Ecrit par ✅ Quiz : Condensateurs
Ce quiz contient 20 questions.
Note : Placeholder pour valider la structure. Le JSON converti est conservé ci-dessous pour l’import final des vraies questions Tutor LMS.
JSON Tutor LMS-ready
{
"quiz_title": "Condensateurs",
"quiz_slug": "08_condensateurs_quiz",
"quiz_description": "Quiz Edu509 : Condensateurs",
"quiz_settings": {
"time_limit": {
"time_value": 0,
"time_type": "minutes"
},
"hide_quiz_time_display": false,
"attempts_allowed": 0,
"passing_grade": 70,
"max_questions_for_answer": 0,
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},
"questions": [
{
"question_order": 1,
"question_title": "Quelle est la charge stockée par un condensateur de capacité \\\\( C = 220~\\\\mathrm{\\\\mu F} \\\\) soumis à une tension de \\\\( U = 9~\\\\mathrm{V} \\\\) ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La charge est donnée par \\\\( Q = C \\\\times U \\\\). Ici, \\\\( C = 220 \\\\times 10^{-6}~\\\\mathrm{F} \\\\) et \\\\( U = 9~\\\\mathrm{V} \\\\). Donc \\\\( Q = 220 \\\\times 10^{-6} \\\\times 9 = 1,98 \\\\times 10^{-3}~\\\\mathrm{C} = 1,98~\\\\mathrm{mC} \\\\).",
"answers": [
{
"answer_title": "1,98~\\\\mathrm{mC}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,198~\\\\mathrm{mC}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "19,8~\\\\mathrm{mC}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,0198~\\\\mathrm{mC}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 2,
"question_title": "Un condensateur de capacité \\\\( 4,7~\\\\mathrm{\\\\mu F} \\\\) est soumis à une tension de \\\\( 50~\\\\mathrm{V} \\\\). Quelle énergie est stockée ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L'énergie stockée est \\\\( E = \\\\frac{1}{2} C U^2 \\\\). Ici, \\\\( C = 4,7 \\\\times 10^{-6}~\\\\mathrm{F} \\\\), \\\\( U = 50~\\\\mathrm{V} \\\\). \\\\( E = 0,5 \\\\times 4,7 \\\\times 10^{-6} \\\\times 2500 = 5,88 \\\\times 10^{-3}~\\\\mathrm{J} = 5,88~\\\\mathrm{mJ} \\\\).",
"answers": [
{
"answer_title": "5,88~\\\\mathrm{mJ}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,588~\\\\mathrm{mJ}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "11,75~\\\\mathrm{mJ}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,047~\\\\mathrm{mJ}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 3,
"question_title": "Deux condensateurs de \\\\( 10~\\\\mathrm{\\\\mu F} \\\\) et \\\\( 5~\\\\mathrm{\\\\mu F} \\\\) sont montés en parallèle. Quelle est la capacité équivalente ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "En parallèle, les capacités s'additionnent : \\\\( C_{\\\\mathrm{eq}} = 10 + 5 = 15~\\\\mathrm{\\\\mu F} \\\\).",
"answers": [
{
"answer_title": "15~\\\\mathrm{\\\\mu F}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "5~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "2~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "10~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 4,
"question_title": "Deux condensateurs de \\\\( 8~\\\\mathrm{\\\\mu F} \\\\) et \\\\( 12~\\\\mathrm{\\\\mu F} \\\\) sont montés en série. Quelle est la capacité équivalente ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "En série : \\\\( \\\\frac{1}{C_{\\\\mathrm{eq}}} = \\\\frac{1}{8} + \\\\frac{1}{12} = \\\\frac{3}{24} + \\\\frac{2}{24} = \\\\frac{5}{24} \\\\). Donc \\\\( C_{\\\\mathrm{eq}} = \\\\frac{24}{5} = 4,8~\\\\mathrm{\\\\mu F} \\\\).",
"answers": [
{
"answer_title": "4,8~\\\\mathrm{\\\\mu F}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "20~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "96~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "10~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 5,
"question_title": "Un condensateur plan a des plaques de surface \\\\( 0,05~\\\\mathrm{m^2} \\\\), écartées de \\\\( 2~\\\\mathrm{mm} \\\\), avec de l'air comme isolant. Quelle est sa capacité ? (\\\\( \\\\varepsilon_0 = 8,85 \\\\times 10^{-12}~\\\\mathrm{F/m} \\\\))",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Formule : \\\\( C = \\\\varepsilon_0 \\\\frac{S}{d} \\\\). \\\\( S = 0,05~\\\\mathrm{m^2} \\\\), \\\\( d = 2 \\\\times 10^{-3}~\\\\mathrm{m} \\\\). \\\\( C = 8,85 \\\\times 10^{-12} \\\\times \\\\frac{0,05}{2 \\\\times 10^{-3}} = 8,85 \\\\times 10^{-12} \\\\times 25 = 2,21 \\\\times 10^{-10}~\\\\mathrm{F} = 2,21~\\\\mathrm{nF} \\\\).",
"answers": [
{
"answer_title": "2,21~\\\\mathrm{nF}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "221~\\\\mathrm{pF}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,221~\\\\mathrm{nF}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "22,1~\\\\mathrm{nF}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 6,
"question_title": "Un condensateur de \\\\( 1~\\\\mathrm{\\\\mu F} \\\\) est chargé à \\\\( 100~\\\\mathrm{V} \\\\). Quelle est la charge stockée ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La charge est \\\\( Q = C \\\\times U = 1 \\\\times 10^{-6} \\\\times 100 = 1 \\\\times 10^{-4}~\\\\mathrm{C} = 100~\\\\mathrm{\\\\mu C} \\\\).",
"answers": [
{
"answer_title": "100~\\\\mathrm{\\\\mu C}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "1~\\\\mathrm{\\\\mu C}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "10~\\\\mathrm{\\\\mu C}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,1~\\\\mathrm{\\\\mu C}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 7,
"question_title": "Quelle est l'unité de la capacité d'un condensateur dans le S.I. ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L'unité S.I. de la capacité est le farad (F).",
"answers": [
{
"answer_title": "Farad (F)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Coulomb (C)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Volt (V)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Joule (J)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 8,
"question_title": "Un condensateur de \\\\( 3~\\\\mathrm{\\\\mu F} \\\\) est soumis à \\\\( 30~\\\\mathrm{V} \\\\). Quelle énergie est stockée ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Formule : \\\\( E = \\\\frac{1}{2} C U^2 \\\\). \\\\( C = 3 \\\\times 10^{-6}~\\\\mathrm{F} \\\\), \\\\( U = 30~\\\\mathrm{V} \\\\). \\\\( E = 0,5 \\\\times 3 \\\\times 10^{-6} \\\\times 900 = 1,35 \\\\times 10^{-3}~\\\\mathrm{J} = 1,35~\\\\mathrm{mJ} \\\\).",
"answers": [
{
"answer_title": "1,35~\\\\mathrm{mJ}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,135~\\\\mathrm{mJ}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "13,5~\\\\mathrm{mJ}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,0135~\\\\mathrm{mJ}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 9,
"question_title": "Trois condensateurs de \\\\( 2~\\\\mathrm{\\\\mu F} \\\\), \\\\( 3~\\\\mathrm{\\\\mu F} \\\\) et \\\\( 6~\\\\mathrm{\\\\mu F} \\\\) sont montés en parallèle. Quelle est la capacité équivalente ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "En parallèle, on additionne : \\\\( 2 + 3 + 6 = 11~\\\\mathrm{\\\\mu F} \\\\).",
"answers": [
{
"answer_title": "11~\\\\mathrm{\\\\mu F}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "1~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "6~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "3~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 10,
"question_title": "Deux condensateurs de \\\\( 12~\\\\mathrm{\\\\mu F} \\\\) et \\\\( 4~\\\\mathrm{\\\\mu F} \\\\) sont montés en série. Quelle est la capacité équivalente ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "En série : \\\\( \\\\frac{1}{C_{\\\\mathrm{eq}}} = \\\\frac{1}{12} + \\\\frac{1}{4} = \\\\frac{1+3}{12} = \\\\frac{4}{12} = \\\\frac{1}{3} \\\\). Donc \\\\( C_{\\\\mathrm{eq}} = 3~\\\\mathrm{\\\\mu F} \\\\).",
"answers": [
{
"answer_title": "3~\\\\mathrm{\\\\mu F}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "16~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "8~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "48~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 11,
"question_title": "Un condensateur de \\\\( 5~\\\\mathrm{\\\\mu F} \\\\) est chargé à \\\\( 20~\\\\mathrm{V} \\\\). Quelle est la charge stockée ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La charge est \\\\( Q = C \\\\times U = 5 \\\\times 10^{-6} \\\\times 20 = 100 \\\\times 10^{-6}~\\\\mathrm{C} = 100~\\\\mathrm{\\\\mu C} \\\\).",
"answers": [
{
"answer_title": "100~\\\\mathrm{\\\\mu C}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "25~\\\\mathrm{\\\\mu C}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "4~\\\\mathrm{\\\\mu C}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,25~\\\\mathrm{\\\\mu C}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 12,
"question_title": "Un condensateur de \\\\( 10~\\\\mathrm{\\\\mu F} \\\\) est soumis à \\\\( 15~\\\\mathrm{V} \\\\). Quelle énergie est stockée ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Formule : \\\\( E = \\\\frac{1}{2} C U^2 \\\\). \\\\( C = 10 \\\\times 10^{-6}~\\\\mathrm{F} \\\\), \\\\( U = 15~\\\\mathrm{V} \\\\). \\\\( E = 0,5 \\\\times 10 \\\\times 10^{-6} \\\\times 225 = 1,125 \\\\times 10^{-3}~\\\\mathrm{J} = 1,125~\\\\mathrm{mJ} \\\\).",
"answers": [
{
"answer_title": "1,125~\\\\mathrm{mJ}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,1125~\\\\mathrm{mJ}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,015~\\\\mathrm{mJ}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "15~\\\\mathrm{mJ}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 13,
"question_title": "Un condensateur plan a \\\\( S = 0,01~\\\\mathrm{m^2} \\\\), \\\\( d = 0,5~\\\\mathrm{mm} \\\\), \\\\( \\\\varepsilon_0 = 8,85 \\\\times 10^{-12}~\\\\mathrm{F/m} \\\\). Quelle est sa capacité ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Formule : \\\\( C = \\\\varepsilon_0 \\\\frac{S}{d} \\\\). \\\\( d = 0,5~\\\\mathrm{mm} = 0,5 \\\\times 10^{-3}~\\\\mathrm{m} \\\\). \\\\( \\\\frac{0,01}{0,5 \\\\times 10^{-3}} = 20 \\\\). \\\\( C = 8,85 \\\\times 10^{-12} \\\\times 20 = 1,77 \\\\times 10^{-10}~\\\\mathrm{F} = 177~\\\\mathrm{pF} \\\\).",
"answers": [
{
"answer_title": "177~\\\\mathrm{pF}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "1,77~\\\\mathrm{nF}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "8,85~\\\\mathrm{pF}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,177~\\\\mathrm{pF}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 14,
"question_title": "Deux condensateurs de \\\\( 2~\\\\mathrm{\\\\mu F} \\\\) et \\\\( 8~\\\\mathrm{\\\\mu F} \\\\) sont montés en série. Quelle est la capacité équivalente ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "En série : \\\\( \\\\frac{1}{C_{\\\\mathrm{eq}}} = \\\\frac{1}{2} + \\\\frac{1}{8} = \\\\frac{4+1}{8} = \\\\frac{5}{8} \\\\). Donc \\\\( C_{\\\\mathrm{eq}} = \\\\frac{8}{5} = 1,6~\\\\mathrm{\\\\mu F} \\\\).",
"answers": [
{
"answer_title": "1,6~\\\\mathrm{\\\\mu F}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "10~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "4~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,25~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 15,
"question_title": "Un condensateur de \\\\( 22~\\\\mathrm{\\\\mu F} \\\\) est soumis à \\\\( 6~\\\\mathrm{V} \\\\). Quelle est la charge stockée ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La charge est \\\\( Q = C \\\\times U = 22 \\\\times 10^{-6} \\\\times 6 = 132 \\\\times 10^{-6}~\\\\mathrm{C} = 132~\\\\mathrm{\\\\mu C} \\\\).",
"answers": [
{
"answer_title": "132~\\\\mathrm{\\\\mu C}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "3,67~\\\\mathrm{\\\\mu C}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "28~\\\\mathrm{\\\\mu C}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,27~\\\\mathrm{\\\\mu C}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 16,
"question_title": "Trois condensateurs de \\\\( 1~\\\\mathrm{\\\\mu F} \\\\), \\\\( 2~\\\\mathrm{\\\\mu F} \\\\) et \\\\( 3~\\\\mathrm{\\\\mu F} \\\\) sont montés en série. Quelle est la capacité équivalente ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "En série : \\\\( \\\\frac{1}{C_{\\\\mathrm{eq}}} = \\\\frac{1}{1} + \\\\frac{1}{2} + \\\\frac{1}{3} = 1 + 0,5 + 0,333 = 1,833 \\\\). Donc \\\\( C_{\\\\mathrm{eq}} = \\\\frac{1}{1,833} \\\\approx 0,545~\\\\mathrm{\\\\mu F} \\\\).",
"answers": [
{
"answer_title": "0,545~\\\\mathrm{\\\\mu F}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "6~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "1~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "2~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 17,
"question_title": "Un condensateur de \\\\( 100~\\\\mathrm{\\\\mu F} \\\\) est chargé à \\\\( 2~\\\\mathrm{V} \\\\). Quelle énergie est stockée ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Formule : \\\\( E = \\\\frac{1}{2} C U^2 \\\\). \\\\( C = 100 \\\\times 10^{-6}~\\\\mathrm{F} \\\\), \\\\( U = 2~\\\\mathrm{V} \\\\). \\\\( E = 0,5 \\\\times 100 \\\\times 10^{-6} \\\\times 4 = 0,2 \\\\times 10^{-3}~\\\\mathrm{J} = 0,2~\\\\mathrm{mJ} \\\\).",
"answers": [
{
"answer_title": "0,2~\\\\mathrm{mJ}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,02~\\\\mathrm{mJ}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "2~\\\\mathrm{mJ}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "20~\\\\mathrm{mJ}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 18,
"question_title": "Un condensateur de \\\\( 470~\\\\mathrm{\\\\mu F} \\\\) est soumis à \\\\( 12~\\\\mathrm{V} \\\\). Quelle est la charge stockée ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La charge est \\\\( Q = C \\\\times U = 470 \\\\times 10^{-6} \\\\times 12 = 5,64 \\\\times 10^{-3}~\\\\mathrm{C} = 5,64~\\\\mathrm{mC} \\\\).",
"answers": [
{
"answer_title": "5,64~\\\\mathrm{mC}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,564~\\\\mathrm{mC}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "47~\\\\mathrm{mC}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "56,4~\\\\mathrm{mC}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 19,
"question_title": "Deux condensateurs de \\\\( 3~\\\\mathrm{\\\\mu F} \\\\) et \\\\( 6~\\\\mathrm{\\\\mu F} \\\\) sont montés en parallèle. Quelle est la capacité équivalente ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "En parallèle, on additionne : \\\\( 3 + 6 = 9~\\\\mathrm{\\\\mu F} \\\\).",
"answers": [
{
"answer_title": "9~\\\\mathrm{\\\\mu F}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "2~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "18~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,5~\\\\mathrm{\\\\mu F}",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 20,
"question_title": "Un condensateur de \\\\( 2,2~\\\\mathrm{\\\\mu F} \\\\) est soumis à \\\\( 100~\\\\mathrm{V} \\\\). Quelle énergie est stockée ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Formule : \\\\( E = \\\\frac{1}{2} C U^2 \\\\). \\\\( C = 2,2 \\\\times 10^{-6}~\\\\mathrm{F} \\\\), \\\\( U = 100~\\\\mathrm{V} \\\\). \\\\( E = 0,5 \\\\times 2,2 \\\\times 10^{-6} \\\\times 10 000 = 1,1 \\\\times 10^{-2}~\\\\mathrm{J} = 0,011~\\\\mathrm{J} \\\\).",
"answers": [
{
"answer_title": "0,011~\\\\mathrm{J}",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,22~\\\\mathrm{J}",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,0011~\\\\mathrm{J}",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,1~\\\\mathrm{J}",
"is_correct": false,
"answer_order": 4
}
]
}
]
}