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"Ungrouped variables", "definition": "sqrt((max_V_1*cos(phase_1) + max_V_2*cos(phase_2_pos))^2 + (max_V_1*sin(phase_1) + max_V_2*sin(phase_2_pos))^2)", "description": "", "templateType": "anything", "can_override": false}, "phase_sum_init": {"name": "phase_sum_init", "group": "Ungrouped variables", "definition": "arg((cos(phase_1) + cos(phase_2_pos))+i*(sin(phase_1) + sin(phase_2_pos)))", "description": "", "templateType": "anything", "can_override": false}, "phase_sum_pos": {"name": "phase_sum_pos", "group": "Ungrouped variables", "definition": "if(phase_sum_init < 0, phase_sum_init + 2*pi, phase_sum_init)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["max_V_1", "max_V_2", "phase_1", "phase_2", "phase_2_pos", "max_V_sum", "phase_sum_init", "phase_sum_pos"], "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 modulus of the voltage $v_1(t) = \\simplify{{max_V_1}*cos}\\left(\\omega t + \\var{phase_1}\\right)$?</p>", "minValue": "max_V_1", "maxValue": "max_V_1", "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.", "strictPrecision": false, "showPrecisionHint": 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 phase of the voltage $v_1(t) = \\simplify{{max_V_1}*cos}\\left(\\omega t + \\var{phase_1}\\right)$?</p>", "minValue": "phase_1", "maxValue": "phase_1", "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.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, 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