// Numbas version: exam_results_page_options
{"name": "PARTNERS: Electronics Numbas Questions", "metadata": {"description": "<p>Basic circuit analysis questions</p>", "licence": "All rights reserved"}, "duration": 1800, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Current, Voltage and Resistance", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": [""], "variable_overrides": [[]], "questions": [{"name": "Analyse the following circuits to determine the  properties of the circuit.", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Chris Graham", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/369/"}, {"name": "Madhava Krishna Prasad", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/11576/"}], "tags": [], "metadata": {"description": "<p>These are basic circuit analysis questions and can be used for year 1 introductory classes to circuit analysis.</p>", "licence": "All rights reserved"}, "statement": "<p>A component has 3 A of current flowing through it for 20 seconds.&nbsp;&nbsp;</p>", "advice": "<p>a) The total amount of current that passes through the component is, $Q = I \\times t$. Therefore, $Q = 3 \\times 20 = 60$ C.</p>\n<p>b) The potential difference across the component is, $V = \\frac{W}{Q}$. Therefore, $V = \\frac{120}{60} = 2$ V.</p>\n<p>c) The resistance of the component is, $R =\\frac{V}{I} = \\frac{2}{3} = 0.67 \\Omega$ .&nbsp;</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the total amount of charge,&nbsp;<strong>in Coulombs (C),</strong>&nbsp;that passes through the component during this time?</p>\n<p>[[0]] C&nbsp;</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "60", "maxValue": "60", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The total work done in moving all the charges that had passed in 20 seconds is 120 J. What is the potential difference across the component <strong>in Volts (V)</strong>?</p>\n<p>[[0]] V</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "2", "maxValue": "2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the resistance of the component in <strong>Ohms $\\Omega$</strong>? Give your answer to 2 decimal places.</p>\n<p>[[0]]$\\Omega$</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "0.67", "maxValue": "0.67", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision. Give answer to 2 d.p.", "strictPrecision": true, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}, {"name": "Ohm's law and I-V characteristics", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": [""], "variable_overrides": [[]], "questions": [{"name": "Ohm's Law", "extensions": [], "custom_part_types": [], "resources": [["question-resources/diodeIV.png", "/srv/numbas/media/question-resources/diodeIV.png"], ["question-resources/conductorIV.png", "/srv/numbas/media/question-resources/conductorIV.png"], ["question-resources/filamentIV.png", "/srv/numbas/media/question-resources/filamentIV.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Chris Graham", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/369/"}, {"name": "Madhava Krishna Prasad", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/11576/"}], "tags": [], "metadata": {"description": "<p>Basic Circuit Analysis questions</p>", "licence": "All rights reserved"}, "statement": "<p>The following plots show the I-V characteristic of different types of circuit components.&nbsp;</p>", "advice": "<p>a) For an ohmic conductor $ I \\propto V$. Hence the gradient must be constant, in other words, the graph is a straight line passing through the origin. There is only one option that satisfies this requirement.</p>\n<p>b) The gradient of the I-V characteristic is, $Gradient = \\frac{I}{V} = \\frac{1}{R}$. Therefore, $R = \\frac{1}{Gradient} = 5 \\Omega$.</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Which of the following graphs show the I-V relationship of an&nbsp;<strong>ohmic conductor</strong>?</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": "1", "showCellAnswerState": true, "choices": ["<img src=\"resources/question-resources/diodeIV.png\" width=\"254\" height=\"194\"/>", "<img src=\"resources/question-resources/conductorIV.png\" width=\"257\" height=\"197\"/>", "<img src=\"resources/question-resources/filamentIV.png\" width=\"275\" height=\"210\"/>"], "matrix": [0, "1", 0], "distractors": ["", "", ""]}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Given that the gradient of the I-V curve of an ohmic conductor is 0.2 $\\Omega^{-1}$. What is the resistance of the conductor <strong>in Ohms ($\\Omega$)</strong>?</p>", "minValue": "5", "maxValue": "5", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}, {"name": "Series and Parallel Circuits", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": [""], "variable_overrides": [[]], "questions": [{"name": "Kirchoff's Laws", "extensions": [], "custom_part_types": [], "resources": [["question-resources/kirchoffs1stlawquestion.png", "/srv/numbas/media/question-resources/kirchoffs1stlawquestion.png"], ["question-resources/kirchoffs_1st_law_second_question.png", "/srv/numbas/media/question-resources/kirchoffs_1st_law_second_question.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Chris Graham", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/369/"}, {"name": "Madhava Krishna Prasad", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/11576/"}], "tags": [], "metadata": {"description": "<p>Basic circuit analysis</p>", "licence": "All rights reserved"}, "statement": "<p>Analyse the current in the branches using Kirchoff's laws.&nbsp;</p>", "advice": "<p>a) Using Kirchoff's 1<sup>st</sup> Law: \\[Total\\:I_{in} = Total\\:I_{out}\\\\ 2\\,A +1\\,A = I_{out} + 0.5\\,A\\\\ I_{out} = 2.5\\,A\\]</p>\n<p>b) The potential difference across all the parallel branches are the same. Therefore, we can write:\\[I_0\\,R = 2I_1\\,R\\:\\text{and}\\:I_0\\,R= 6I_2\\,R\\\\\\ I_0 = 2I_1\\:\\text{and}\\:I_0=6I_2\\].&nbsp;</p>\n<p>Using Kirchoff's first law at the first junction we can obtain the following relation:\\[I_0+I_1+I_2=3\\,A\\\\ I_0 + \\frac{1}{2}I_0 + \\frac{1}{6}I_0=3\\,A\\ \\\\ \\frac{10}{6}I_0=3\\,A\\\\ I_0=1.8\\,A\\].</p>\n<p>Therefore, $I_1 = \\frac{1}{2}\\times1.8=0.9\\,A$ and $I_2=\\frac{1}{6}\\times1.8=0.3\\,A$.</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><img src=\"resources/question-resources/kirchoffs1stlawquestion.png\" width=\"413\" height=\"238\"/></p>\n<p>Determine the unknown current, I<sub>out</sub>, using Kirchoff's 1<sup>st</sup> Law.&nbsp;</p>\n<p>[[0]] A</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "2.5", "maxValue": "2.5", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><img src=\"resources/question-resources/kirchoffs_1st_law_second_question.png\"/></p>\n<p>Determine the three unknown currents, $I_0,\\,I_1\\,\\text{and}\\,I_2$., in&nbsp;<strong>Amperes (A)</strong>.&nbsp;</p>\n<p>$I_0=$[[0]]A, $I_1=$ [[1]] A and $I_2=$[[2]] A.&nbsp;</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, 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