determine the overall current in the following circuit, in amps.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Equivalent Resistance", "Series and Parallel Circuits", "Ohm's Law" ], "new_concepts": [], "current_concepts": [ "Equivalent Resistance", "Series and Parallel Circuits", "Ohm's Law" ] } ## Calculate equivalent resistance of the parallel branch $$ \begin{aligned} R_p &= \frac{100 \cdot 100}{100 + 100} \ R_p &= 50\ \Omega \end{aligned} $$ ## Calculate total equivalent resistance of the circuit $$ \begin{aligned} R_{eq} &= R_s + R_p \ R_{eq} &= 50\ \Omega + 50\ \Omega \ R_{eq} &= 100\ \Omega \end{aligned} $$ ## Calculate overall current using Ohm's law $$ \begin{aligned} I &= \frac{V}{R_{eq}} \ I &= \frac{9\text{ V}}{100\ \Omega} \ I &= 0.09\text{ A} \end{aligned} $$ $0.09\text{ A}$ { "subject": "Natural Science", "question_type": "Free Response", "knowledge_point": [ "Natural Science", "Physics", "Ohm's Law" ] }

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Explanation:

Calculate equivalent resistance of the parallel branch

Calculate total equivalent resistance of the circuit

Calculate overall current using Ohm's law

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