The Mechanism · Gated-generation receipt

gen-define-kirchhoff-s-current-law-and-give-one-short-worked-exa-1e63

stable pending witness
2026-05-29 08:58:15 UTC · anthropic/claude-sonnet-4-5

Prompt

Define Kirchhoff's current law and give one short worked example.
65 chars

Generation

# Kirchhoff's Current Law (KCL) **Definition:** The algebraic sum of all currents entering and leaving a node (junction) in an electrical circuit equals zero. Alternatively: the total current entering a node equals the total current leaving that node. Mathematically: **ΣI = 0** at any node ## Worked Example Consider a node where: - I₁ = 5 A flows **into** the node - I₂ = 2 A flows **into** the node - I₃ = 4 A flows **out of** the node - I₄ flows **out of** the node (unknown) **Solution:** Using the sign convention (incoming = positive, outgoing = negative): ΣI = I₁ + I₂ - I₃ - I₄ = 0 5 + 2 - 4 - I₄ = 0 3 - I₄ = 0 **I₄ = 3 A** Therefore, 3 A flows out of the node, which makes sense since the total current in (7 A) must equal the total current out (4 A + 3 A = 7 A).
22 tokens in · 293 tokens out · 6111 ms · $0.0045

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
6118.5 ms
Base LLM
6110.9 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0045

Trail

08:58:15 received prompt_chars=65 verifiers=['scripture_anchors', 'theology_doctrine']
08:58:15 red_gate decision=pass reason=no disqualifying input patterns detected
08:58:21 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=22 tokens_out=293 latency_ms=6110.9 cost_usd=0.0045
08:58:21 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:58:21 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:58:21 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:58:21 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:58:21 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:58:21 signed hash_algo=sha256 hash=sha256:5481baebf702a7a09a840a2439ed784370b80d355c3718ac070359d3195b3187

Content hash

sha256:5481baebf702a7a09a840a2439ed784370b80d355c3718ac070359d3195b3187

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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