Quiz — 67507e581a068_Série 2- Le dipole RLC libre amorti-Enoncé.pdf

Question 1 sur 10 20:00

[{"id":35330,"question":"Quel est le rôle de la résistance dans un dipôle RLC libre amorti ?","option_a":"Augmenter l'amplitude des oscillations","option_b":"Diminuer l'amplitude des oscillations","option_c":"Rendre les oscillations périodiques","option_d":"Supprimer les oscillations","option_e":"","option_f":"","bonne_reponse":"b","explication":"La résistance dissipe l'énergie par effet Joule, ce qui réduit progressivement l'amplitude des oscillations (amortissement).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Augmenter l'amplitude des oscillations\", \"b\": \"Diminuer l'amplitu","_debug_options_count":4},{"id":35331,"question":"L'équation différentielle d'un dipôle RLC libre amorti est de la forme :","option_a":"d²u\/dt² + (R\/L)du\/dt + (1\/LC)u = 0","option_b":"d²u\/dt² + (L\/R)du\/dt + (1\/RC)u = 0","option_c":"d²u\/dt² + (1\/RC)du\/dt + (R\/L)u = 0","option_d":"d²u\/dt² + (R\/C)du\/dt + (1\/L)u = 0","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'équation différentielle standard pour un dipôle RLC libre amorti est 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 + (L\/R)du\/","_debug_options_count":4},{"id":35332,"question":"La pseudo-période T d'un dipôle RLC libre amorti dépend de :","option_a":"La valeur de R uniquement","option_b":"La valeur de L uniquement","option_c":"La valeur de C uniquement","option_d":"Les valeurs de L et C","option_e":"","option_f":"","bonne_reponse":"d","explication":"La pseudo-période T dépend des valeurs de L (inductance) et C (capacité), car T = 2π√(LC) pour un régime peu amorti.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"d\", \"options\": {\"a\": \"La valeur de R uniquement\", \"b\": \"La valeur de L uniquement\", \"c\"","_debug_options_count":4},{"id":35333,"question":"Dans un dipôle RLC libre amorti, l'énergie totale du circuit :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'énergie totale diminue au fil du temps à cause de la dissipation par effet Joule dans la résistance.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":35334,"question":"Quelle est l'unité de la constante de temps τ d'un dipôle RLC libre amorti ?","option_a":"Seconde (s)","option_b":"Henry (H)","option_c":"Farad (F)","option_d":"Ohm (Ω)","option_e":"","option_f":"","bonne_reponse":"a","explication":"La constante de temps τ = L\/R a pour unité la seconde (s), car L est en Henry (H) et R en Ohm (Ω).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Seconde (s)\", \"b\": \"Henry (H)\", \"c\": \"Farad (F)\", \"d\": \"Ohm (Ω)\"","_debug_options_count":4},{"id":35335,"question":"Pour un dipôle RLC libre amorti, si R = 0 Ω, les oscillations sont :","option_a":"Amorties","option_b":"Périodiques non amorties","option_c":"Critiquement amorties","option_d":"Sur-amorties","option_e":"","option_f":"","bonne_reponse":"b","explication":"","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\": \"Périodiques non amorties\", \"c\": \"Critiquement a","_debug_options_count":4},{"id":35336,"question":"La tension aux bornes du condensateur dans un dipôle RLC libre amorti est maximale lorsque :","option_a":"L'intensité est maximale","option_b":"L'énergie magnétique est maximale","option_c":"L'énergie électrique est maximale","option_d":"La puissance dissipée est maximale","option_e":"","option_f":"","bonne_reponse":"c","explication":"La tension aux bornes du condensateur est maximale lorsque l'énergie électrique stockée dans le condensateur est maximale (u = Q\/C).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"L'intensité est maximale\", \"b\": \"L'énergie magnétique est maxi","_debug_options_count":4},{"id":35337,"question":"Le facteur de qualité Q d'un dipôle RLC libre amorti est défini par :","option_a":"Q = R√(C\/L)","option_b":"Q = L\/(R√C)","option_c":"Q = 1\/(R√(LC))","option_d":"Q = √(L\/C)\/R","option_e":"","option_f":"","bonne_reponse":"d","explication":"Le facteur de qualité Q = √(L\/C)\/R caractérise l'amortissement du circuit. Plus Q est grand, moins l'amortissement est important.","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√(LC))\", \"d","_debug_options_count":4},{"id":35338,"question":"Dans un dipôle RLC libre amorti, l'énergie magnétique stockée dans la bobine est maximale lorsque :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'énergie magnétique stockée dans la bobine (½Li²) est maximale lorsque l'intensité i est maximale, ce qui correspond à une tension nulle 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":35339,"question":"Quelle est la condition pour que le dipôle RLC libre amorti soit en régime critique ?","option_a":"R = 2√(L\/C)","option_b":"R = √(L\/C)","option_c":"R = √(C\/L)","option_d":"R = L\/C","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le régime critique est atteint lorsque R = 2√(L\/C), ce qui correspond à un amortissement maximal sans 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\": \"R = 2√(L\/C)\", \"b\": \"R = √(L\/C)\", \"c\": \"R = √(C\/L)\", \"d\": \"R","_debug_options_count":4}]