{"query": "Varactor — tuning by voltage", "count": 5, "results": [{"id": "card_n_f9e74aa145cc", "title": "Varactor — tuning by voltage", "shelf": "science", "surface": "secular", "snippet": "A reverse-biased junction is a capacitor whose plates move with voltage — so voltage\ntunes frequency. The law that seals is exact: since f ∝ 1/√C, halving the capacitance raises\nthe frequency by exact", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "generated": false}, {"id": "card_c_106861f9474c", "title": "Varactor — tuning by voltage ↔ Oscillator — LC resonance, the bench's own S", "shelf": "connections", "surface": null, "snippet": "since f ∝ 1/√C, halving the capacitance raises the frequency by exactly √2  — a concord the card itself states; mined + verified.", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "generated": false}, {"id": "card_c_b432c299ac6e", "title": "Varactor — tuning by voltage ↔ Electronics — the resonant chain, from Ohm's", "shelf": "connections", "surface": null, "snippet": "since f ∝ 1/√C, halving the capacitance raises the frequency by exactly √2 ... and the tempting error 'halving C halves f' seals BROKEN with residual √2 − 1/2  — a concord the card itself states; mine", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "generated": false}, {"id": "card_n_cdb747a427d2", "title": "Electronics — the resonant chain, from Ohm's law to the radio wave", "shelf": "science", "surface": "secular", "snippet": "One sealed chain runs the whole bench: Ohm's law (V = I·R), the capacitor's\nexponential clock (one time constant → 63.2% charged), the diode's exponential gate (current\ndoubles every ln2·nVT ≈ 17.9 mV", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "generated": false}, {"id": "card_c_f9a635d90e86", "title": "Varactor instantiates the resonant chain", "shelf": "connections", "surface": null, "snippet": "One component of the sealed Ohm-to-radio chain.", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "generated": false}]}