Ecrit par ✅ Quiz : Induction Electromagnetique
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": "Induction Electromagnetique",
"quiz_slug": "04_induction_electromagnetique_quiz",
"quiz_description": "Quiz Edu509 : Induction Electromagnetique",
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"questions": [
{
"question_order": 1,
"question_title": "Quelle est la formule correcte pour calculer le flux magnétique \\\\( \\\\Phi \\\\) à travers une surface plane de surface \\\\( S \\\\), soumise à un champ magnétique uniforme \\\\( B \\\\) faisant un angle \\\\( \\\\theta \\\\) avec la normale à la surface ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
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"question_description": "",
"question_explanation": "La formule générale du flux magnétique est \\\\( \\\\Phi = B \\\\cdot S \\\\cdot \\\\cos(\\\\theta) \\\\), où \\\\( \\\\theta \\\\) est l’angle entre la normale à la surface et la direction du champ magnétique.",
"answers": [
{
"answer_title": "\\\\( \\\\Phi = B \\\\cdot S \\\\cdot \\\\cos(\\\\theta) \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( \\\\Phi = B \\\\cdot S \\\\cdot \\\\sin(\\\\theta) \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( \\\\Phi = B \\\\cdot S \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( \\\\Phi = B / S \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 2,
"question_title": "Une bobine de 1 spire (\\\\( N = 1 \\\\)), d’aire \\\\( S = 0{,}02 \\\\mathrm{m^2} \\\\), est placée dans un champ magnétique qui passe de 0 à \\\\( 0{,}5 \\\\mathrm{T} \\\\) en 2 s, avec \\\\( \\\\theta = 0^\\\\circ \\\\). Quelle est la f.é.m. moyenne induite ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Le flux initial est 0, le flux final est \\\\( 0{,}5 \\\\times 0{,}02 = 0{,}01 \\\\mathrm{Wb} \\\\). La variation de flux est 0,01 Wb. La f.é.m. moyenne est \\\\( \\\\mathcal{E} = -\\\\frac{0,01}{2} = -0,005 \\\\mathrm{V} \\\\). La valeur absolue est 0,005 V.",
"answers": [
{
"answer_title": "0,005 V",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,01 V",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,1 V",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,0005 V",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 3,
"question_title": "Dans la loi de Faraday-Lenz, que signifie le signe négatif dans la formule \\\\( \\\\mathcal{E} = -N \\\\frac{d\\\\Phi}{dt} \\\\) ?",
"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 : le courant induit s’oppose à la cause qui lui a donné naissance, c’est-à-dire à la variation du flux magnétique.",
"answers": [
{
"answer_title": "Il indique que le courant induit s’oppose à la variation du flux magnétique (loi de Lenz).",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Il indique que la f.é.m. est toujours négative.",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Il indique que le champ magnétique est négatif.",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Il n’a aucune signification physique.",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 4,
"question_title": "Un solénoïde de 200 spires (\\\\( N = 200 \\\\)), d’aire \\\\( S = 1{,}5 \\\\times 10^{-3} \\\\mathrm{m^2} \\\\), subit une variation de champ de \\\\( 0,2 \\\\mathrm{T} \\\\) à \\\\( -0,2 \\\\mathrm{T} \\\\) en 0,5 s. Quelle est la f.é.m. moyenne induite ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La variation de flux est \\\\( \\\\Delta\\\\Phi = -3,0 \\\\times 10^{-4} - 3,0 \\\\times 10^{-4} = -6,0 \\\\times 10^{-4} \\\\mathrm{Wb} \\\\). La f.é.m. est \\\\( -200 \\\\times \\\\frac{-6,0 \\\\times 10^{-4}}{0,5} = 0,24 \\\\mathrm{V} \\\\).",
"answers": [
{
"answer_title": "0,24 V",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,12 V",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,048 V",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,6 V",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 5,
"question_title": "Quel est le rôle du nombre de spires \\\\( N \\\\) dans la formule de la f.é.m. induite \\\\( \\\\mathcal{E} = -N \\\\frac{d\\\\Phi}{dt} \\\\) ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Le nombre de spires multiplie la variation de flux, donc plus il y a de spires, plus la f.é.m. totale est grande.",
"answers": [
{
"answer_title": "Il multiplie la variation de flux, augmentant la f.é.m. totale.",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Il divise la variation de flux, diminuant la f.é.m.",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Il n’a aucun effet sur la f.é.m.",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Il ne s’applique que si le champ est variable.",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 6,
"question_title": "Une bobine de 50 spires (\\\\( N = 50 \\\\)), d’aire \\\\( S = 5,0 \\\\times 10^{-4} \\\\mathrm{m^2} \\\\), est soumise à un champ variable \\\\( B(t) = 0,1 t^2 \\\\) (\\\\( t \\\\) en s, \\\\( B \\\\) en T). Quelle est la f.é.m. induite à \\\\( t = 3,0 \\\\mathrm{s} \\\\) ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La dérivée du flux est \\\\( 1,0 \\\\times 10^{-4} t \\\\). À \\\\( t = 3,0 \\\\), \\\\( \\\\frac{d\\\\Phi}{dt} = 3,0 \\\\times 10^{-4} \\\\). La f.é.m. est \\\\( -50 \\\\times 3,0 \\\\times 10^{-4} = -0,015 \\\\mathrm{V} \\\\).",
