// Numbas version: exam_results_page_options {"name": "Technical uncertainty - voltage divider", "extensions": [], "custom_part_types": [], "resources": [["question-resources/NeilStorey_BookFrontCover_OLD.JPG", "/srv/numbas/media/question-resources/NeilStorey_BookFrontCover_OLD.JPG"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Technical uncertainty - voltage divider", "tags": [], "metadata": {"description": "

Determining technical technical uncertainty of the output of a voltage divider, when resistor tolerances are known.

Find the maximum deviation from a nominal value of a voltage output of a voltage divider given below.

\n

Use partial derivative calculus to estimate the maximum dviations of each of the variables that determine the output.

", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"r1": {"name": "r1", "group": "Ungrouped variables", "definition": "random(100 .. 1000#10)", "description": "

Resistor 1 in a voltage divider

", "templateType": "randrange", "can_override": true}, "r2": {"name": "r2", "group": "Ungrouped variables", "definition": "random(50 .. 2200#10)", "description": "

Resistor 2 from a voltage divider

", "templateType": "randrange", "can_override": true}, "tol1": {"name": "tol1", "group": "Ungrouped variables", "definition": "random(1..10)", "description": "

Component tolerance of resistor 1

", "templateType": "anything", "can_override": true}, "tol2": {"name": "tol2", "group": "Ungrouped variables", "definition": "random(1..10 except tol1)", "description": "

Component tolerance of resistor 2

", "templateType": "anything", "can_override": true}, "Vs": {"name": "Vs", "group": "Ungrouped variables", "definition": "random(10 .. 30#1)", "description": "

Voltage source to the voltage divider

", "templateType": "randrange", "can_override": true}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["r1", "r2", "tol1", "tol2", "Vs"], "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": "

A voltage divider is created by two resistors in series, R1 and R2, with values R1 = {r1} Ohm and R2={r2} Ohm. The input is a voltage source with nominal value of {Vs}V.

\n

The tolerances of resistors R_1 and R_2 are {tol1}% and {tol2}, respectively.

\n

Calculate the nominal value of the output voltage of the voltave divider, Vo, and estimate its worst case variation from the nominal value, dV, in volts.

", "alternatives": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "alternativeFeedbackMessage": "", "useAlternativeFeedback": false, "minValue": "", "maxValue": "", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "minValue": "", "maxValue": "", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Tijana Timotijevic", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/6248/"}]}]}], "contributors": [{"name": "Tijana Timotijevic", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/6248/"}]}