{"query": "Resistor — Ohm's law, the linear floor of the bench", "count": 20, "results": [{"id": "card_n_99e293a30ed9", "title": "Resistor — Ohm's law, the linear floor of the bench", "shelf": "science", "surface": "secular", "snippet": "V = I·R — sealed in-domain by the electrical fleet (12 V = 0.5 A × 24 Ω): https://narrowhighway.com/s/1ee0d3ed486453eee0967146a531984888709198b39fb16a7b2c2a5f58ef1b73 .\nThe honest note: Ohm's 'law' is", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_theory_ohm_s_law_circuit_theory", "title": "Ohm's law & circuit theory (Kirchhoff)", "shelf": "theories", "surface": "secular", "snippet": "Ohm's law & circuit theory (Kirchhoff) — an engine domain that can touch it: electrical. Calibration: seals — voltages, currents and power all compute directly. V = IR, plus Kirchhoff's two rules: cur", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_power_basics", "title": "Volts, amps, watts — the words you need", "shelf": "energy", "surface": "secular", "snippet": "Three words run everything. VOLTS (V) are the push (like water pressure); AMPS (A) are the flow (like the current in a pipe); WATTS (W) are the actual power, and Watts = Volts × Amps. Energy over time", "authority_tier": "reference", "source": "Basic electrical law (Ohm's law; power = volts × amps) — public fact", "readable": false, "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", "readable": false, "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", "readable": false, "generated": false}, {"id": "card_src_openstax_physics_section_summary_c02519d3", "title": "Section Summary — Physics", "shelf": "physics", "surface": "secular", "snippet": "Section Summary\n\n19.1\n\nOhm's law\n\nDirect current is constant over time; alternating current alternates smoothly back and forth over time.\n\nElectrical resistance causes materials to extract work from t", "authority_tier": "reference", "source": "OpenStax: Physics (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_works_ohms_law", "title": "A 12-volt circuit: the current it draws, the power it burns", "shelf": "the-works", "surface": "secular", "snippet": "Ohm's law ties voltage, current and resistance; the power law says how much heat that makes. 12 V across 6 Ω draws 2 A and dissipates 24 W — the power line standing on Ohm's.  Worked & sealed by the e", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_src_openstax_physics_short_answer_212b2918", "title": "Short Answer — Physics", "shelf": "physics", "surface": "secular", "snippet": "Short Answer\n\n19.1\n\nOhm's law\n\n44.\n\nTrue or false—it is possible to produce nonzero DC current by adding together AC currents.\n\nfalse\n\ntrue\n\n45.\n\nWhat type of current is used in cars?\n\nalternating cur", "authority_tier": "reference", "source": "OpenStax: Physics (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_physics_critical_thinking_items_c4a81b99", "title": "Critical Thinking Items — Physics", "shelf": "physics", "surface": "secular", "snippet": "Critical Thinking Items\n\n19.1\n\nOhm's law\n\n11.\n\nAn accelerator accelerates He nuclei (charge = 2e) to a speed of v = 2 × 106 m/s. What is the current if the linear density of He nuclei is λ = 108 m–1?\n", "authority_tier": "reference", "source": "OpenStax: Physics (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_university_physics_volume_2_9_4_ohm_s_law_a7dfdf47", "title": "9.4 Ohm's Law — University Physics Volume 2", "shelf": "physics", "surface": "secular", "snippet": "9.4\n\nOhm's Law\n\nLearning Objectives\nBy the end of this section, you will be able to:\n\nDescribe Ohm’s law\n\nRecognize when Ohm’s law applies and when it does not\n\nWe have been discussing three electrica", "authority_tier": "reference", "source": "OpenStax: University Physics Volume 2 (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_physics_problems_a2a4f863", "title": "Problems — Physics", "shelf": "physics", "surface": "secular", "snippet": "Problems\n\n19.1\n\nOhm's law\n\n20.\n\nWhat voltage is needed to make 6 C of charge traverse a 100-Ω resistor in 1 min?\n\nThe required voltage is 1 × 10−3 V.