// Numbas version: finer_feedback_settings
{"name": "Quiz 1 AC basics", "metadata": {"description": "", "licence": "All rights reserved"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", "", "", ""], "questions": [{"name": "Capacitative reactance", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Stephen Sheridan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/10056/"}], "tags": [], "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "<p>What is the reactance, in Ohms for a&nbsp;{C*1000000}&nbsp;$\\mu$ F&nbsp;Capacitor in&nbsp;a 50 Hz, 230V series circuit?</p>", "advice": "", "rulesets": {}, "variables": {"L": {"name": "L", "group": "Ungrouped variables", "definition": "random(0.1 .. 0.01#0.01)", "description": "", "templateType": "randrange"}, "C": {"name": "C", "group": "Ungrouped variables", "definition": "random(0.0001 .. 0.000001#0.000001)", "description": "", "templateType": "randrange"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["L", "C"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": true, "customName": "XC = ", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{1/(C*314)}", "maxValue": "{1/(C*315)}", "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", "type": "question"}, {"name": "Inductive reactance", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Stephen Sheridan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/10056/"}], "tags": [], "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "<p>What is the reactance, in Ohms for a&nbsp;{L*1000}&nbsp;mH inductor in&nbsp;a 50 Hz, 230V series circuit?</p>", "advice": "", "rulesets": {}, "variables": {"L": {"name": "L", "group": "Ungrouped variables", "definition": "random(0.1 .. 0.01#0.01)", "description": "", "templateType": "randrange"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["L"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": true, "customName": "XL = ", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{L*314}", "maxValue": "{L*315}", "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", "type": "question"}, {"name": "Period", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Stephen Sheridan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/10056/"}], "tags": [], "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "<p>For a standard system with a frequency of,&nbsp;f=50 Hz, what is the period in ms?</p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": true, "customName": "T = ", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, 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"/srv/numbas/media/question-resources/image_kkb1pVD.png"], ["question-resources/image_Ytjk7iJ.png", "/srv/numbas/media/question-resources/image_Ytjk7iJ.png"], ["question-resources/image_1sAWWw3.png", "/srv/numbas/media/question-resources/image_1sAWWw3.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Stephen Sheridan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/10056/"}], "tags": [], "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "<p>In a 230 V, 50 Hz network, a&nbsp;series&nbsp;R-L circuit&nbsp;consists of a {R}$\\Omega$ resistor and a {L*1000} mH inductor.</p>\n<p>What is the current flowing in the circuit?</p>", "advice": "<p>First calculate Xl&nbsp;</p>\n<p>Then calculate Z using Pythagoras' theorem</p>\n<p>Finally use Ohms law for the current</p>", "rulesets": {}, "variables": {"R": {"name": "R", "group": "Ungrouped variables", "definition": "random(100 .. 1000#100)", "description": "", "templateType": "randrange"}, "L": {"name": "L", "group": "Ungrouped variables", "definition": "random(0.1 .. 0.001#0.001)", "description": "", "templateType": "randrange"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["R", "L"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": true, "customName": "I=", "marks": 1, "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/RLS.png\"/></p>", "minValue": "(230/(sqrt((R^2)+(((100*pi)*L)^2))))-0.5", "maxValue": "(230/(sqrt((R^2)+(((100*pi)*L)^2))))+0.5", 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false}, "contributors": [{"name": "Stephen Sheridan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/10056/"}], "tags": [], "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "<p>In a 230V 50Hz system, what is the instantaneous voltage (Vi) at t={t}ms?</p>", "advice": "<ol>\n<li>Calculate the number of degrees per ms in a period</li>\n<li>Then calculate the angle $\\theta$ at {t}ms</li>\n<li>Finally Vi = Vpeak x SIN($\\theta$)</li>\n</ol>", "rulesets": {}, "variables": {"t": {"name": "t", "group": "Ungrouped variables", "definition": "random(1 .. 19#1)", "description": "", "templateType": "randrange"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["t"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": true, "customName": "Vi=", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": 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