Difficulty: Easy
Correct Answer: is zero
Explanation:
Introduction / Context:
Many automotive sensors (reluctor, variable reluctance, and some Hall-effect arrangements) rely on changing magnetic flux caused by rotating toothed wheels or tabs. The induced voltage depends on motion through the magnetic field. When motion stops, diagnostic expectations for the sensor voltage must be clear.
Given Data / Assumptions:
Concept / Approach:
By Faraday’s law, induced emf equals the negative rate of change of flux: E = - dΦ/dt. For a stationary tab and magnet, Φ is constant in time (even if its absolute value is high or low), making dΦ/dt = 0. Therefore, the induced voltage is zero when the rotor stops.
Step-by-Step Solution:
Verification / Alternative check:
Oscilloscope observation on a VR sensor shows the output collapses to zero when the wheel stops, regardless of tooth position. Hall sensors with separate supply may hold a logic level, but the question concerns induced voltage from changing flux, which becomes zero without motion.
Why Other Options Are Wrong:
Common Pitfalls:
Final Answer:
is zero
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