Question
Hard
Solving time: 5 mins
Q.205. Non-relativistic protons accelerated by a potential difference U form a round beam with current I. Find the magnitude and direction of the Poynting vector outside the beam at a distance r from its axis.
Text solutionVerified
Here where R = radius of cross-section of the conductor and n = charge density (per unit volume)
Also
or
Thus, the moving protons have a charge per unit length
This gives rise to an electric field at a distance r given by
The magnetic field is (for )
Thus
radially outward from the axis
This is the Poynting vector.
Also
or
Thus, the moving protons have a charge per unit length
This gives rise to an electric field at a distance r given by
The magnetic field is (for )
Thus
radially outward from the axis
This is the Poynting vector.
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Question Text | Q.205. Non-relativistic protons accelerated by a potential difference U form a round beam with current I. Find the magnitude and direction of the Poynting vector outside the beam at a distance r from its axis. |
Topic | Electromagnetic Waves |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 |
Upvotes | 70 |