7. a series circuit contains five resistors. the total voltage applied to the circuit is 120 v. four resistors have voltage drops of 35 v, 28 v, 22 v, and 15 v. what is the voltage drop of the fifth resistor?

35 volts

20 volts

15 volts

10 volts

Question

7. a series circuit contains five resistors. the total voltage applied to the circuit is 120 v. four resistors have voltage drops of 35 v, 28 v, 22 v, and 15 v. what is the voltage drop of the fifth resistor?

35 volts

20 volts

15 volts

10 volts

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", "Voltage Drop", "Kirchhoffs Voltage Law" ], "new_concepts": [], "current_concepts": [ "Series Circuits", "Voltage Drop", "Kirchhoffs Voltage Law" ] } ## Identify given values and target unknown $$ \begin{aligned} &V_{\text{total}} = 120\text{ V} \ &V_1 = 35\text{ V},\quad V_2 = 28\text{ V},\quad V_3 = 22\text{ V},\quad V_4 = 15\text{ V} \ &\text{Target: } V_5 \end{aligned} $$ ## Apply Kirchhoff's Voltage Law for series circuits $$ \begin{aligned} &V_{\text{total}} = V_1 + V_2 + V_3 + V_4 + V_5 \ &120 = 35 + 28 + 22 + 15 + V_5 \end{aligned} $$ ## Solve for the fifth voltage drop $$ \begin{aligned} &120 = 100 + V_5 \ &V_5 = 20\text{ V} \end{aligned} $$

35 volts

20 volts

15 volts

10 volts

{ "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 given values and target unknown

Apply Kirchhoff's Voltage Law for series circuits

Solve for the fifth voltage drop

Answer: