// Numbas version: finer_feedback_settings
{"name": "Parallel RL Circuit Resistance", "extensions": [], "custom_part_types": [], "resources": [["question-resources/circuit.webp", "/srv/numbas/media/question-resources/circuit.webp"], ["question-resources/circuit.png", "/srv/numbas/media/question-resources/circuit.png"], ["question-resources/Series.png", "/srv/numbas/media/question-resources/Series.png"], ["question-resources/parallel.png", "/srv/numbas/media/question-resources/parallel.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Parallel RL Circuit Resistance", "tags": [], "metadata": {"description": "<p>Finding the&nbsp;resistance in a simple parallel RL circuit.</p>", "licence": "All rights reserved"}, "statement": "<p>Write your answer in the gap shown:</p>", "advice": "", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"A": {"name": "A", "group": "Ungrouped variables", "definition": "random(1 .. 10#1)", "description": "", "templateType": "randrange", "can_override": false}, "V": {"name": "V", "group": "Ungrouped variables", "definition": "random(100 .. 500#10)", "description": "", "templateType": "randrange", "can_override": false}, "f": {"name": "f", "group": "Ungrouped variables", "definition": "50", "description": "", "templateType": "number", "can_override": false}, "L": {"name": "L", "group": "Ungrouped variables", "definition": "round(1000*XL/(2*pi*f))", "description": "", "templateType": "anything", "can_override": false}, "R": {"name": "R", "group": "Ungrouped variables", "definition": "V/sqrt((A)^2 - (V/(2*pi*f*L/1000))^2)", "description": "", "templateType": "anything", "can_override": false}, "Y": {"name": "Y", "group": "Ungrouped variables", "definition": "A/V", "description": "", "templateType": "anything", "can_override": false}, "pf": {"name": "pf", "group": "Ungrouped variables", "definition": "random(0.1 .. 0.9#0.1)", "description": "", "templateType": "randrange", "can_override": false}, "XL": {"name": "XL", "group": "Ungrouped variables", "definition": "1/(Y*(1-pf))", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["V", "A", "Y", "pf", "XL", "L", "f", "R"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Parallel Resistance", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The supply across the terminals of this circuit is {V}&nbsp; V, {f}&nbsp; Hz.</p>\n<p>An ammeter is connected to the supply.</p>\n<p><img src=\"resources/question-resources/parallel.png\"/></p>\n<p>The inductance, L&nbsp;is {L} mH.</p>\n<p>The ammeter reading the supply current shows {A} A.</p>\n<p>Find the resistance:&nbsp;&nbsp;&nbsp;</p>\n<p>R&nbsp; = &nbsp;[[0]]&nbsp;&nbsp;$\\Omega$</p>\n<p></p>\n<p></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>Use Impedances and Complex Numbers.</li>\n<li>Use Ohm's Law on each branch.</li>\n<li>Use Kirchhoff's Current Law.</li>\n<li>Meters read Magnitude.</li>\n</ul>"}], "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Parallel Resistance", "marks": "5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "R * 0.99", "maxValue": "R * 1.01", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question", "contributors": [{"name": "Jane Courtney", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2154/"}]}]}], "contributors": [{"name": "Jane Courtney", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2154/"}]}