The Mechanism · Gated-generation receipt

gen-explain-impedance-and-reactance-as-you-would-to-a-capable-st-5faf

stable pending witness
2026-05-29 05:08:53 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain impedance and reactance as you would to a capable student, in 3-4 sentences.
84 chars

Generation

# Impedance and Reactance **Impedance** is the total opposition to current flow in an AC circuit, combining both resistance (which dissipates energy as heat) and reactance (which temporarily stores and releases energy). It's measured in ohms and represented as a complex number, where the real part is resistance and the imaginary part is reactance. **Reactance** is specifically the opposition caused by capacitors and inductors: capacitors oppose *changes* in voltage while inductors oppose *changes* in current. Unlike resistance, reactance doesn't dissipate energy—it just shifts the timing (phase) between voltage and current, and its value depends on the AC frequency.
30 tokens in · 150 tokens out · 4225 ms · $0.0023

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
4232.2 ms
Base LLM
4224.8 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0023

Trail

05:08:53 received prompt_chars=84 verifiers=['scripture_anchors', 'theology_doctrine']
05:08:53 red_gate decision=pass reason=no disqualifying input patterns detected
05:08:57 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=30 tokens_out=150 latency_ms=4224.8 cost_usd=0.0023
05:08:57 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:08:57 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:08:57 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:08:57 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:08:57 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:08:57 signed hash_algo=sha256 hash=sha256:01399849c9c365da3d012eb4856482c279996501ce2bcd62f37967923f876324

Content hash

sha256:01399849c9c365da3d012eb4856482c279996501ce2bcd62f37967923f876324

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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