Ecrit par ✅ Quiz : Dipoles Rc Et Rl
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": "Dipoles Rc Et Rl",
"quiz_slug": "11_dipoles_rc_et_rl_quiz",
"quiz_description": "Quiz Edu509 : Dipoles Rc Et Rl",
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"time_value": 0,
"time_type": "minutes"
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"questions": [
{
"question_order": 1,
"question_title": "Dans un circuit RC série, quelle est l’expression correcte de la constante de temps \\\\( \\\\tau_{RC} \\\\) ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La constante de temps d’un circuit RC est donnée par \\\\( \\\\tau_{RC} = R \\\\cdot C \\\\), où R est la résistance en ohms et C la capacité en farads.",
"answers": [
{
"answer_title": "\\\\( \\\\tau_{RC} = R \\\\cdot C \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( \\\\tau_{RC} = \\\\frac{R}{C} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( \\\\tau_{RC} = \\\\frac{C}{R} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( \\\\tau_{RC} = R + C \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 2,
"question_title": "Dans un circuit RL série, comment calcule-t-on la constante de temps \\\\( \\\\tau_{RL} \\\\) ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La constante de temps d’un circuit RL est \\\\( \\\\tau_{RL} = \\\\frac{L}{R} \\\\), avec L en henrys et R en ohms.",
"answers": [
{
"answer_title": "\\\\( \\\\tau_{RL} = \\\\frac{L}{R} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( \\\\tau_{RL} = L \\\\cdot R \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( \\\\tau_{RL} = \\\\frac{R}{L} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( \\\\tau_{RL} = L + R \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 3,
"question_title": "Un condensateur de \\\\( 4{,}7\\\\ \\\\mu F \\\\) est branché en série avec une résistance de \\\\( 1{,}0\\\\ \\\\mathrm{k\\\\Omega} \\\\). Quelle est la constante de temps du circuit RC ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La constante de temps est \\\\( \\\\tau_{RC} = R \\\\cdot C = 1000 \\\\times 4,7 \\\\times 10^{-6} = 0,0047\\\\ \\\\mathrm{s} \\\\).",
"answers": [
{
"answer_title": "0,0047 s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,047 s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,47 s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,00047 s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 4,
"question_title": "Dans un circuit RC, quelle est la charge finale \\\\( Q_f \\\\) sur le condensateur si \\\\( C = 2,0\\\\ \\\\mu F \\\\) et \\\\( E = 9,0\\\\ \\\\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 finale est \\\\( Q_f = C \\\\cdot E = 2,0 \\\\times 10^{-6} \\\\times 9,0 = 1,8 \\\\times 10^{-5}\\\\ \\\\mathrm{C} \\\\).",
"answers": [
{
"answer_title": "1,8 \\\\( \\\\times 10^{-5} \\\\) C",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "1,8 \\\\( \\\\times 10^{-6} \\\\) C",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "1,8 \\\\( \\\\times 10^{-4} \\\\) C",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,8 \\\\( \\\\times 10^{-3} \\\\) C",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 5,
"question_title": "Dans un circuit RL, si \\\\( R = 20\\\\ \\\\Omega \\\\) et \\\\( L = 0,40\\\\ \\\\mathrm{H} \\\\), quelle est la constante de temps \\\\( \\\\tau_{RL} \\\\) ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La constante de temps est \\\\( \\\\tau_{RL} = \\\\frac{L}{R} = \\\\frac{0,40}{20} = 0,020\\\\ \\\\mathrm{s} \\\\).",
"answers": [
{
"answer_title": "0,020 s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,020 H",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,020 \\\\Omega",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,020 s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 6,
"question_title": "Pour un circuit RC, quelle est l’expression du courant lors de la charge du condensateur ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Le courant lors de la charge est \\\\( i(t) = \\\\frac{E}{R} e^{-t/\\\\tau_{RC}} \\\\).",