"answers": [
{
"answer_title": "-0,015 V",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,015 V",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "-0,0015 V",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,0015 V",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 7,
"question_title": "Quelle est l’unité du flux magnétique \\\\( \\\\Phi \\\\) ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Le flux magnétique s’exprime en weber (\\\\( \\\\mathrm{Wb} \\\\)).",
"answers": [
{
"answer_title": "Weber (\\\\( \\\\mathrm{Wb} \\\\))",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Tesla (\\\\( \\\\mathrm{T} \\\\))",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Volt (\\\\( \\\\mathrm{V} \\\\))",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Ampère (\\\\( \\\\mathrm{A} \\\\))",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 8,
"question_title": "Une bobine de 20 spires (\\\\( N = 20 \\\\)), d’aire \\\\( S = 4,0 \\\\times 10^{-4} \\\\mathrm{m^2} \\\\), est retirée d’un champ \\\\( B = 0,3 \\\\mathrm{T} \\\\) en 0,10 s. Quelle est la f.é.m. moyenne induite ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La variation de flux est \\\\( -1,2 \\\\times 10^{-4} \\\\mathrm{Wb} \\\\). La f.é.m. est \\\\( -20 \\\\times \\\\frac{-1,2 \\\\times 10^{-4}}{0,10} = 0,024 \\\\mathrm{V} \\\\).",
"answers": [
{
"answer_title": "0,024 V",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,12 V",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,0024 V",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,048 V",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 9,
"question_title": "Dans quel cas la f.é.m. induite dans une bobine est-elle nulle ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La f.é.m. induite dépend de la variation du flux magnétique. Si le flux ne varie pas, la f.é.m. est nulle.",
"answers": [
{
"answer_title": "Si le flux magnétique à travers la bobine ne varie pas dans le temps.",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Si le champ magnétique est très intense.",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Si la bobine a beaucoup de spires.",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Si l’aire de la bobine est grande.",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 10,
"question_title": "Un alternateur simple comporte 100 spires (\\\\( N = 100 \\\\)), d’aire \\\\( S = 2,0 \\\\times 10^{-3} \\\\mathrm{m^2} \\\\), tournant dans un champ \\\\( B = 0,4 \\\\mathrm{T} \\\\). L’angle passe de \\\\( 0^\\\\circ \\\\) à \\\\( 90^\\\\circ \\\\) en 0,05 s. Quelle est la f.é.m. moyenne induite ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Le flux initial est \\\\( 8,0 \\\\times 10^{-4} \\\\mathrm{Wb} \\\\), le flux final est 0. La variation de flux est \\\\( -8,0 \\\\times 10^{-4} \\\\mathrm{Wb} \\\\). La f.é.m. est \\\\( -100 \\\\times \\\\frac{-8,0 \\\\times 10^{-4}}{0,05} = 1,6 \\\\mathrm{V} \\\\).",
"answers": [
{
"answer_title": "1,6 V",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,8 V",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,16 V",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,32 V",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 11,
"question_title": "Si l’angle entre le champ magnétique et la normale à la surface est \\\\( 90^\\\\circ \\\\), quel est le flux magnétique à travers la surface ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Pour \\\\( \\\\theta = 90^\\\\circ \\\\), \\\\( \\\\cos(90^\\\\circ) = 0 \\\\), donc le flux magnétique est nul.",
"answers": [
{
"answer_title": "Nul",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Maximal",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Égal à \\\\( B \\\\cdot S \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Égal à \\\\( B / S \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 12,
"question_title": "Une bobine de 10 spires (\\\\( N = 10 \\\\)), d’aire \\\\( S = 0,01 \\\\mathrm{m^2} \\\\), est soumise à un champ qui passe de \\\\( 0,2 \\\\mathrm{T} \\\\) à 0 en 0,2 s. Quelle est la f.é.m. moyenne induite ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Variation de flux : \\\\( 0 - 0,2 \\\\times 0,01 = -0,002 \\\\mathrm{Wb} \\\\). \\\\( \\\\mathcal{E} = -10 \\\\times \\\\frac{-0,002}{0,2} = 0,1 \\\\mathrm{V} \\\\).",
"answers": [
{
"answer_title": "0,1 V",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,01 V",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,02 V",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,2 V",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 13,
"question_title": "Dans un transformateur idéal, si le nombre de spires du secondaire est le double de celui du primaire, la tension secondaire est :",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La tension est proportionnelle au nombre de spires : \\\\( V_s / V_p = N_s / N_p \\\\). Si \\\\( N_s = 2 N_p \\\\), alors \\\\( V_s = 2 V_p \\\\).",
