The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-behavior-of-an-rlc-circuit-stat-f00f

stable pending witness
2026-05-29 03:34:10 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the behavior of an RLC circuit. State any key formula.
80 chars

Generation

An RLC circuit contains a resistor (R), inductor (L), and capacitor (C) that can be connected in series or parallel. The circuit exhibits oscillatory behavior where energy alternates between the magnetic field of the inductor and the electric field of the capacitor, while the resistor dissipates energy. The circuit's behavior is characterized by its **resonant frequency** f₀ = 1/(2π√LC), at which the inductive and capacitive reactances cancel out. Depending on the resistance value, the circuit can be underdamped (oscillatory), critically damped, or overdamped in its transient response.
29 tokens in · 142 tokens out · 3941 ms · $0.0022

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
3948.2 ms
Base LLM
3941.0 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0022

Trail

03:34:10 received prompt_chars=80 verifiers=['scripture_anchors', 'theology_doctrine']
03:34:10 red_gate decision=pass reason=no disqualifying input patterns detected
03:34:14 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=142 latency_ms=3941.0 cost_usd=0.0022
03:34:14 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:34:14 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:34:14 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:34:14 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:34:14 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:34:14 signed hash_algo=sha256 hash=sha256:2c2ad38d4b0646e36818537c5b35b87f0b5b672c253fed475004fc786921817e

Content hash

sha256:2c2ad38d4b0646e36818537c5b35b87f0b5b672c253fed475004fc786921817e

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.

Bring another teaching · Run a discernment