"answers": [
{
"answer_title": "\\\\( i(t) = \\\\frac{E}{R} e^{-t/\\\\tau_{RC}} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( i(t) = \\\\frac{E}{R} (1 - e^{-t/\\\\tau_{RC}}) \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( i(t) = E \\\\cdot e^{-t/\\\\tau_{RC}} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( i(t) = R \\\\cdot C \\\\cdot e^{-t/\\\\tau_{RC}} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 7,
"question_title": "Dans un circuit RL, si \\\\( E = 12\\\\ \\\\mathrm{V} \\\\) et \\\\( R = 6,0\\\\ \\\\Omega \\\\), quel est le courant final \\\\( I_f \\\\) ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Le courant final est \\\\( I_f = \\\\frac{E}{R} = \\\\frac{12}{6,0} = 2,0\\\\ \\\\mathrm{A} \\\\).",
"answers": [
{
"answer_title": "2,0 A",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,50 A",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "72 A",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,20 A",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 8,
"question_title": "Un condensateur de \\\\( 5,0\\\\ \\\\mu F \\\\) est chargé sous \\\\( 10\\\\ \\\\mathrm{V} \\\\). Quelle est la charge maximale qu’il peut accumuler ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La charge maximale est \\\\( Q_f = C \\\\cdot E = 5,0 \\\\times 10^{-6} \\\\times 10 = 5,0 \\\\times 10^{-5}\\\\ \\\\mathrm{C} \\\\).",
"answers": [
{
"answer_title": "5,0 \\\\( \\\\times 10^{-5} \\\\) C",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "5,0 \\\\( \\\\times 10^{-6} \\\\) C",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "5,0 \\\\( \\\\times 10^{-4} \\\\) C",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "5,0 \\\\( \\\\times 10^{-5} \\\\) C",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 9,
"question_title": "Dans un circuit RC, si \\\\( R = 3,0\\\\ \\\\mathrm{k\\\\Omega} \\\\) et \\\\( C = 2,0\\\\ \\\\mu F \\\\), quelle est la constante de temps ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La constante de temps est \\\\( \\\\tau_{RC} = 3000 \\\\times 2,0 \\\\times 10^{-6} = 0,006\\\\ \\\\mathrm{s} \\\\).",
"answers": [
{
"answer_title": "0,006 s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,006 ms",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,60 s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,60 ms",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 10,
"question_title": "Dans un circuit RL, si \\\\( L = 0,10\\\\ \\\\mathrm{H} \\\\) et \\\\( R = 5,0\\\\ \\\\Omega \\\\), quelle est la constante de temps ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La constante de temps est \\\\( \\\\tau_{RL} = \\\\frac{0,10}{5,0} = 0,020\\\\ \\\\mathrm{s} \\\\).",
"answers": [
{
"answer_title": "0,020 s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,50 s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,005 s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,002 s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 11,
"question_title": "Dans un circuit RC, si \\\\( R = 1,0\\\\ \\\\mathrm{k\\\\Omega} \\\\), \\\\( C = 10\\\\ \\\\mu F \\\\), \\\\( E = 6,0\\\\ \\\\mathrm{V} \\\\), quelle est la charge du condensateur après une constante de temps ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Constante de temps : \\\\( \\\\tau_{RC} = 1000 \\\\times 10 \\\\times 10^{-6} = 0,010\\\\ \\\\mathrm{s} \\\\). Charge finale : \\\\( Q_f = 10 \\\\times 10^{-6} \\\\times 6,0 = 6,0 \\\\times 10^{-5}\\\\ \\\\mathrm{C} \\\\). Après une constante de temps, \\\\( q(\\\\tau_{RC}) = Q_f (1 - e^{-1}) = 6,0 \\\\times 10^{-5} \\\\times 0,632 = 3,79 \\\\times 10^{-5}\\\\ \\\\mathrm{C} \\\\).",
"answers": [
{
"answer_title": "3,79 \\\\( \\\\times 10^{-4} \\\\) C",
"is_correct": false,
"answer_order": 1
},
{
"answer_title": "3,79 \\\\( \\\\times 10^{-5} \\\\) C",
"is_correct": true,
"answer_order": 2
},
{
