Magnetron Interaction Forces: Assess the Assertion–Reason Pair Assertion (A): In the magnetron interaction space, an electron experiences three forces: electric force, magnetic force, and centrifugal force. Reason (R): Microwave generation in a magnetron arises from interaction of electromagnetic fields with electrons moving in mutually perpendicular static electric and magnetic fields.

Difficulty: Medium

Correct Answer: A is wrong but R is correct

Explanation:


Introduction / Context:
Magnetrons operate with a crossed-field configuration: a static radial electric field and an axial magnetic field. Electrons emitted by the cathode interact with RF fields supported by anode cavities. This question distinguishes real (inertial-frame) forces from fictitious forces and checks the conceptual basis of crossed-field interaction.


Given Data / Assumptions:

  • Electrons are analyzed in an inertial (laboratory) frame.
  • Fields include a dc electric field (radial) and a dc magnetic field (axial), with superposed RF fields from anode cavities.
  • No rotating non-inertial frame is invoked.


Concept / Approach:

In an inertial frame, the electron is subject to the Lorentz force: F = q(E + v × B). There is no real centrifugal force unless one shifts to a rotating reference frame, in which that term is fictitious. Hence only electric and magnetic forces act physically. Meanwhile, the reason statement about microwave generation via interaction of EM fields with electrons in crossed dc fields is correct and captures the operating principle.


Step-by-Step Solution:

1) Evaluate A: It lists electric, magnetic, and centrifugal forces. The centrifugal term is not a physical (inertial) force, so A is wrong.2) Evaluate R: Crossed E–B fields causing electron spoke formation and RF interaction is accurate; R is correct.3) Relationship: Since A is false but R is true, the correct choice is “A is wrong but R is correct”.


Verification / Alternative check:

Textbook treatments derive electron orbits solely from Lorentz force; any “centrifugal” description is a rotating-frame convenience, not an independent force.


Why Other Options Are Wrong:

Options A/B/C assume A is correct; it is not. Option E claims both are wrong; R is right.


Common Pitfalls:

Interpreting curvature of trajectories as evidence of a third physical force; conflating frame-dependent pseudo-forces with actual forces.


Final Answer:

A is wrong but R is correct

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