The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-inductor-behavior-in-an-rl-circuit-ba11

hold
2026-05-29 04:52:02 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain inductor behavior in an RL circuit. State any key formula.
84 chars

Generation

In an RL circuit, an inductor opposes changes in current by generating a back EMF (electromotive force) proportional to the rate of current change. When voltage is first applied, current increases exponentially from zero according to the time constant τ = L/R, where L is inductance and R is resistance. The current approaches its steady-state value I = V/R, following the equation **I(t) = (V/R)(1 - e^(-t/τ))**. When the voltage source is removed, the inductor releases its stored magnetic energy, causing current to decay exponentially to zero.
30 tokens in · 138 tokens out · 4341 ms · $0.0022

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
wait
output contains coercion language: ['force']
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
4349.2 ms
Base LLM
4341.5 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0022

Trail

04:52:02 received prompt_chars=84 verifiers=['scripture_anchors', 'theology_doctrine']
04:52:02 red_gate decision=pass reason=no disqualifying input patterns detected
04:52:06 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=30 tokens_out=138 latency_ms=4341.5 cost_usd=0.0022
04:52:06 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:52:06 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:52:06 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:52:06 way_gate decision=wait reason=output contains coercion language: ['force']
04:52:06 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:52:06 signed hash_algo=sha256 hash=sha256:7b113eb25e40cfbe6067e738f332c60511dc43ccb45967b2590a574f5e0996ba

Content hash

sha256:7b113eb25e40cfbe6067e738f332c60511dc43ccb45967b2590a574f5e0996ba

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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