question 9

a two-resistor series circuit has an applied voltage of 100 v. the voltage across one of the resistors is 40 v. what is the voltage across the other resistor?
a. 140 v
b. 2.5 v
c. 0.4 v
d. 60 v

Question

question 9

a two-resistor series circuit has an applied voltage of 100 v. the voltage across one of the resistors is 40 v. what is the voltage across the other resistor?
a. 140 v
b. 2.5 v
c. 0.4 v
d. 60 v

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Series Circuits", "Kirchhoffs Voltage Law" ], "new_concepts": [], "current_concepts": [ "Series Circuits", "Kirchhoffs Voltage Law", "Voltage Drop" ] } ## Identify the given circuit parameters Using the *Series Circuits* knowledge point $$ \begin{aligned} &V_{\text{total}} = 100\text{ V}\ &V_1 = 40\text{ V} \end{aligned} $$ ## Apply Kirchhoff's Voltage Law Using the *Kirchhoffs Voltage Law* knowledge point $$ \begin{aligned} &V_{\text{total}} = V_1 + V_2\ &100\text{ V} = 40\text{ V} + V_2\ &V_2 = 100\text{ V} - 40\text{ V} = 60\text{ V} \end{aligned} $$

a. 140 V

b. 2.5 V

c. 0.4 V

d. 60 V

{ "subject": "Natural Science", "question_type": "Multiple Choice", "knowledge_point": [ "Natural Science", "Physics", "Kirchhoff's Voltage Law" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given circuit parameters

Apply Kirchhoff's Voltage Law

Answer: