Ecrit par ✅ Quiz : Auto Induction
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.
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{
"quiz_title": "Auto Induction",
"quiz_slug": "05_auto_induction_quiz",
"quiz_description": "Quiz Edu509 : Auto Induction",
"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,
"questions_order": "rand",
"hide_question_number_overview": false,
"short_answer_characters_limit": 200
},
"questions": [
{
"question_order": 1,
"question_title": "Quelle est la formule correcte pour calculer la force électromotrice (f.é.m.) auto-induite dans une bobine ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La formule de la f.é.m. auto-induite est \\\\( e = -L \\\\frac{dI}{dt} \\\\), où L est l’inductance et \\\\( \\\\frac{dI}{dt} \\\\) la variation du courant par unité de temps.",
"answers": [
{
"answer_title": "\\\\( e = -L \\\\frac{dI}{dt} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( e = RI \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( e = L \\\\frac{dt}{dI} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( e = \\\\frac{1}{2} LI^2 \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 2,
"question_title": "Une bobine d’inductance \\\\( 0{,}3\\\\ \\\\mathrm{H} \\\\) voit son courant augmenter de \\\\( 0{,}6\\\\ \\\\mathrm{A} \\\\) en \\\\( 0{,}2\\\\ \\\\mathrm{s} \\\\). Quelle est la f.é.m. auto-induite moyenne ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On applique \\\\( e = -L \\\\frac{\\\\Delta I}{\\\\Delta t} = -0{,}3 \\\\times \\\\frac{0{,}6}{0{,}2} = -0{,}3 \\\\times 3 = -0{,}9\\\\ \\\\mathrm{V} \\\\).",
"answers": [
{
"answer_title": "\\\\( -0{,}9\\\\ \\\\mathrm{V} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( 0{,}9\\\\ \\\\mathrm{V} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( -0{,}36\\\\ \\\\mathrm{V} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( 0{,}36\\\\ \\\\mathrm{V} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 3,
"question_title": "L’énergie magnétique stockée dans une bobine de \\\\( 0{,}4\\\\ \\\\mathrm{H} \\\\) parcourue par un courant de \\\\( 2{,}5\\\\ \\\\mathrm{A} \\\\) vaut :",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L’énergie magnétique est \\\\( E_m = \\\\frac{1}{2} L I^2 = 0{,}5 \\\\times 0{,}4 \\\\times (2{,}5)^2 = 0{,}2 \\\\times 6,25 = 1{,}25\\\\ \\\\mathrm{J} \\\\).",
"answers": [
{
"answer_title": "\\\\( 1{,}25\\\\ \\\\mathrm{J} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( 1{,}0\\\\ \\\\mathrm{J} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( 0{,}5\\\\ \\\\mathrm{J} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( 2{,}0\\\\ \\\\mathrm{J} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 4,
"question_title": "Parmi les grandeurs suivantes, lesquelles influencent l’inductance d’un solénoïde ?",
"question_type": "multiple_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L’inductance dépend du nombre de spires, de la section et de la longueur selon \\\\( L = \\\\mu_0 \\\\frac{N^2 S}{l} \\\\). La tension appliquée n’intervient pas.",
"answers": [
{
"answer_title": "Le nombre de spires",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "La section du solénoïde",
"is_correct": true,
"answer_order": 2
},
{
"answer_title": "La longueur du solénoïde",
"is_correct": true,
"answer_order": 3
},
{
"answer_title": "La tension appliquée",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 5,
"question_title": "Une bobine de \\\\( 0{,}2\\\\ \\\\mathrm{H} \\\\) est traversée par un courant qui passe de \\\\( 1{,}0\\\\ \\\\mathrm{A} \\\\) à \\\\( 0 \\\\) en \\\\( 0{,}5\\\\ \\\\mathrm{s} \\\\). Quelle est la f.é.m. auto-induite moyenne ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On utilise \\\\( e = -L \\\\frac{\\\\Delta I}{\\\\Delta t} = -0{,}2 \\\\times \\\\frac{-1,0}{0,5} = -0,2 \\\\times -2 = 0,4\\\\ \\\\mathrm{V} \\\\). Le signe positif indique que la f.é.m. s’oppose à la diminution du courant.",
"answers": [
{
"answer_title": "\\\\( 0{,}4\\\\ \\\\mathrm{V} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( -0{,}4\\\\ \\\\mathrm{V} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( -0{,}2\\\\ \\\\mathrm{V} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( 0{,}2\\\\ \\\\mathrm{V} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 6,
"question_title": "Quelle affirmation est correcte concernant la loi de Lenz ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La loi de Lenz indique que la f.é.m. auto-induite s’oppose toujours à la variation du courant.",
"answers": [
{
"answer_title": "La f.é.m. auto-induite s’oppose à la variation du courant",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "La f.é.m. auto-induite favorise la variation du courant",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "La f.é.m. auto-induite ne dépend pas du sens de variation",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "La loi de Lenz ne s’applique qu’aux résistances",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 7,
"question_title": "L’unité de l’inductance dans le Système International est :",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L’inductance s’exprime en henry (H) dans le Système International.",
"answers": [
{
"answer_title": "Le henry (H)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Le farad (F)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "L’ohm (\\\\( \\\\Omega \\\\))",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Le volt (V)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 8,
"question_title": "Pour une bobine idéale, quelles grandeurs sont négligées ?",
"question_type": "multiple_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Dans une bobine idéale, la résistance et la capacité sont négligées, seule l’inductance est prise en compte.",
"answers": [
{
"answer_title": "La résistance",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "La capacité",
"is_correct": true,
"answer_order": 2
},
{
"answer_title": "L’inductance",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "La f.é.m. auto-induite",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 9,
"question_title": "Un solénoïde a \\\\( N = 1000 \\\\) spires, \\\\( S = 2{,}0 \\\\times 10^{-4}\\\\ \\\\mathrm{m^2} \\\\), \\\\( l = 0{,}5\\\\ \\\\mathrm{m} \\\\). Calculer son inductance (\\\\( \\\\mu_0 = 4\\\\pi \\\\times 10^{-7}\\\\ \\\\mathrm{H/m} \\\\)).",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On applique \\\\( L = \\\\mu_0 \\\\frac{N^2 S}{l} = 4\\\\pi \\\\times 10^{-7} \\\\times \\\\frac{(1000)^2 \\\\times 2,0 \\\\times 10^{-4}}{0,5} = 4\\\\pi \\\\times 10^{-7} \\\\times 2,0 \\\\times 10^{3} = 8\\\\pi \\\\times 10^{-4} \\\\approx 1,6 \\\\times 10^{-3}\\\\ \\\\mathrm{H} \\\\).",
"answers": [
{
"answer_title": "\\\\( 5,0 \\\\times 10^{-4}\\\\ \\\\mathrm{H} \\\\)",
"is_correct": false,
"answer_order": 1
},
{
"answer_title": "\\\\( 1,6 \\\\times 10^{-3}\\\\ \\\\mathrm{H} \\\\)",
"is_correct": true,
"answer_order": 2
},
{
"answer_title": "\\\\( 2,5 \\\\times 10^{-3}\\\\ \\\\mathrm{H} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( 8,0 \\\\times 10^{-4}\\\\ \\\\mathrm{H} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 10,
"question_title": "Si le courant dans une bobine augmente rapidement, que se passe-t-il ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Plus la variation du courant est rapide, plus la f.é.m. auto-induite est grande en valeur absolue.",
"answers": [
{
"answer_title": "La f.é.m. auto-induite augmente en valeur absolue",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "La f.é.m. auto-induite diminue",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "L’inductance diminue",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "La bobine ne réagit pas",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 11,
"question_title": "Une bobine de \\\\( 0{,}1\\\\ \\\\mathrm{H} \\\\) est parcourue par un courant de \\\\( 3,0\\\\ \\\\mathrm{A} \\\\). Quelle est l’énergie magnétique stockée ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On utilise \\\\( E_m = \\\\frac{1}{2} L I^2 = 0,5 \\\\times 0,1 \\\\times 9 = 0,45\\\\ \\\\mathrm{J} \\\\).",
"answers": [
{
"answer_title": "\\\\( 0,45\\\\ \\\\mathrm{J} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( 0,15\\\\ \\\\mathrm{J} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( 0,9\\\\ \\\\mathrm{J} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( 0,3\\\\ \\\\mathrm{J} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 12,
"question_title": "Dans la formule \\\\( e = -L \\\\frac{dI}{dt} \\\\), que représente le signe négatif ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Le signe négatif traduit la loi de Lenz : la f.é.m. s’oppose à la variation du courant.",
"answers": [
{
"answer_title": "L’opposition de la f.é.m. à la variation du courant",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Une erreur de calcul",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "La direction du courant",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "La résistance de la bobine",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 13,
"question_title": "Une bobine de \\\\( 0,5\\\\ \\\\mathrm{H} \\\\) voit son courant passer de \\\\( 2,0\\\\ \\\\mathrm{A} \\\\) à \\\\( 0 \\\\) en \\\\( 0,2\\\\ \\\\mathrm{s} \\\\). Quelle est la f.é.m. auto-induite moyenne ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On applique \\\\( e = -L \\\\frac{\\\\Delta I}{\\\\Delta t} = -0,5 \\\\times \\\\frac{-2,0}{0,2} = -0,5 \\\\times -10 = 5,0\\\\ \\\\mathrm{V} \\\\).",
"answers": [
{
"answer_title": "\\\\( 5,0\\\\ \\\\mathrm{V} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( -5,0\\\\ \\\\mathrm{V} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( 2,5\\\\ \\\\mathrm{V} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( -2,5\\\\ \\\\mathrm{V} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 14,
"question_title": "Quels dispositifs utilisent le phénomène d’auto-induction ?",
"question_type": "multiple_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L’auto-induction intervient dans les transformateurs, générateurs et relais, mais pas dans les ampoules à incandescence.",
"answers": [
{
"answer_title": "Transformateurs",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Générateurs",
"is_correct": true,
"answer_order": 2
},
{
"answer_title": "Relais",
"is_correct": true,
"answer_order": 3
},
{
"answer_title": "Ampoules à incandescence",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 15,
"question_title": "Pour augmenter l’inductance d’un solénoïde, on peut :",
"question_type": "multiple_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L’inductance augmente avec le nombre de spires, la section et diminue avec la longueur.",
"answers": [
{
"answer_title": "Augmenter le nombre de spires",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Augmenter la section",
"is_correct": true,
"answer_order": 2
},
{
"answer_title": "Diminuer la longueur",
"is_correct": true,
"answer_order": 3
},
{
"answer_title": "Diminuer la perméabilité du noyau",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 16,
"question_title": "Une bobine de \\\\( 0,25\\\\ \\\\mathrm{H} \\\\) est traversée par un courant de \\\\( 4,0\\\\ \\\\mathrm{A} \\\\). Quelle énergie magnétique est stockée ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On utilise \\\\( E_m = \\\\frac{1}{2} L I^2 = 0,5 \\\\times 0,25 \\\\times 16 = 2,0\\\\ \\\\mathrm{J} \\\\).",
"answers": [
{
"answer_title": "\\\\( 2,0\\\\ \\\\mathrm{J} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( 1,0\\\\ \\\\mathrm{J} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( 0,5\\\\ \\\\mathrm{J} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( 4,0\\\\ \\\\mathrm{J} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 17,
"question_title": "Si on double le nombre de spires d’un solénoïde, l’inductance :",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L’inductance est proportionnelle au carré du nombre de spires : si N double, L est multipliée par 4.",
"answers": [
{
"answer_title": "Est multipliée par 4",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Est multipliée par 2",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Est divisée par 2",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Ne change pas",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 18,
"question_title": "Quelle est la bonne expression pour l’énergie magnétique stockée dans une bobine ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L’énergie magnétique stockée dans une bobine est \\\\( E_m = \\\\frac{1}{2} L I^2 \\\\).",
"answers": [
{
"answer_title": "\\\\( E_m = \\\\frac{1}{2} L I^2 \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( E_m = LI \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( E_m = RI^2 \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( E_m = \\\\frac{1}{2} RI^2 \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 19,
"question_title": "Dans un circuit RL, l’auto-induction intervient lors :",
"question_type": "multiple_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L’auto-induction intervient lors des variations du courant, donc à la fermeture ou à l’ouverture du circuit.",
"answers": [
{
"answer_title": "De la fermeture du circuit",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "De l’ouverture du circuit",
"is_correct": true,
"answer_order": 2
},
{
"answer_title": "D’un courant constant",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "D’une tension nulle",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 20,
"question_title": "Un solénoïde de \\\\( 0,3\\\\ \\\\mathrm{m} \\\\), \\\\( 600 \\\\) spires, section \\\\( 1,0 \\\\times 10^{-4}\\\\ \\\\mathrm{m^2} \\\\), \\\\( \\\\mu_0 = 4\\\\pi \\\\times 10^{-7}\\\\ \\\\mathrm{H/m} \\\\). Quelle est son inductance ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On applique \\\\( L = \\\\mu_0 \\\\frac{N^2 S}{l} = 4\\\\pi \\\\times 10^{-7} \\\\times \\\\frac{600^2 \\\\times 1,0 \\\\times 10^{-4}}{0,3} = 4\\\\pi \\\\times 10^{-7} \\\\times 1,2 \\\\times 10^{2} = 1,5 \\\\times 10^{-3}\\\\ \\\\mathrm{H} \\\\).",
"answers": [
{
"answer_title": "\\\\( 1,5 \\\\times 10^{-4}\\\\ \\\\mathrm{H} \\\\)",
"is_correct": false,
"answer_order": 1
},
{
"answer_title": "\\\\( 1,5 \\\\times 10^{-3}\\\\ \\\\mathrm{H} \\\\)",
"is_correct": true,
"answer_order": 2
},
{
"answer_title": "\\\\( 1,5 \\\\times 10^{-2}\\\\ \\\\mathrm{H} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( 3,0 \\\\times 10^{-3}\\\\ \\\\mathrm{H} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
}
]
}