"answer_title": "3,79 \\\\( \\\\times 10^{-3} \\\\) C",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "3,79 \\\\( \\\\times 10^{-5} \\\\) C",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 12,
"question_title": "Dans un circuit RL, si \\\\( L = 0,20\\\\ \\\\mathrm{H} \\\\), \\\\( R = 4,0\\\\ \\\\Omega \\\\), \\\\( E = 8,0\\\\ \\\\mathrm{V} \\\\), quelle est l’intensité du courant après \\\\( t = 0,10\\\\ \\\\mathrm{s} \\\\) ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Constante de temps : \\\\( \\\\tau_{RL} = 0,20/4,0 = 0,050\\\\ \\\\mathrm{s} \\\\). Courant final : \\\\( I_f = 8,0/4,0 = 2,0\\\\ \\\\mathrm{A} \\\\). \\\\( t/\\\\tau_{RL} = 0,10/0,050 = 2 \\\\). \\\\( e^{-2} \\\\approx 0,135 \\\\). \\\\( i(0,10) = 2,0 \\\\times (1 - 0,135) = 2,0 \\\\times 0,865 = 1,73\\\\ \\\\mathrm{A} \\\\).",
"answers": [
{
"answer_title": "1,73 A",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "2,00 A",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "1,00 A",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,80 A",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 13,
"question_title": "Dans un circuit RC, la charge initiale du condensateur est \\\\( 2,0 \\\\times 10^{-5} \\\\) C. Si \\\\( \\\\tau_{RC} = 0,010\\\\ \\\\mathrm{s} \\\\) et \\\\( t = 0,020\\\\ \\\\mathrm{s} \\\\), quelle est la charge restante lors de la décharge ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Pour la décharge : \\\\( q(t) = Q_0 e^{-t/\\\\tau_{RC}} = 2,0 \\\\times 10^{-5} \\\\times e^{-2} = 2,0 \\\\times 10^{-5} \\\\times 0,135 = 2,70 \\\\times 10^{-6}\\\\ \\\\mathrm{C} \\\\).",
"answers": [
{
"answer_title": "5,41 \\\\( \\\\times 10^{-6} \\\\) C",
"is_correct": false,
"answer_order": 1
},
{
"answer_title": "1,47 \\\\( \\\\times 10^{-5} \\\\) C",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "1,84 \\\\( \\\\times 10^{-5} \\\\) C",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "2,70 \\\\( \\\\times 10^{-6} \\\\) C",
"is_correct": true,
"answer_order": 4
}
]
},
{
"question_order": 14,
"question_title": "Dans un circuit RL, la tension aux bornes de la bobine est donnée par :",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La tension aux bornes de la bobine lors de l’établissement du courant est \\\\( u_L(t) = E \\\\cdot e^{-t/\\\\tau_{RL}} \\\\).",
"answers": [
{
"answer_title": "\\\\( u_L(t) = E \\\\cdot e^{-t/\\\\tau_{RL}} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( u_L(t) = E (1 - e^{-t/\\\\tau_{RL}}) \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( u_L(t) = R \\\\cdot I_f \\\\cdot e^{-t/\\\\tau_{RL}} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( u_L(t) = L \\\\cdot e^{-t/\\\\tau_{RL}} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 15,
"question_title": "Dans un circuit RC, si \\\\( R = 2,2\\\\ \\\\mathrm{k\\\\Omega} \\\\) et \\\\( C = 4,7\\\\ \\\\mu F \\\\), quelle est la constante de temps ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Constante de temps : \\\\( \\\\tau_{RC} = 2200 \\\\times 4,7 \\\\times 10^{-6} = 0,010\\\\ \\\\mathrm{s} \\\\).",
"answers": [
{
"answer_title": "0,010 s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,022 s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,047 s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,001 s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 16,
"question_title": "Dans un circuit RL, si \\\\( L = 0,30\\\\ \\\\mathrm{H} \\\\) et \\\\( R = 15\\\\ \\\\Omega \\\\), quelle est la constante de temps ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Constante de temps : \\\\( \\\\tau_{RL} = 0,30/15 = 0,020\\\\ \\\\mathrm{s} \\\\).",
"answers": [
{
"answer_title": "0,020 s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,045 s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,005 s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,030 s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 17,
