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{"name": "Series and Parallel Circuits Part 2", "extensions": [], "custom_part_types": [], "resources": [["question-resources/parallel_and_series_question.png", "/srv/numbas/media/question-resources/parallel_and_series_question.png"], ["question-resources/parallel_and_series_question_3uZHXNA.png", "/srv/numbas/media/question-resources/parallel_and_series_question_3uZHXNA.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Series and Parallel Circuits Part 2", "tags": [], "metadata": {"description": "<p>Resistors in series and parallel</p>", "licence": "All rights reserved"}, "statement": "<p>Calculate the total resistance of the following series and parallel circuits.</p>", "advice": "<p>The resistors in branch A are in series with each other, therefore: Total resistance in branch A =&nbsp; 1 k$\\Omega$+2 k$\\Omega$ = 3 k$\\Omega$</p>\n<p>Similarly for branch B: Total resistance in branch B =&nbsp; 1 k$\\Omega$+3 k$\\Omega$ = 4 k$\\Omega$</p>\n<p>The resistors in branch A are in parallel to resistors in branch B, therefore the total resistance is: \\[\\frac{1}{R_{tot}} = \\frac{1}{4000}+\\frac{1}{3000} = \\frac{7}{12000}\\,\\Omega\\\\ R_{tot}=\\frac{12000}{7}=1.71\\,k\\Omega\\] to 2 decimal places.</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>Answer the following questions to determine the total resistance of the circuit.</p>\n<h3><img src=\"resources/question-resources/parallel_and_series_question_3uZHXNA.png\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></h3>\n<p>What is the combined resistance of the resistors in branch A and branch B respectively?</p>\n<p>Total resistance in branch A: [[0]] k$\\Omega$&nbsp; &nbsp; &nbsp; Total resistance in branch&nbsp;B:&nbsp;[[1]] k$\\Omega$</p>\n<p>What is the total resistance of the circuit? Hint: Branch B is parallel to Branch A.</p>\n<p>Total resistance: [[2]]k$\\Omega$</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": "3", "maxValue": "3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"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": "4", "maxValue": "4", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"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": "1.71", "maxValue": "1.71", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision (2 decimal places).&nbsp;", "strictPrecision": true, "showPrecisionHint": 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/"}]}