question 37,

what is the drop voltage across each resistor having the same value in a 24-volt battery circuit that has four resistors?
a. 3
b. 6
c. 4
d. 8

Question

question 37,

what is the drop voltage across each resistor having the same value in a 24-volt battery circuit that has four resistors?
a. 3
b. 6
c. 4
d. 8

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", "Voltage Drop", "Kirchhoffs Voltage Law" ], "new_concepts": [], "current_concepts": [ "Series Circuits", "Voltage Drop", "Kirchhoffs Voltage Law", "Voltage Dividers" ] } ## Identify the circuit parameters Using the *Series Circuits* knowledge point $$ \begin{aligned} &V_{\text{total}} = 24\text{ V}\ &N = 4\ &R_1 = R_2 = R_3 = R_4 = R \end{aligned} $$ ## Calculate voltage drop per resistor Using the *Voltage Drop* and *Kirchhoffs Voltage Law* knowledge points $$ \begin{aligned} &V_{\text{total}} = V_1 + V_2 + V_3 + V_4\ &V_1 = V_2 = V_3 = V_4 = V_{\text{drop}}\ &24\text{ V} = 4 \cdot V_{\text{drop}}\ &V_{\text{drop}} = \frac{24\text{ V}}{4} = 6\text{ V} \end{aligned} $$

a. 3

b. 6

c. 4

d. 8

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

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QUESTION IMAGE

Question

Explanation:

Identify the circuit parameters

Calculate voltage drop per resistor

Answer: