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Given below are three diagrams showing entry of an electron in a magnetic field Identify the case in which the force will be (1) maximum and (2) minimum respectively Give reason for your answer?
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Given below are three diagrams showing entry of an electron in a magne...
Understanding Electron Motion in a Magnetic Field
When an electron enters a magnetic field, it experiences a magnetic force that is determined by several factors. The force on the electron can vary based on its angle of entry relative to the magnetic field direction.
Maximum Force
- The magnetic force is maximum when the electron moves perpendicular to the magnetic field lines.
- This is due to the formula F = qvBsin(θ), where θ is the angle between the velocity vector of the electron and the magnetic field direction.
- At θ = 90 degrees (perpendicular), sin(θ) = 1, resulting in maximum force (F = qvB).
Minimum Force
- The magnetic force is minimum when the electron moves parallel to the magnetic field lines.
- In this case, θ = 0 degrees or 180 degrees, causing sin(θ) to be 0, leading to zero magnetic force (F = 0).
- This means the electron will not experience any deflection and will continue in a straight line.
Conclusion
- In summary, the scenarios can be summarized as follows:
- Maximum Force: Occurs at 90 degrees (perpendicular entry).
- Minimum Force: Occurs at 0 or 180 degrees (parallel entry).
Understanding these principles helps to predict the behavior of charged particles like electrons in magnetic fields, which has numerous applications in technology and science.
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Given below are three diagrams showing entry of an electron in a magnetic field Identify the case in which the force will be (1) maximum and (2) minimum respectively Give reason for your answer?
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