Quiz — Série Révision Oscillations Électriques Libres (RLC et LC).pdf

Question 1 sur 10 20:00

[{"id":81879,"question":"Dans un circuit LC idéal (sans résistance), quelle est la nature des oscillations ?","option_a":"Amorties","option_b":"Non amorties","option_c":"Forcées","option_d":"Périodiques mais non sinusoïdales","option_e":"","option_f":"","bonne_reponse":"b","explication":"Dans un circuit LC idéal, il n'y a pas de dissipation d'énergie par effet Joule, donc les oscillations sont non amorties et sinusoïdales.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Amorties\", \"b\": \"Non amorties\", \"c\": \"Forcées\", \"d\": \"Périodiqu","_debug_options_count":4},{"id":81880,"question":"L'équation différentielle d'un circuit RLC série est de la forme :","option_a":"d²u\/dt² + (R\/L)du\/dt + (1\/LC)u = 0","option_b":"d²u\/dt² + (1\/LC)u = 0","option_c":"d²u\/dt² + (R\/L)du\/dt = 0","option_d":"d²u\/dt² - (R\/L)du\/dt + (1\/LC)u = 0","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'équation différentielle d'un circuit RLC série est bien d²u\/dt² + (R\/L)du\/dt + (1\/LC)u = 0, où u est la tension aux bornes du condensateur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"d²u\/dt² + (R\/L)du\/dt + (1\/LC)u = 0\", \"b\": \"d²u\/dt² + (1\/LC)u ","_debug_options_count":4},{"id":81881,"question":"La pseudo-période T d'un circuit RLC amorti est toujours supérieure à la période propre T₀ du circuit LC correspondant.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La pseudo-période T d'un circuit RLC amorti est toujours supérieure à la période propre T₀ du circuit LC idéal, car l'amortissement ralentit les oscillations.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":81882,"question":"Quel est l'effet de l'augmentation de la résistance R dans un circuit RLC ?","option_a":"Les oscillations deviennent plus rapides","option_b":"L'amortissement diminue","option_c":"L'amortissement augmente","option_d":"Le circuit devient LC","option_e":"","option_f":"","bonne_reponse":"c","explication":"L'augmentation de la résistance R dans un circuit RLC augmente l'amortissement, ce qui réduit l'amplitude des oscillations plus rapidement.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"Les oscillations deviennent plus rapides\", \"b\": \"L'amortissement ","_debug_options_count":4},{"id":81883,"question":"Pour un circuit RLC série, le facteur de qualité Q est défini par :","option_a":"Q = R√(C\/L)","option_b":"Q = L\/(R√C)","option_c":"Q = 1\/(R)√(L\/C)","option_d":"Q = √(L\/C)\/R","option_e":"","option_f":"","bonne_reponse":"d","explication":"Le facteur de qualité Q d'un circuit RLC série est donné par Q = √(L\/C)\/R. Il caractérise l'amortissement des oscillations.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"d\", \"options\": {\"a\": \"Q = R√(C\/L)\", \"b\": \"Q = L\/(R√C)\", \"c\": \"Q = 1\/(R)√(L\/C)\", \"","_debug_options_count":4},{"id":81884,"question":"Dans un circuit LC, l'énergie totale du système est conservée.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Dans un circuit LC idéal, l'énergie totale (énergie électrique dans le condensateur + énergie magnétique dans la bobine) est conservée, car il n'y a pas de dissipation.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":81885,"question":"Quelle est l'expression de la période propre T₀ d'un circuit LC ?","option_a":"T₀ = 2π√(L\/C)","option_b":"T₀ = 2π√(C\/L)","option_c":"T₀ = √(LC)","option_d":"T₀ = 1\/(2π√(LC))","option_e":"","option_f":"","bonne_reponse":"a","explication":"La période propre T₀ d'un circuit LC est donnée par T₀ = 2π√(L\/C), où L est l'inductance et C la capacité.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"T₀ = 2π√(L\/C)\", \"b\": \"T₀ = 2π√(C\/L)\", \"c\": \"T₀ = √(","_debug_options_count":4},{"id":81886,"question":"Un circuit RLC est en régime critique lorsque :","option_a":"R = √(L\/C)","option_b":"R = 2√(L\/C)","option_c":"R = √(C\/L)","option_d":"R = 0","option_e":"","option_f":"","bonne_reponse":"b","explication":"Un circuit RLC est en régime critique lorsque R = 2√(L\/C), ce qui correspond à un amortissement critique (pas d'oscillations).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"R = √(L\/C)\", \"b\": \"R = 2√(L\/C)\", \"c\": \"R = √(C\/L)\", \"d\": \"R","_debug_options_count":4},{"id":81887,"question":"Dans un circuit RLC série, la tension aux bornes de la résistance est toujours en phase avec l'intensité.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Dans un circuit RLC série, la tension aux bornes de la résistance est toujours en phase avec l'intensité, car u_R = R·i.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":81888,"question":"Quelle grandeur physique est conservée dans un circuit LC idéal ?","option_a":"La charge électrique","option_b":"L'énergie totale","option_c":"La tension aux bornes du condensateur","option_d":"L'intensité du courant","option_e":"","option_f":"","bonne_reponse":"b","explication":"Dans un circuit LC idéal, l'énergie totale (somme de l'énergie électrique et magnétique) est conservée, car il n'y a pas de dissipation d'énergie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"La charge électrique\", \"b\": \"L'énergie totale\", \"c\": \"La tensio","_debug_options_count":4}]