if the primary to secondary voltage ration is 4:1 for a transformer, what is the secondary voltage if the primary voltage is 464 volts?

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Proportional Reasoning", "Direct Proportion Equations" ], "new_concepts": [ "Transformer Voltage Ratio" ], "current_concepts": [ "Proportional Reasoning", "Direct Proportion Equations", "Transformer Voltage Ratio" ] } ## Set up the proportion equation $$ \frac{V_p}{V_s} = \frac{4}{1} $$ ## Substitute the given primary voltage and solve for secondary voltage $$ \begin{aligned} \frac{464}{V_s} &= 4 \ V_s &= \frac{464}{4} \ V_s &= 116 \end{aligned} $$ 116 volts { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Proportional Reasoning" ] }

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Explanation:

Set up the proportion equation

Substitute the given primary voltage and solve for secondary voltage

Answer: