In the velocity selector, if the magnetic field has a magnitude of 2 x 10-3 T, what should be the magnitude of the electric field (in V/m) if the emerging particles are to have a speed of 10' m/s?

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Chapter1: Units, Trigonometry. And Vectors
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In the velocity selector, if the magnetic field has a magnitude of \(2 \times 10^{-3}\) T, what should be the magnitude of the electric field (in V/m) if the emerging particles are to have a speed of \(10^7\) m/s?

**Answer:** [Input Field]
Transcribed Image Text:In the velocity selector, if the magnetic field has a magnitude of \(2 \times 10^{-3}\) T, what should be the magnitude of the electric field (in V/m) if the emerging particles are to have a speed of \(10^7\) m/s? **Answer:** [Input Field]
The diagram shows a positively charged particle \( q \) moving in the positive \( y \)-direction with velocity \( \vec{v} \). It is passing through a velocity selector, where an electric field \( \vec{E} \) is directed towards the right (in the \( +x \)-direction). The velocity selector ensures that only particles with a specific velocity pass through unaffected. After this, the particle enters a shaded region that contains a magnetic field with a magnitude of 1 Tesla.

In the graph:

- The grid represents the coordinate plane with axes \( x \) and \( y \).
- The path of the particle is shown as a black arrow moving upwards along the \( y \)-axis.
- The electric field \( \vec{E} \) is indicated by a horizontal arrow pointing to the right, in the \( +x \)-direction.
- The shaded area represents the region with the magnetic field.

This setup illustrates how charged particles behave under the influence of electric and magnetic fields, often used to separate particles of different velocities in experimental physics.
Transcribed Image Text:The diagram shows a positively charged particle \( q \) moving in the positive \( y \)-direction with velocity \( \vec{v} \). It is passing through a velocity selector, where an electric field \( \vec{E} \) is directed towards the right (in the \( +x \)-direction). The velocity selector ensures that only particles with a specific velocity pass through unaffected. After this, the particle enters a shaded region that contains a magnetic field with a magnitude of 1 Tesla. In the graph: - The grid represents the coordinate plane with axes \( x \) and \( y \). - The path of the particle is shown as a black arrow moving upwards along the \( y \)-axis. - The electric field \( \vec{E} \) is indicated by a horizontal arrow pointing to the right, in the \( +x \)-direction. - The shaded area represents the region with the magnetic field. This setup illustrates how charged particles behave under the influence of electric and magnetic fields, often used to separate particles of different velocities in experimental physics.
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