A 25 cm rod moves at 6.4 m/s in a plane perpendicular to a magnetic field of strength 0.12 T. The rod, velocity vector, and magnetic field vector are mutually perpendicular, as indicated in the accompanying figure. 25 cm (a) Calculate the magnetic force on an electron in the rod (in N). (Enter the magnitude.) (b) Calculate the electric field in the rod (in V/m). (Enter the magnitude.) V/m (c) Calculate the potential difference between the ends of the rod (in V). (d) What is the speed of the rod (in m/s) if the potential difference is 1.0 V? m/s
A 25 cm rod moves at 6.4 m/s in a plane perpendicular to a magnetic field of strength 0.12 T. The rod, velocity vector, and magnetic field vector are mutually perpendicular, as indicated in the accompanying figure. 25 cm (a) Calculate the magnetic force on an electron in the rod (in N). (Enter the magnitude.) (b) Calculate the electric field in the rod (in V/m). (Enter the magnitude.) V/m (c) Calculate the potential difference between the ends of the rod (in V). (d) What is the speed of the rod (in m/s) if the potential difference is 1.0 V? m/s
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![**Problem Description:**
A 25 cm rod moves at 6.4 m/s in a plane perpendicular to a magnetic field of strength 0.12 T. The rod, velocity vector, and magnetic field vector are mutually perpendicular, as illustrated in the diagram.
*Diagram Explanation:*
- The magnetic field (\( \mathbf{B} \)) is represented by blue 'X's, indicating the field is directed into the page.
- The rod is drawn vertically with a length of 25 cm.
- A green arrow labeled \( \mathbf{v} \) shows the velocity vector to the right, perpendicular to both the rod and the magnetic field.
**Questions:**
(a) Calculate the magnetic force on an electron in the rod (in N). (Enter the magnitude.)
\[ \text{Answer:} \ \text{_____ N} \]
(b) Calculate the electric field in the rod (in V/m). (Enter the magnitude.)
\[ \text{Answer:} \ \text{_____ V/m} \]
(c) Calculate the potential difference between the ends of the rod (in V).
\[ \text{Answer:} \ \text{_____ V} \]
(d) What is the speed of the rod (in m/s) if the potential difference is 1.0 V?
\[ \text{Answer:} \ \text{_____ m/s} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6d45b7c-770b-4dbe-b3cf-74fe1dfded8d%2F05592ba5-38f1-4bb4-a266-01f081c6b411%2Fuk521o9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
A 25 cm rod moves at 6.4 m/s in a plane perpendicular to a magnetic field of strength 0.12 T. The rod, velocity vector, and magnetic field vector are mutually perpendicular, as illustrated in the diagram.
*Diagram Explanation:*
- The magnetic field (\( \mathbf{B} \)) is represented by blue 'X's, indicating the field is directed into the page.
- The rod is drawn vertically with a length of 25 cm.
- A green arrow labeled \( \mathbf{v} \) shows the velocity vector to the right, perpendicular to both the rod and the magnetic field.
**Questions:**
(a) Calculate the magnetic force on an electron in the rod (in N). (Enter the magnitude.)
\[ \text{Answer:} \ \text{_____ N} \]
(b) Calculate the electric field in the rod (in V/m). (Enter the magnitude.)
\[ \text{Answer:} \ \text{_____ V/m} \]
(c) Calculate the potential difference between the ends of the rod (in V).
\[ \text{Answer:} \ \text{_____ V} \]
(d) What is the speed of the rod (in m/s) if the potential difference is 1.0 V?
\[ \text{Answer:} \ \text{_____ m/s} \]
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