"answers": [
{
"answer_title": "Le double de la tension primaire.",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "La moitié de la tension primaire.",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Égale à la tension primaire.",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Nulle.",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 14,
"question_title": "Quelle grandeur physique s’oppose à la variation du flux magnétique selon 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": "Selon la loi de Lenz, le courant induit s’oppose à la variation du flux magnétique qui l’a engendré.",
"answers": [
{
"answer_title": "Le courant induit.",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Le champ magnétique initial.",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "La tension appliquée.",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "La résistance du fil.",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 15,
"question_title": "Une bobine de 5 spires (\\\\( N = 5 \\\\)), d’aire \\\\( S = 0,02 \\\\mathrm{m^2} \\\\), est soumise à un champ qui passe de \\\\( 0,1 \\\\mathrm{T} \\\\) à \\\\( 0,3 \\\\mathrm{T} \\\\) en 1 s. Quelle est la f.é.m. moyenne induite ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Variation de flux : \\\\( (0,3 - 0,1) \\\\times 0,02 = 0,004 \\\\mathrm{Wb} \\\\). \\\\( \\\\mathcal{E} = -5 \\\\times \\\\frac{0,004}{1} = -0,02 \\\\mathrm{V} \\\\). La valeur absolue est 0,02 V.",
"answers": [
{
"answer_title": "0,02 V",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,002 V",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,2 V",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,04 V",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 16,
"question_title": "Si le champ magnétique à travers une bobine augmente, le courant induit :",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Le courant induit s’oppose toujours à la variation du flux magnétique, donc il s’oppose à l’augmentation du champ.",
"answers": [
{
"answer_title": "S’oppose à l’augmentation du champ (loi de Lenz).",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Renforce l’augmentation du champ.",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Est nul.",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Est indépendant du champ.",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 17,
"question_title": "Une bobine de 25 spires (\\\\( N = 25 \\\\)), d’aire \\\\( S = 0,005 \\\\mathrm{m^2} \\\\), est soumise à un champ qui passe de \\\\( 0,4 \\\\mathrm{T} \\\\) à 0 en 0,5 s. Quelle est la f.é.m. moyenne induite ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Variation de flux : \\\\( 0 - 0,4 \\\\times 0,005 = -0,002 \\\\mathrm{Wb} \\\\). \\\\( \\\\mathcal{E} = -25 \\\\times \\\\frac{-0,002}{0,5} = 0,1 \\\\mathrm{V} \\\\).",
"answers": [
{
"answer_title": "0,1 V",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,05 V",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,2 V",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,01 V",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 18,
"question_title": "Dans un générateur électrique, le courant induit apparaît lorsque :",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Le courant induit n’apparaît que si le flux magnétique varie dans le temps.",
"answers": [
{
"answer_title": "Le flux magnétique à travers la bobine varie dans le temps.",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "La bobine est immobile dans un champ constant.",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Le champ magnétique est nul.",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "La résistance est très faible.",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 19,
"question_title": "Une bobine de 2 spires (\\\\( N = 2 \\\\)), d’aire \\\\( S = 0,03 \\\\mathrm{m^2} \\\\), est soumise à un champ qui passe de \\\\( 0,5 \\\\mathrm{T} \\\\) à \\\\( 0,2 \\\\mathrm{T} \\\\) en 0,6 s. Quelle est la f.é.m. moyenne induite ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Variation de flux : \\\\( (0,2 - 0,5) \\\\times 0,03 = -0,009 \\\\mathrm{Wb} \\\\). \\\\( \\\\mathcal{E} = -2 \\\\times \\\\frac{-0,009}{0,6} = 0,03 \\\\mathrm{V} \\\\).",
"answers": [
{
"answer_title": "0,03 V",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,003 V",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,06 V",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,009 V",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 20,
"question_title": "Pour maximiser la f.é.m. induite dans une bobine, il faut :",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La f.é.m. induite est d’autant plus grande que la variation du flux magnétique est rapide.",
"answers": [
{
"answer_title": "Augmenter la rapidité de la variation du flux magnétique.",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Réduire le nombre de spires.",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Réduire l’aire de la bobine.",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Diminuer le champ magnétique.",
"is_correct": false,
"answer_order": 4
}
]
}
]
}