 19QCh. 26 - Prob. 20QCh. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - Prob. 10PCh. 26 - Prob. 11PCh. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - Prob. 14PCh. 26 - Prob. 15PCh. 26 - Prob. 16PCh. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - Prob. 19PCh. 26 - Prob. 20PCh. 26 - Prob. 21PCh. 26 - Prob. 22PCh. 26 - Prob. 23PCh. 26 - Prob. 24PCh. 26 - Prob. 25PCh. 26 - Prob. 26PCh. 26 - Prob. 27PCh. 26 - Prob. 28PCh. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - Prob. 33PCh. 26 - Prob. 34PCh. 26 - Prob. 35PCh. 26 - Prob. 36PCh. 26 - Prob. 37PCh. 26 - Prob. 38PCh. 26 - Prob. 39PCh. 26 - Prob. 40PCh. 26 - Prob. 41PCh. 26 - Prob. 42PCh. 26 - Prob. 43PCh. 26 - Prob. 44PCh. 26 - Prob. 45PCh. 26 - Prob. 46PCh. 26 - Prob. 47PCh. 26 - Prob. 48PCh. 26 - Prob. 49GPCh. 26 - Prob. 50GPCh. 26 - Prob. 51GPCh. 26 - Prob. 52GPCh. 26 - Prob. 53GPCh. 26 - Prob. 54GPCh. 26 - Prob. 55GPCh. 26 - Prob. 56GPCh. 26 - Prob. 57GPCh. 26 - Prob. 58GPCh. 26 - Prob. 59GPCh. 26 - Prob. 60GPCh. 26 - Prob. 61GPCh. 26 - Prob. 62GPCh. 26 - Prob. 63GPCh. 26 - Prob. 64GPCh. 26 - Prob. 65GPCh. 26 - Prob. 66GPCh. 26 - Prob. 67GPCh. 26 - Prob. 68GPCh. 26 - Prob. 69GPCh. 26 - Prob. 70GPCh. 26 - Prob. 71GPCh. 26 - Prob. 72GPCh. 26 - Prob. 73GPCh. 26 - Prob. 74GP
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