task_physics__bridge_circuit__bridge_missing_resistance_value

Summary

• Domain: physics
• Scene id: bridge_circuit
• Implementation scene: bridge_circuit
• Implementation source: src/trace_tasks/tasks/physics/bridge_circuit/bridge_missing_resistance_value.py

Task Contract

Computes the missing resistor value in a balanced bridge circuit from the visible resistor labels and zero-current bridge meter.

Program Contract

Program: integer(solve_balanced_bridge_resistance(known_resistor_values, zero_meter_condition, unknown_resistor_slot)); scene=bridge_circuit; scope=bridge_missing_resistance_value

Candidate set: the visible bridge circuit components, branch labels, and balance/readout markings inside the bridge_missing_resistance_value objective scope. Operands: resistors_r1_r2_r3_r4 (semantic_role, allowed visible_bridge_resistors_with_known_values_and_one_unknown, source program_schema_concrete); zero_meter_condition (semantic_role, allowed visible_bridge_meter_reading_zero, source program_schema_concrete); unknown_slot (query_operand, allowed R1|R2|R3|R4, source program_schema_concrete). Operation: evaluate integer over the candidate set using the visible quantities, relations, branch semantics, and formulas encoded in the program expression; generation enforces a unique final answer. Output binding: answer uses the integer schema; The answer value is the missing resistance in ohms. Annotation witnesses: bbox witnesses from the finalized render. Annotation marks the question-mark target resistor. The zero meter reading and known resistor labels remain visible context in the image and trace metadata, but they are not public annotation witnesses. Query ids: single.

Reasoning Operations

Families: topology, formula_evaluation

Query Branches

Query id	Program schema
single	integer(solve_balanced_bridge_resistance(known_resistor_values, zero_meter_condition, unknown_resistor_slot)); scene=bridge_circuit; scope=bridge_missing_resistance_value

Program Metadata

• Program signatures: physics.bridge_missing_resistance_value
• Base program contract: integer(solve_balanced_bridge_resistance(known_resistor_values, zero_meter_condition, unknown_resistor_slot)); scene=bridge_circuit; scope=bridge_missing_resistance_value
• Parameter axes: scene_variant, missing_resistor, target_answer
• Arguments:
• resistors_r1_r2_r3_r4: semantic_role; allowed visible_bridge_resistors_with_known_values_and_one_unknown; source program_schema_concrete
• zero_meter_condition: semantic_role; allowed visible_bridge_meter_reading_zero; source program_schema_concrete
• unknown_slot: query_operand; allowed R1|R2|R3|R4; source program_schema_concrete
• Argument metadata status: curated
• Supported query ids: single

Answer Contract

• Answer schema: integer
• Generator answer_gt.type: integer
• The answer value is the missing resistance in ohms.

Annotation Contract

• Annotation schema: bbox
• Generator annotation_gt.type: bbox
• Annotation marks the question-mark target resistor.
• The zero meter reading and known resistor labels remain visible context in the image and trace metadata, but they are not public annotation witnesses.
• Annotation and answer must be projected from the same generated execution trace, not inferred from pixels or prompt text.

Prompt And Trace Requirements

• Prompt text must come from the physics bridge-circuit v1 prompt bundle, with scene and task/query layers selected deterministically and recorded in metadata.
• Render randomness, sampled fonts/styles, known resistor values, missing slot, zero-meter condition, and verifier payloads must be explicit in the instance trace.
• Diagrams must keep the bridge topology, resistor labels, question-mark target, and zero meter visible.