The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-rms-voltage-and-current-state-any-k-c647

stable pending witness
2026-05-29 05:19:35 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain RMS voltage and current. State any key formula.
73 chars

Generation

RMS (Root Mean Square) voltage and current represent the equivalent DC values that would deliver the same average power to a resistive load as an AC signal. For a sinusoidal waveform, RMS values are calculated by taking the square root of the mean of the squared instantaneous values over one complete cycle. The key formulas are: - **V_RMS = V_peak / √2 ≈ 0.707 × V_peak** - **I_RMS = I_peak / √2 ≈ 0.707 × I_peak** RMS values are the standard way to express AC voltage and current (e.g., household 120V AC is an RMS value), because they allow direct calculation of real power using P = V_RMS × I_RMS for resistive loads.
27 tokens in · 189 tokens out · 4397 ms · $0.0029

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
4404.4 ms
Base LLM
4396.6 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0029

Trail

05:19:35 received prompt_chars=73 verifiers=['scripture_anchors', 'theology_doctrine']
05:19:35 red_gate decision=pass reason=no disqualifying input patterns detected
05:19:40 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=189 latency_ms=4396.6 cost_usd=0.0029
05:19:40 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:19:40 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:19:40 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:19:40 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:19:40 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:19:40 signed hash_algo=sha256 hash=sha256:5d435cef4d335bb0850b796d746e678d251194b4369a65e30bd92b6846e5b3c0

Content hash

sha256:5d435cef4d335bb0850b796d746e678d251194b4369a65e30bd92b6846e5b3c0

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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