The Mechanism · Gated-generation receipt

gen-state-rms-voltage-and-current-precisely-and-explain-why-it-m-7ca3

stable pending witness
2026-05-29 03:27:15 UTC · anthropic/claude-sonnet-4-5

Prompt

State RMS voltage and current precisely and explain why it matters in 2-3 sentences.
84 chars

Generation

# RMS Voltage and Current **RMS (Root Mean Square) voltage** is the equivalent DC voltage that would deliver the same average power to a resistive load. For a sinusoidal AC signal with peak voltage V₀, **VRMS = V₀/√2 ≈ 0.707V₀**. Similarly, **IRMS = I₀/√2 ≈ 0.707I₀**. ## Why It Matters RMS values matter because **power calculations require RMS values** (P = VRMS × IRMS for resistive loads), not peak or average values. When you see "120V AC" on an outlet or appliance rating, that's the RMS voltage—the value that accurately represents the circuit's power delivery capability. Using peak or instantaneous values would give incorrect power calculations and lead to improper circuit design, component ratings, and safety hazards.
27 tokens in · 208 tokens out · 5917 ms · $0.0032

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
5924.0 ms
Base LLM
5916.6 ms
Verifiers
0.4 ms
Gates
0.1 ms
Cost
$0.0032

Trail

03:27:15 received prompt_chars=84 verifiers=['scripture_anchors', 'theology_doctrine']
03:27:15 red_gate decision=pass reason=no disqualifying input patterns detected
03:27:21 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=208 latency_ms=5916.6 cost_usd=0.0032
03:27:21 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:27:21 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:27:21 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:27:21 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:27:21 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:27:21 signed hash_algo=sha256 hash=sha256:516e858fd46d652429d4247d170e81bff4e421150b3838ec5c56bede15085992

Content hash

sha256:516e858fd46d652429d4247d170e81bff4e421150b3838ec5c56bede15085992

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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