// Numbas version: finer_feedback_settings
{"name": "Resistors In DC Set", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [["question-resources/dc_resistors.png", "DC_Resistors.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Resistors In DC Set", "tags": [], "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "<p>This is your resistor network. Use it to calculate the total resistance.</p>\n<p><img src=\"resources/question-resources/dc_resistors.png\" alt=\"Resistor network diagram\" style=\"max-width: 40%; border: 1px solid #ccc; margin-bottom: 1em;\"/></p>\n<ul>\n<li><strong>Battery V1:</strong> {{V1}}\u202fV;</li>\n<li><strong>Resistor R1:</strong> {{R1}}\u202f&Omega;</li>\n<li><strong>Resistor R2:</strong> {{R2}}\u202f&Omega;</li>\n<li><strong>Resistor R3:</strong> {{R3}}\u202f&Omega;</li>\n<li><strong>Resistor R4:</strong> {{R4}}\u202f&Omega;</li>\n</ul>", "advice": "<h3>Advice</h3>\n<h4>1) Finding the Total Resistance of R3 and R4</h4>\n<p>R3 and R4 are connected <strong>in series</strong>, so we add their values:</p>\n<p>R<sub>series</sub> = R\u2083 + R\u2084 = {{R3}}\u202f&Omega; + {{R4}}\u202f&Omega; = <strong>{{precround(R_series,2)}}\u202f&Omega;</strong></p>\n<h4>2) Finding the Total Resistance of R1 and R2</h4>\n<p>R1 and R2 are connected <strong>in parallel</strong>. Use the parallel formula:</p>\n<p>1 / R<sub>parallel</sub> = 1 / {{R1}} + 1 / {{R2}}</p>\n<p>R<sub>parallel</sub> = 1 &divide; (1 / {{R1}} + 1 / {{R2}}) = <strong>{{precround(R_parallel,4)}}\u202f&Omega;</strong></p>\n<h4>3) Finding the Total Resistance of the Circuit</h4>\n<p>The total resistance is the <strong>series combination</strong> of R<sub>parallel</sub> and R<sub>series</sub>:</p>\n<p>R<sub>total</sub> = {{precround(R_parallel,2)}}\u202f&Omega; + {{precround(R_series,2)}}\u202f&Omega; = <strong>{{precround(R_total,4)}}\u202f&Omega;</strong></p>\n<h4>4) Finding the Supply Current</h4>\n<p>Apply <strong>Ohm&rsquo;s Law</strong>:</p>\n<p>I = V / R<sub>total</sub> = {{V1}}\u202fV / {{precround(R_total,2)}}\u202f&Omega; = <strong>{{precround(Current,4)}}\u202fA</strong></p>", "rulesets": {}, "extensions": ["jsxgraph"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"R1": {"name": "R1", "group": "Ungrouped variables", "definition": "random(100..500#10)", "description": "", "templateType": "anything", "can_override": false}, "R2": {"name": "R2", "group": "Ungrouped variables", "definition": "random(100..500#10)", "description": "", "templateType": "anything", "can_override": false}, "R3": {"name": "R3", "group": "Ungrouped variables", "definition": "random(100..500#10)", "description": "", "templateType": "anything", "can_override": false}, "R_parallel": {"name": "R_parallel", "group": "Ungrouped variables", "definition": "1 / (1/R1 + 1/R2)", "description": "", "templateType": "anything", "can_override": false}, "R_total": {"name": "R_total", "group": "Ungrouped variables", "definition": "R_parallel + R_Series", "description": "", "templateType": "anything", "can_override": false}, "R4": {"name": "R4", "group": "Ungrouped variables", "definition": "random(100..500#10)", "description": "", "templateType": "anything", "can_override": false}, "R_series": {"name": "R_series", "group": "Ungrouped variables", "definition": "R3+R4", "description": "", "templateType": "anything", "can_override": false}, "Current": {"name": "Current", "group": "Ungrouped variables", "definition": "V1/R_total", "description": "", "templateType": "anything", "can_override": false}, "V1": {"name": "V1", "group": "Ungrouped variables", "definition": "random(4..12#1)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["V1", "R1", "R2", "R3", "R4", "R_parallel", "R_series", "R_total", "Current"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"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, "prompt": "<p>What is the <strong>total resistance</strong> of R3 &amp; R4?</p>", "minValue": "R_Series-R_series*0.02", "maxValue": "R_Series+R_series*0.02", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "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, "prompt": "<p>What is the <strong>total resistance</strong> of R1 &amp; R2?</p>", "minValue": "R_Parallel-R_Parallel*0.02", "maxValue": "R_Parallel+R_Parallel*0.02", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "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, "prompt": "<p>What is the <strong>total resistance</strong> of the circuit?</p>", "minValue": "R_total-R_total*0.02", "maxValue": "R_total+R_total*0.02", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "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, "prompt": "<p>What is the <strong>supply current </strong>of the circuit?</p>", "minValue": "Current-Current*0.02", "maxValue": "Current+Current*0.02", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "James Absolom", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/30582/"}], "resources": ["question-resources/dc_resistors.png"]}]}], "contributors": [{"name": "James Absolom", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/30582/"}]}