900 ohms
82 ohms
330 ohms
0.012 ohms

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Equivalent Resistance", "Series and Parallel Circuits" ], "new_concepts": [], "current_concepts": [ "Equivalent Resistance", "Series and Parallel Circuits" ] } ## Identify the circuit configuration $$ \begin{aligned} &R_1 = 450\ \Omega \ &R_2 = 300\ \Omega \ &R_3 = 150\ \Omega \ &\text{All three resistors are connected in parallel across the } 1.5\text{ V source.} \end{aligned} $$ ## Calculate the equivalent resistance $$ \begin{aligned} \frac{1}{R_{eq}} &= \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} \ \frac{1}{R_{eq}} &= \frac{1}{450} + \frac{1}{300} + \frac{1}{150} \ \frac{1}{R_{eq}} &= \frac{2}{900} + \frac{3}{900} + \frac{6}{900} = \frac{11}{900}\ \Omega^{-1} \ R_{eq} &= \frac{900}{11}\ \Omega \approx 81.82\ \Omega \end{aligned} $$ ## Match with the closest option $$ R_{eq} \approx 82\text{ ohms} $$

900 ohms

82 ohms

330 ohms

0.012 ohms

{ "subject": "Natural Science", "question_type": "Multiple Choice", "knowledge_point": [ "Natural Science", "Physics", "Equivalent Resistance" ] }

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Question

Explanation:

Identify the circuit configuration

Calculate the equivalent resistance

Match with the closest option

Answer: