A proton with a speed of 2.4 x 106 m/s is shot into a region between two plates that are separated by a distance of 0.18 m. As the drawing shows, a magnetic field exists between the plates, and it is perpendicular to the velocity of the proton. What must be the magnitude of the magnetic field, so the proton just misses colliding with the opposite plate? 4 Proton Number i Units

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Current Attempt in Progress**

A proton with a speed of \(2.4 \times 10^6 \, \text{m/s}\) is shot into a region between two plates that are separated by a distance of \(0.18 \, \text{m}\). As the drawing shows, a magnetic field exists between the plates, and it is perpendicular to the velocity of the proton. What must be the magnitude of the magnetic field, so the proton just misses colliding with the opposite plate?

**Description of Diagram:**
- The drawing depicts a region between two parallel plates.
- A proton, represented by a yellow circle labeled "Proton," is shown entering the region with an initial velocity directed upwards.
- Red X marks indicate the presence of a magnetic field, which is perpendicular to the velocity of the proton and directed into the plane of the screen.
- The proton's trajectory curves to the left, nearly missing collision with the opposite plate on the right.

**Expected Input:**
- The diagram prompts for the calculation of the magnetic field's magnitude, B, which can be entered in the "Number" field along with its units from the dropdown menu.

**Blank Fields:**
- Number: [Input Field]
- Units: [Dropdown Menu]

This problem is designed to test the student's understanding of concepts related to magnetic fields and the motion of charged particles. The key physics principle involved here is the Lorentz force, which causes the proton to follow a curved path due to the perpendicular magnetic field.
Transcribed Image Text:**Current Attempt in Progress** A proton with a speed of \(2.4 \times 10^6 \, \text{m/s}\) is shot into a region between two plates that are separated by a distance of \(0.18 \, \text{m}\). As the drawing shows, a magnetic field exists between the plates, and it is perpendicular to the velocity of the proton. What must be the magnitude of the magnetic field, so the proton just misses colliding with the opposite plate? **Description of Diagram:** - The drawing depicts a region between two parallel plates. - A proton, represented by a yellow circle labeled "Proton," is shown entering the region with an initial velocity directed upwards. - Red X marks indicate the presence of a magnetic field, which is perpendicular to the velocity of the proton and directed into the plane of the screen. - The proton's trajectory curves to the left, nearly missing collision with the opposite plate on the right. **Expected Input:** - The diagram prompts for the calculation of the magnetic field's magnitude, B, which can be entered in the "Number" field along with its units from the dropdown menu. **Blank Fields:** - Number: [Input Field] - Units: [Dropdown Menu] This problem is designed to test the student's understanding of concepts related to magnetic fields and the motion of charged particles. The key physics principle involved here is the Lorentz force, which causes the proton to follow a curved path due to the perpendicular magnetic field.
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