An electron enters a region of uniform perpendicular E and B fields. It is observed that the velocity v of the electron is unelected. A possible explanation
Correct answer: D. \(v\) is perpendicular to both \(E\) and \(B\) and has magnitude \(E/B\)
- A. \(v\) is parallel to and has magnitude \(E/B\)
- B. \(v\) is parallel to
- C. \(v\) is perpendicular to both \(E\) and \(B\) and has magnitude \(B/E\)
- D. \(v\) is perpendicular to both \(E\) and \(B\) and has magnitude \(E/B\)
Explanation
If the velocity were perpendicular to both electric and magnetic fields with a magnitude of \(E/B\), it would imply that the electron's motion direction is perpendicular to both fields and its magnitude is determined by the ratio of the electric and magnetic fields. This aligns with the unaltered velocity of the electron in the presence of the perpendicular fields.Possible Correct Answer:\(v\) is perpendicular to both \(E\) and \(B\) and has magnitude \(E/B\)When an electron enters a region of uniform perpendicular electric (\(E\)) and magnetic (\(B\)) fields, and its velocity (\(v\)) is unaltered, a possible explanation can be deduced based on the interaction of the fields on the electron's motion.
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