in the cgs system, 1 gilbert equals how many ampere-turns?
a. 0.1555
b. 1.256637
c. 0.7905
d. 1.256

Question

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": [ "Ampere-turns", "Magnetomotive Force", "CGS System" ], "new_concepts": [], "current_concepts": [ "Ampere-turns", "Magnetomotive Force", "CGS System" ] } ## Identify the units of magnetomotive force Using the *Magnetomotive Force* and *CGS System* knowledge points $$ \begin{aligned} &\text{CGS Unit: } \text{gilbert (Gb)}\ &\text{SI Unit: } \text{ampere-turn (At)} \end{aligned} $$ ## Apply the conversion factor Using the *Ampere-turns* knowledge point $$ \begin{aligned} &1 \text{ Gb} = \frac{10}{4\pi} \text{ At} \approx 0.79577 \text{ At}\ &1 \text{ At} = \frac{4\pi}{10} \text{ Gb} \approx 1.256637 \text{ Gb} \end{aligned} $$ ## Calculate the value for 1 gilbert Using the *CGS System* knowledge point $$ \begin{aligned} &1 \text{ Gb} = \frac{10}{4\pi} \text{ At} \approx 0.79577 \text{ At} \approx 0.7905 \text{ At (approximate value in options)} \end{aligned} $$

a. 0.1555

b. 1.256637

c. 0.7905

d. 1.256

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

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Question

Explanation:

Identify the units of magnetomotive force

Apply the conversion factor

Calculate the value for 1 gilbert

Answer: