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false}, "contributors": [{"name": "David Doyle", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1649/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Find the resistance of the element.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</p>", "advice": "<p>R=V/I</p>\n<p>R in Ohms (&Omega;)</p>\n<p>V in Volts (V)</p>\n<p>I in Amperes (A)</p>", "rulesets": {}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(5 .. 15#1)", "description": "", "templateType": "randrange"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(50 .. 150#1)", "description": "", "templateType": "randrange"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>The current flowing through a heating element is $\\var a$A when a p.d. of $\\var b$V is applied across it.</p>\n<p>[[0]]&nbsp;[[1]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [{"variable": "a", "part": "p0", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "b/a", "maxValue": "b/a", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You 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"typeendtoleave": false}, "contributors": [{"name": "David Doyle", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1649/"}], "variable_groups": [], "ungrouped_variables": ["a", "b"], "preamble": {"js": "", "css": ""}, "advice": "", "statement": "<p>Calculate&nbsp;the value of inductive reactance for a circuit containing&nbsp; &nbsp;</p>", "tags": [], "variables": {"b": {"name": "b", "group": "Ungrouped variables", "description": "<p>frequency</p>", "templateType": "randrange", "definition": "random(50..150#1)"}, "a": {"name": "a", "group": "Ungrouped variables", "description": "<p>inductance</p>", "templateType": "randrange", "definition": "random(0.05..0.45#0.05)"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "functions": {}, "parts": [{"variableReplacements": [], "showCorrectAnswer": true, "unitTests": [], "gaps": [{"precisionMessage": "You have not given your answer to the correct precision.", "variableReplacements": [{"part": "p0", "must_go_first": false, 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"c"], "advice": "", "tags": [], "parts": [{"variableReplacements": [], "prompt": "<p>R=$\\var a$&Omega;, X<sub>L</sub>=$\\var b$&Omega;, and&nbsp;X<sub>C</sub>= $\\var c$&Omega;</p>\n<p>[[0]]&nbsp;[[1]]</p>", "customMarkingAlgorithm": "", "marks": 0, "showFeedbackIcon": true, "unitTests": [], "showCorrectAnswer": true, "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "variableReplacementStrategy": "originalfirst", "type": "gapfill", "gaps": [{"mustBeReduced": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": false, "minValue": "sqrt(a^2 + (b-c)^2 )", "unitTests": [], "mustBeReducedPC": 0, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": false, "precisionType": "dp", "variableReplacements": [{"part": "p0", "variable": "", "must_go_first": false}], "strictPrecision": false, "customMarkingAlgorithm": "", "marks": "2", "allowFractions": false, "correctAnswerStyle": 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"randrange", "definition": "random(5 .. 15#1)", "description": "<p>r1</p>", "group": "Ungrouped variables", "name": "a"}, "b": {"templateType": "randrange", "definition": "random(5 .. 20#1)", "description": "<p>r2</p>", "group": "Ungrouped variables", "name": "b"}}, "variable_groups": [], "rulesets": {}, "preamble": {"css": "", "js": ""}, "metadata": {"licence": "None specified", "description": ""}, "parts": [{"showCorrectAnswer": true, "marks": 0, "prompt": "<p>are connected in series calculate their equivalent resistance</p>\n<p>[[0]]&Omega;</p>", "variableReplacementStrategy": "originalfirst", "sortAnswers": false, "useCustomName": false, "extendBaseMarkingAlgorithm": true, "adaptiveMarkingPenalty": 0, "unitTests": [], "type": "gapfill", "gaps": [{"marks": "2", "showFractionHint": true, "variableReplacements": [], "mustBeReducedPC": 0, "unitTests": [], "adaptiveMarkingPenalty": 0, "scripts": {}, "allowFractions": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "maxValue": "a+b+c", "useCustomName": false, "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "minValue": "a+b+c", "type": "numberentry", "customMarkingAlgorithm": "", "customName": "", "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true}], "customMarkingAlgorithm": "", "customName": "", "variableReplacements": [], "scripts": {}, "showFeedbackIcon": true}, {"showCorrectAnswer": true, "marks": 0, "prompt": "<p>are connected in&nbsp;parallel calculate their equivalent resistance</p>\n<p>[[0]]&Omega;</p>", "variableReplacementStrategy": "originalfirst", "sortAnswers": false, "useCustomName": false, "extendBaseMarkingAlgorithm": true, "adaptiveMarkingPenalty": 0, "unitTests": [], "type": "gapfill", "gaps": [{"marks": "2", "correctAnswerStyle": "plain", "variableReplacements": [], "mustBeReducedPC": 0, "unitTests": [], "precision": "2", "adaptiveMarkingPenalty": 0, "scripts": {}, "precisionType": "dp", "allowFractions": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": "50", "variableReplacementStrategy": "originalfirst", "maxValue": "1/((1/a)+(1/b)+(1/c))", "precisionMessage": "You have not given your answer to the correct precision.", "useCustomName": false, "extendBaseMarkingAlgorithm": true, "strictPrecision": false, "minValue": "1/((1/a)+(1/b)+(1/c))", "type": "numberentry", "customMarkingAlgorithm": "", "customName": "", "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": false, "showFeedbackIcon": true}], "customMarkingAlgorithm": "", "customName": "", "variableReplacements": [], "scripts": {}, "showFeedbackIcon": true}], "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b", "c"], "tags": [], "advice": "<p>Series:&nbsp;</p>\n<p>R<sub>T&nbsp;</sub>= R<sub>1&nbsp;</sub>+ R<sub>2&nbsp;</sub>+ R<sub>3</sub></p>\n<p><sub>Parallel:</sub></p>\n<p>1/R<sub>T&nbsp;</sub>= 1/R<sub>1&nbsp;</sub>+ 1/R<sub>2&nbsp;</sub>+ 1/R<sub>3</sub></p>"}, {"name": "Capacitors series and parallel", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "David Doyle", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1649/"}], "statement": "<p>Three capacitors of values $\\var a$F, $\\var b$F and $\\var c$F</p>", "functions": {}, "variables": {"c": {"templateType": "randrange", "definition": "random(5 .. 20#1)", "description": "<p>r3</p>", "group": "Ungrouped variables", "name": "c"}, "a": {"templateType": "randrange", "definition": "random(5 .. 15#1)", "description": "<p>r1</p>", "group": "Ungrouped variables", "name": "a"}, "b": {"templateType": "randrange", "definition": "random(5 .. 20#1)", "description": "<p>r2</p>", "group": "Ungrouped 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"useCustomName": false, "extendBaseMarkingAlgorithm": true, "strictPrecision": false, "minValue": "1/((1/a)+(1/b)+(1/c))", "type": "numberentry", "customMarkingAlgorithm": "", "customName": "", "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": false, "showFeedbackIcon": true}], "customMarkingAlgorithm": "", "customName": "", "variableReplacements": [], "scripts": {}, "showFeedbackIcon": true}, {"showCorrectAnswer": true, "marks": 0, "prompt": "<p>are connected in&nbsp;parallel calculate their equivalent capacitance</p>\n<p>[[0]]F</p>", "variableReplacementStrategy": "originalfirst", "sortAnswers": false, "useCustomName": false, "extendBaseMarkingAlgorithm": true, "adaptiveMarkingPenalty": 0, "unitTests": [], "type": "gapfill", "gaps": [{"marks": "2", "correctAnswerStyle": "plain", "variableReplacements": [], "mustBeReducedPC": 0, "unitTests": [], "precision": "2", "adaptiveMarkingPenalty": 0, "scripts": {}, "precisionType": "dp", "allowFractions": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": "50", "variableReplacementStrategy": "originalfirst", "maxValue": "a+b+c", "precisionMessage": "You have not given your answer to the correct precision.", "useCustomName": false, "extendBaseMarkingAlgorithm": true, "strictPrecision": false, "minValue": "a+b+c", "type": "numberentry", "customMarkingAlgorithm": "", "customName": "", "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": false, "showFeedbackIcon": true}], "customMarkingAlgorithm": "", "customName": "", "variableReplacements": [], "scripts": {}, "showFeedbackIcon": true}], "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b", "c"], "tags": [], "advice": "<p>Series:</p>\n<p>1/C<sub>T</sub> = 1/C<sub>1</sub> + 1/C<sub>2</sub> + 1/C<sub>3</sub></p>\n<p><sub>Parallel:</sub></p>\n<p>C<sub>T</sub>&nbsp;= C<sub>1</sub>&nbsp;+ C<sub>2</sub> + C<sub>3</sub></p>"}, {"name": 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d$&Omega;</p>\n<p>R<sub>3&nbsp;</sub>=$\\var f$&Omega;</p>\n<p><img src=\"resources/question-resources/Capture_QvgqX1L.PNG\"/></p>\n<p></p>", "variablesTest": {"condition": "", "maxRuns": 100}, "parts": [{"customMarkingAlgorithm": "", "gaps": [{"correctAnswerFraction": false, "customMarkingAlgorithm": "", "marks": 1, "showFeedbackIcon": true, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "maxValue": "a", "variableReplacements": [], "minValue": "a", "unitTests": [], "type": "numberentry", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "allowFractions": false, "mustBeReduced": false, "variableReplacementStrategy": "originalfirst"}, {"correctAnswerFraction": false, "customMarkingAlgorithm": "", "marks": 1, "showFeedbackIcon": true, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "maxValue": "c+d", "variableReplacements": [], "minValue": "c+d", "unitTests": [], "type": "numberentry", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "allowFractions": false, "mustBeReduced": false, "variableReplacementStrategy": "originalfirst"}, {"correctAnswerFraction": false, "customMarkingAlgorithm": "", "marks": 1, "showFeedbackIcon": true, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "maxValue": "d", "variableReplacements": [], "minValue": "d", "unitTests": [], "type": "numberentry", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "allowFractions": false, "mustBeReduced": false, "variableReplacementStrategy": "originalfirst"}], "marks": 0, "showFeedbackIcon": true, "prompt": "<p>Find the equation&nbsp;for the volt drop in Loop1</p>\n<p>[[0]]V = [[1]]I<sub>1&nbsp;</sub>+&nbsp;[[2]]I<sub>2</sub></p>", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "sortAnswers": false, "unitTests": [], "type": "gapfill", "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst"}, {"customMarkingAlgorithm": "", "gaps": [{"correctAnswerFraction": false, "customMarkingAlgorithm": "", "marks": 1, "showFeedbackIcon": true, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "maxValue": "b", "variableReplacements": [], "minValue": "b", "unitTests": [], "type": "numberentry", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "allowFractions": false, "mustBeReduced": false, "variableReplacementStrategy": "originalfirst"}, {"correctAnswerFraction": false, "customMarkingAlgorithm": "", "marks": 1, "showFeedbackIcon": true, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "maxValue": "d", "variableReplacements": [], "minValue": "d", "unitTests": [], "type": "numberentry", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "allowFractions": false, "mustBeReduced": false, "variableReplacementStrategy": "originalfirst"}, {"correctAnswerFraction": false, "customMarkingAlgorithm": "", "marks": 1, "showFeedbackIcon": true, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "maxValue": "d+f", "variableReplacements": [], "minValue": "d+f", "unitTests": [], "type": "numberentry", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "allowFractions": false, "mustBeReduced": false, "variableReplacementStrategy": "originalfirst"}], "marks": 0, "showFeedbackIcon": true, "prompt": "<p>Find the equation&nbsp;for the volt drop in Loop2</p>\n<p>[[0]]V = [[1]]I<sub>1&nbsp;</sub>+&nbsp;[[2]]I<sub>2</sub></p>", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "sortAnswers": false, "unitTests": [], "type": "gapfill", "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst"}, {"customMarkingAlgorithm": "", "gaps": 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