5. a series circuit has individual resistor values of 200 $\omega$, 86 $\omega$, 91 $\omega$, 180 $\omega$, and 150 $\omega$. which of the following is the total resistance of the circuit?

710 $\omega$

507 $\omega$

557 $\omega$

707 $\omega$

Question

5. a series circuit has individual resistor values of 200 $\omega$, 86 $\omega$, 91 $\omega$, 180 $\omega$, and 150 $\omega$. which of the following is the total resistance of the circuit?

710 $\omega$

507 $\omega$

557 $\omega$

707 $\omega$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Series Circuits" ], "new_concepts": [], "current_concepts": [ "Series Circuits", "Equivalent Resistance" ] } ## Identify the given resistor values $$ R_1 = 200\,\Omega,\ R_2 = 86\,\Omega,\ R_3 = 91\,\Omega,\ R_4 = 180\,\Omega,\ R_5 = 150\,\Omega $$ ## Calculate the total equivalent resistance $$ R_{\text{total}} = R_1 + R_2 + R_3 + R_4 + R_5 $$ $$ R_{\text{total}} = 200 + 86 + 91 + 180 + 150 = 707\,\Omega $$

(A) $710\,\Omega$

(B) $507\,\Omega$

(C) $557\,\Omega$

(D) $707\,\Omega$

{ "subject": "Natural Science", "question_type": "Multiple Choice", "knowledge_point": [ "Natural Science", "Physics", "Series Circuits" ] }

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Question

Explanation:

Identify the given resistor values

Calculate the total equivalent resistance

Answer: