The Mechanism · Gated-generation receipt

gen-state-the-behavior-of-an-rlc-circuit-precisely-and-explain-w-080b

stable pending witness
2026-05-29 03:42:13 UTC · anthropic/claude-sonnet-4-5

Prompt

State the behavior of an RLC circuit precisely and explain why it matters in 2-3 sentences.
91 chars

Generation

# RLC Circuit Behavior An RLC circuit containing a resistor (R), inductor (L), and capacitor (C) exhibits **damped oscillation** when disturbed from equilibrium, where energy alternately transfers between the inductor's magnetic field and capacitor's electric field while being dissipated by the resistor. The circuit's response is characterized by a **natural resonant frequency** ω₀ = 1/√(LC) and **damping ratio** ζ = R/2√(L/C), which determine whether it oscillates, critically damps, or overdamps. This matters because RLC circuits form the foundation of **frequency-selective filters, radio tuners, and signal processing systems**—the damping and resonance properties allow engineers to precisely control which frequencies pass through or get blocked, enabling everything from AM/FM radios to noise filtering in electronics.
29 tokens in · 196 tokens out · 6001 ms · $0.003

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
6008.2 ms
Base LLM
6000.7 ms
Verifiers
0.4 ms
Gates
0.1 ms
Cost
$0.003

Trail

03:42:13 received prompt_chars=91 verifiers=['scripture_anchors', 'theology_doctrine']
03:42:13 red_gate decision=pass reason=no disqualifying input patterns detected
03:42:19 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=196 latency_ms=6000.7 cost_usd=0.003
03:42:19 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:42:19 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:42:19 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:42:19 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:42:19 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:42:19 signed hash_algo=sha256 hash=sha256:32421b05f90570d4855e30b8b78c62a56c5f47640dcb66aa46f2062fa7a7a0d9

Content hash

sha256:32421b05f90570d4855e30b8b78c62a56c5f47640dcb66aa46f2062fa7a7a0d9

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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