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{"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}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Ohm's Law", "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": {}, "extensions": [], "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", "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/"}]}]}], "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/"}]}