\n\nThe required voltage is 10 V.\n\nThe required volta", "authority_tier": "reference", "source": "OpenStax: Physics (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_calc_ohms_law", "title": "Ohm's law", "shelf": "calculations", "surface": "secular", "snippet": "Ohm's law — electrical. Formula: I = V / R. Canonical FORM: linear_flux (flux = conductance * gradient) — current is driven by a voltage gradient. Same form, different domain: this is the linear_flux ", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_src_word_ohm_s_law", "title": "ohm's law", "shelf": "dictionary", "surface": "secular", "snippet": "ohm's law: (noun) electric current is directly proportional to voltage and inversely proportional to resistance; I = E/R", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_openstax_college_physics_ap_courses_20_2_ohm_s_law_resistance_and_simple_cir_cfb4cad4", "title": "20.2 Ohm’s Law: Resistance and Simple Circuits — College Physics for AP® Courses", "shelf": "physics", "surface": "secular", "snippet": "20.2\n\nOhm’s Law: Resistance and Simple Circuits\n\nLearning Objectives\n\nBy the end of this section, you will be able to:\n\nExplain the origin of Ohm's law.\n\nCalculate voltages, currents, and resistances ", "authority_tier": "reference", "source": "OpenStax: College Physics for AP® Courses (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_physics_extended_response_14b46c0b", "title": "Extended Response — Physics", "shelf": "physics", "surface": "secular", "snippet": "Extended Response\n\n19.1\n\nOhm's law\n\n61\n.\n\nExplain how current and charge are related, including how direction is defined.\n\nElectric current is the charge that passes through a conductor per unit time.", "authority_tier": "reference", "source": "OpenStax: Physics (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_physics_19_1_ohm_s_law_2e9cd89d", "title": "19.1 Ohm's law — Physics", "shelf": "physics", "surface": "secular", "snippet": "19.1\n\nOhm's law\n\nSection Learning Objectives\n\nBy the end of this section, you will be able to do the following:\n\nDescribe how current is related to charge and time, and distinguish between direct curr", "authority_tier": "reference", "source": "OpenStax: Physics (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_calc_poiseuille", "title": "Hagen-Poiseuille flow", "shelf": "calculations", "surface": "secular", "snippet": "Hagen-Poiseuille flow — physics. Formula: Q = pi r^4 dP / (8 mu L). Canonical FORM: linear_flux (flux = conductance * gradient) — laminar flow driven by a pressure gradient — the fluid Ohm's law. Same", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_src_pron_ohm_s", "title": "ohm's", "shelf": "pronunciation", "surface": "secular", "snippet": "ohm's: pronounced (ARPABET) OW1 M Z. From the CMU Pronouncing Dictionary — the standard machine-readable pronunciations of North American English.", "authority_tier": "reference", "source": "CMU Pronouncing Dictionary (cmudict) — BSD-2-Clause, Carnegie Mellon", "readable": false, "generated": false}, {"id": "card_src_openstax_college_physics_introduction_to_electric_current_resista_127f63f7", "title": "Introduction to Electric Current, Resistance, and Ohm's Law — College Physics", "shelf": "physics", "surface": "secular", "snippet": "Figure\n20.1\n\nElectric energy in massive quantities is transmitted from this hydroelectric facility, the Srisailam power station located along the Krishna River in India, by the movement of charge—that", "authority_tier": "reference", "source": "OpenStax: College Physics (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_bridge_master_flux_gradient", "title": "Master equation: J = -k * grad(phi)", "shelf": "bridges", "surface": "secular", "snippet": "a flow driven linearly by a difference — the same law wherever something runs down a gradient. ONE equation, 7 domains, connected by a change of variable: electrical [J = current density, k = conducti", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_n_99e293a30ed9"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}