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13 Nov 2021
Given information
Given a cyclotron with an electric field that changes direction each half-cycle, owing to an ac voltage 
so that the particles are increased in speed at each passage through the gap.
We have to show that frequency of voltage, 
provided that q is the charge of the particles and m their mass.
Step-by-step explanation
Step 1.
The voltage frequency must be equal to the frequency of the particles' circular motion in order for the electric field to be synchronised with the circular motion. Each circular orbit has a radius of 200 metres.
The radius of each circular orbit is given by,
Also, for a circular motion time period is given by,
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Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922
Solutions
Chapter
Section
- Problem 64a
- Problem 64b
- Problem 64c
- Problem 64d
- Problem 65
- Problem 66
- Problem 67
- Problem 68
- Problem 69
- Problem 70
- Problem 71
- Problem 72a
- Problem 72b
- Problem 73
- Problem 74a
- Problem 74b
- Problem 74c
- Problem 75
- Problem 76
- Problem 77
- Problem 78
- Problem 79a
- Problem 79b
- Problem 80
- Problem 81
- Problem 82
- Problem 83
- Problem 84
- Problem 85a
- Problem 85b
- Problem 86
- Problem 88a
- Problem 88b
- Problem 88c
- Problem 89a
- Problem 89b
- Problem 90
- Problem 91
- Problem 92