The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-a-transistor-as-a-switch-state-any-6856

stable pending witness
2026-05-29 06:53:49 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain a transistor as a switch. State any key formula.
74 chars

Generation

A transistor acts as an electrically controlled switch that can turn current flow on or off between two terminals (collector and emitter for BJT, or drain and source for MOSFET) based on the voltage or current applied to a third control terminal (base for BJT, or gate for MOSFET). When the control signal exceeds a threshold voltage, the transistor enters saturation (BJT) or the triode/linear region (MOSFET), allowing current to flow freely (switch "ON"). When the control signal is below the threshold, the transistor is in cutoff, blocking current flow (switch "OFF"). **Key formula for MOSFET (in saturation/on region)**: I_D = (1/2)μC_ox(W/L)(V_GS - V_th)², where I_D is drain current, V_GS is gate-source voltage, and V_th is threshold voltage.
28 tokens in · 210 tokens out · 6051 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
6057.6 ms
Base LLM
6051.0 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0032

Trail

06:53:49 received prompt_chars=74 verifiers=['scripture_anchors', 'theology_doctrine']
06:53:49 red_gate decision=pass reason=no disqualifying input patterns detected
06:53:55 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=210 latency_ms=6051.0 cost_usd=0.0032
06:53:55 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:53:55 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:53:55 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:53:55 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:53:55 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:53:55 signed hash_algo=sha256 hash=sha256:c162bd13db4c6529f4f4bbdcfaa7bdcf438062b1d0d687021fb56eb88b95abfd

Content hash

sha256:c162bd13db4c6529f4f4bbdcfaa7bdcf438062b1d0d687021fb56eb88b95abfd

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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