// Numbas version: exam_results_page_options
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"builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"Ntest": {"name": "Ntest", "group": "Test Data", "definition": "random(1000 .. 2000#100)", "description": "", "templateType": "randrange", "can_override": false}, "RF": {"name": "RF", "group": "Test Data", "definition": "random(10 .. 50#5)", "description": "", "templateType": "randrange", "can_override": false}, "RA": {"name": "RA", "group": "Test Data", "definition": "random(1 .. 10#1)", "description": "", "templateType": "randrange", "can_override": false}, "VS": {"name": "VS", "group": "Operation", "definition": "round(ea+IF*(RA+RF))", "description": "", "templateType": "anything", "can_override": false}, "IF": {"name": "IF", "group": "Test Data", "definition": "random(1 .. 10#1)", "description": "", "templateType": "randrange", "can_override": false}, "N": {"name": "N", "group": "Operation", "definition": "random(200 .. 2000#50)", "description": "", "templateType": "randrange", "can_override": false}, "magnetism": {"name": "magnetism", "group": "Operation", "definition": "Vtest/(2*pi*Ntest/60)", "description": "", "templateType": "anything", "can_override": false}, "omega": {"name": "omega", "group": "Operation", "definition": "2*pi*N/60", "description": "", "templateType": "anything", "can_override": false}, "T": {"name": "T", "group": "Operation", "definition": "magnetism*IF", "description": "", "templateType": "anything", "can_override": false}, "ea": {"name": "ea", "group": "Operation", "definition": "magnetism*omega", "description": "", "templateType": "anything", "can_override": false}, "Vtest": {"name": "Vtest", "group": "Test Data", "definition": "random(100 .. 500#50)", "description": "", "templateType": "randrange", "can_override": false}}, "variablesTest": {"condition": "VS > 0", "maxRuns": "1000"}, "ungrouped_variables": [], "variable_groups": [{"name": "Test Data", "variables": ["Ntest", "Vtest", "IF", "RF", "RA"]}, {"name": "Operation", "variables": ["magnetism", "VS", "T", "ea", "omega", "N"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Magnetism", "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 magnetism on the machine?</p>\n<p>$k_a \\phi = $ [[0]]</p>", "stepsPenalty": 0, "steps": [{"type": "information", "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": "<ul>\n<li>Convert the testing speed from $N$ in rpm to $\\omega$ in rad/s.</li>\n<li>Fill all testing values into $e_a=k_a\\phi\\omega$ to get the magnetism, $k_a\\phi$ at the given current.</li>\n</ul>"}], "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Magnetism", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "magnetism*0.99", "maxValue": "magnetism*1.01", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Torque", "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 torque on the motor?</p>\n<p>$T$ =&nbsp;[[0]] $ Nm $</p>", "stepsPenalty": 0, "steps": [{"type": "information", "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": "<ul>\n<li>Find the torque from $T=k_a\\phi I_A$.</li>\n</ul>"}], "gaps": 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"nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>At what speed is it running?</p>\n<p>N =&nbsp;[[0]] $ rpm $</p>", "stepsPenalty": 0, "steps": [{"type": "information", "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": "<ul>\n<li>Calcuate the voltage, $e_a$, from Kirchhoff's Voltage Law.</li>\n<li>Find the&nbsp;speed from $e_a=k_a\\phi \\omega$.</li>\n<li>Convert this to rpm.</li>\n</ul>"}], "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Speed", "marks": "15", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], 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