The Mechanism · Gated-generation receipt

gen-explain-the-transformer-turns-ratio-as-you-would-to-a-capabl-703c

stable pending witness
2026-05-29 07:53:38 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain the transformer turns ratio as you would to a capable student, in 3-4 sentences.
88 chars

Generation

# Transformer Turns Ratio The **turns ratio** is simply the ratio of the number of wire coils on the primary side to the secondary side of a transformer (Np:Ns). This ratio directly determines how the transformer changes voltage—for example, a 10:1 turns ratio means the primary has 10 times more coils than the secondary, so it will step down the voltage by a factor of 10. The key principle is that **voltage is proportional to the number of turns** (Vp/Vs = Np/Ns), while **current changes inversely** (Ip/Is = Ns/Np) to conserve power. So a step-down transformer that reduces voltage will proportionally increase current, assuming ideal conditions.
29 tokens in · 170 tokens out · 6595 ms · $0.0026

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
6609.0 ms
Base LLM
6595.2 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0026

Trail

07:53:38 received prompt_chars=88 verifiers=['scripture_anchors', 'theology_doctrine']
07:53:38 red_gate decision=pass reason=no disqualifying input patterns detected
07:53:45 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=170 latency_ms=6595.2 cost_usd=0.0026
07:53:45 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:53:45 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:53:45 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:53:45 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:53:45 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:53:45 signed hash_algo=sha256 hash=sha256:c9d12dcc1fdc95d644882d390c347d6f6923a5a6e79cca5f1376ce3f45c10587

Content hash

sha256:c9d12dcc1fdc95d644882d390c347d6f6923a5a6e79cca5f1376ce3f45c10587

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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