"question_title": "Dans un circuit RC, si \\\\( R = 5,0\\\\ \\\\mathrm{k\\\\Omega} \\\\), \\\\( C = 1,0\\\\ \\\\mu F \\\\), \\\\( E = 10\\\\ \\\\mathrm{V} \\\\), quelle est la charge du condensateur après \\\\( t = 0,005\\\\ \\\\mathrm{s} \\\\) ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Constante de temps : \\\\( \\\\tau_{RC} = 5000 \\\\times 1,0 \\\\times 10^{-6} = 0,005\\\\ \\\\mathrm{s} \\\\). Charge finale : \\\\( Q_f = 1,0 \\\\times 10^{-6} \\\\times 10 = 1,0 \\\\times 10^{-5}\\\\ \\\\mathrm{C} \\\\). \\\\( t/\\\\tau_{RC} = 1 \\\\), \\\\( e^{-1} = 0,368 \\\\), \\\\( 1 - 0,368 = 0,632 \\\\), \\\\( q(0,005) = 1,0 \\\\times 10^{-5} \\\\times 0,632 = 6,32 \\\\times 10^{-6}\\\\ \\\\mathrm{C} \\\\).",
"answers": [
{
"answer_title": "3,93 \\\\( \\\\times 10^{-5} \\\\) C",
"is_correct": false,
"answer_order": 1
},
{
"answer_title": "5,00 \\\\( \\\\times 10^{-5} \\\\) C",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "1,00 \\\\( \\\\times 10^{-5} \\\\) C",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "6,32 \\\\( \\\\times 10^{-6} \\\\) C",
"is_correct": true,
"answer_order": 4
}
]
},
{
"question_order": 18,
"question_title": "Dans un circuit RL, si \\\\( E = 10\\\\ \\\\mathrm{V} \\\\), \\\\( R = 2,0\\\\ \\\\Omega \\\\), \\\\( L = 0,10\\\\ \\\\mathrm{H} \\\\), quelle est l’intensité du courant après \\\\( t = 0,10\\\\ \\\\mathrm{s} \\\\) ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Constante de temps : \\\\( \\\\tau_{RL} = 0,10/2,0 = 0,050\\\\ \\\\mathrm{s} \\\\). Courant final : \\\\( I_f = 10/2,0 = 5,0\\\\ \\\\mathrm{A} \\\\). \\\\( t/\\\\tau_{RL} = 2 \\\\), \\\\( e^{-2} = 0,135 \\\\), \\\\( 1 - 0,135 = 0,865 \\\\), \\\\( i(0,10) = 5,0 \\\\times 0,865 = 4,32\\\\ \\\\mathrm{A} \\\\).",
"answers": [
{
"answer_title": "4,32 A",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "5,00 A",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "3,68 A",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "2,00 A",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 19,
"question_title": "Dans un circuit RC, si \\\\( R = 1,0\\\\ \\\\mathrm{k\\\\Omega} \\\\), \\\\( C = 2,2\\\\ \\\\mu F \\\\), \\\\( E = 12\\\\ \\\\mathrm{V} \\\\), quelle est la charge du condensateur après \\\\( t = 0,0022\\\\ \\\\mathrm{s} \\\\) ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Constante de temps : \\\\( \\\\tau_{RC} = 1000 \\\\times 2,2 \\\\times 10^{-6} = 0,0022\\\\ \\\\mathrm{s} \\\\). Charge finale : \\\\( Q_f = 2,2 \\\\times 10^{-6} \\\\times 12 = 2,64 \\\\times 10^{-5}\\\\ \\\\mathrm{C} \\\\). \\\\( t/\\\\tau_{RC} = 1 \\\\), \\\\( e^{-1} = 0,368 \\\\), \\\\( 1 - 0,368 = 0,632 \\\\), \\\\( q(0,0022) = 2,64 \\\\times 10^{-5} \\\\times 0,632 = 1,66 \\\\times 10^{-5}\\\\ \\\\mathrm{C} \\\\).",
"answers": [
{
"answer_title": "1,66 \\\\( \\\\times 10^{-5} \\\\) C",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "2,64 \\\\( \\\\times 10^{-5} \\\\) C",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "2,00 \\\\( \\\\times 10^{-5} \\\\) C",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,00 \\\\( \\\\times 10^{-5} \\\\) C",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 20,
"question_title": "Dans un circuit RL, si \\\\( L = 0,50\\\\ \\\\mathrm{H} \\\\), \\\\( R = 25\\\\ \\\\Omega \\\\), \\\\( E = 10\\\\ \\\\mathrm{V} \\\\), quelle est l’intensité du courant après \\\\( t = 0,040\\\\ \\\\mathrm{s} \\\\) ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Constante de temps : \\\\( \\\\tau_{RL} = 0,50/25 = 0,020\\\\ \\\\mathrm{s} \\\\). Courant final : \\\\( I_f = 10/25 = 0,400\\\\ \\\\mathrm{A} \\\\). \\\\( t/\\\\tau_{RL} = 2 \\\\), \\\\( e^{-2} = 0,135 \\\\), \\\\( 1 - 0,135 = 0,865 \\\\), \\\\( i(0,040) = 0,400 \\\\times 0,865 = 0,346\\\\ \\\\mathrm{A} \\\\).",
"answers": [
{
"answer_title": "0,346 A",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,500 A",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,368 A",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,00 A",
"is_correct": false,
"answer_order": 4
}
]
}
]
}