On the limits of validity of the impedance boundary conditions for the analysis of induced currents in solid conductors
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Bibliographic record
Abstract
The analysis of induced currents in conducting bodies due to the presence of an external magnetic field variable with time is necessary in numerous areas of applied electromagnetics, such as induction heating, eddy-current braking, electromagnetic shielding and electromagnetic levitation. An accurate study of the induced currents requires the field solution for both the inside and outside of the conductor. Exact analytical solutions are possible for a limited number of geometries. In order to reduce substantially the amount of computation, at high frequencies one can use the impedance boundary condition (IBC) models where only the field solution outside the conductor is needed. The simplest model is the perfect electrical conductor (PEC) model. More accurate results can be obtained by using the standard impedance boundary condition (SIBC) model and also the curvature corrected surface impedance models.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it