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{"name": "Potential Divider 2", "extensions": [], "custom_part_types": [], "resources": [["question-resources/pot_div_ques_3.png", "/srv/numbas/media/question-resources/pot_div_ques_3.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Potential Divider 2", "tags": [], "metadata": {"description": "<p>Potential Divider</p>", "licence": "All rights reserved"}, "statement": "<p>Analyse the potential divider below.</p>", "advice": "<p>The ratio of R<sub>2</sub> to the total resistance should be equal to the ratio of the output voltage to the e.m.f ,\\[\\frac{R_2}{R_2+R_1} = \\frac{4}{16}=\\frac{1}{4}\\\\R_2+R_1=4\\,R_2\\\\R_1=3R_2\\\\\\frac{R_2}{R_1}=\\frac{1}{3}\\].&nbsp;</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": "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 should the ratio of R<sub>1</sub> and R<sub>2</sub> be such that the voltage output at R<sub>2</sub> is 4 V? Give your answer as a fraction.</p>\n<p><img src=\"resources/question-resources/pot_div_ques_3.png\"/></p>\n<p>$\\frac{R_2}{R_1}$:&nbsp;</p>\n<p>[[0]]</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": "1/3", "maxValue": "1/3", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "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/"}]}