// Numbas version: exam_results_page_options {"name": "Huiswerk natuurkunde week 37 (test 0)", "metadata": {"description": "", "licence": "None specified"}, "duration": 0, "percentPass": "0", "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", ""], "questions": [{"name": "Spanningsverschil, stroomsterkte, weerstand en de wet van Ohm", "extensions": [], "custom_part_types": [], "resources": [["question-resources/basisOhm1.png", "/srv/numbas/media/question-resources/basisOhm1.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mart Greuell", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3806/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Onderstaande vragen gaan over de belangrijke grootheden spanning ($U$) met eenheid volt (V), stroomsterkte ($I$) met eenheid ampère (A) en weerstand ($R$) met eenheid ohm ($\\Omega$). Het verband tussen deze grootheden wordt gegeven door de wet van Ohm: $U=IR$

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Met deze vragen leer je:

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1) wat je je voor moet stellen bij de grootheden $U$, $I$, en $R$.

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2) hoe je de wet van ohm toe kunt passen in schakelingen met één stroomkring, één weerstand en een spanningsbron.

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Wat is een correcte beschrijving van de grootheid stroomsterkte $I$?

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Wat is een goede omschrijving van de grootheid spanningsverschil ($U$)?

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Wat is een goede omschrijving van de grootheid weerstand ($R$)?

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Bekijk deze schakeling. $I$ en $R$ zijn gegeven. Bereken de spanning $U$ die de bron levert.

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$I$ = {I0} A

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$R$ = {R1} $\\Omega$

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Geef je antwoord in volt (V).

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Bekijk deze schakeling. $U$ en $R$ zijn gegeven. Bereken de stroomsterkte $I$.

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$U$ = {U2} V

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$R$ = {R2} $\\Omega$

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Geef je antwoord in ampère (A)

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Bekijk deze schakeling. $I$ en $U$ zijn gegeven. Bereken de weerstand $R$.

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$I$ = {I3} A

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$U$ = {U3} V

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Geef je antwoord in ohm ($\\Omega$)

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Bereken steeds de weerstand tussen de punten A en B in de schakelingen uit onderstaande figuren. Gebruik de volgende vergelijkingen:

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vervangingsweerstand van een serieschakeling: $R_s = R_1 + R_2 + ... + R_n$

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vervangingsweerstand van een parallelschakeling: $\\frac{1}{R_s}=\\frac{1}{R_1}+\\frac{1}{R_2}+...+\\frac{1}{R_n}$

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Met deze vragen leer je:

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-hoe je de vervangingsweerstand $R_s$ van een schakeling met meerdere weerstanden berekent.

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-hoe je de stroomsterkte $I$ en de spanning $U$ in een schakeling met meerdere weerstanden berekent.

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Wat is de vervangingsweerstand $R_s$ van deze schakeling tussen punt $A$ en $B$? 

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$R_1$ = {R_1} $\\Omega$

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$R_2$ = {R_2} $\\Omega$

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$R_3$ = {R_3} $\\Omega$

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Geef je antwoord in $\\Omega$. 

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", "minValue": "{R_1+R_2*R_3/(R_2+R_3)}", "maxValue": "{R_1+R_2*R_3/(R_2+R_3)}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "100", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Wat is de vervangingsweerstand $R_s$ van deze schakeling tussen punt $A$ en $B$?

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$R_1$ = {R_1} $\\Omega$

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$R_2$ = {R_2} $\\Omega$

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$R_3$ = {R_3} $\\Omega$

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$R_4$ = {R_4} $\\Omega$

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$R_5$ = {R_5} $\\Omega$

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Geef je antwoord in $\\Omega$. 

", "minValue": "{R_1+R_2+R_3*R_4*R_5/(R_3*R_4+R_4*R_5+R_3*R_5)}", "maxValue": "{R_1+R_2+R_3*R_4*R_5/(R_3*R_4+R_4*R_5+R_3*R_5)}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "100", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Wat is de vervangingsweerstand $R_s$ van deze schakeling tussen punt $A$ en $B$? 

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$R_1$ = {R_1} $\\Omega$

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$R_2$ = {R_2} $\\Omega$

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$R_3$ = {R_3} $\\Omega$

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$R_4$ = {R_4} $\\Omega$

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Geef je antwoord in $\\Omega$.

", "minValue": "{R_1+R_4*(R_2+R_3)/(R_4+R_3+R_2)}", "maxValue": "{R_1+R_4*(R_2+R_3)/(R_4+R_3+R_2)}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "100", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Wat is de vervangingsweerstand $R_s$ van deze schakeling tussen punt $A$ en $B$? 

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$R_1$ = {R_1} $\\Omega$

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$R_2$ = {R_2} $\\Omega$

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$R_3$ = {R_3} $\\Omega$

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$R_4$ = {R_4} $\\Omega$

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$R_5$ = {R_5} $\\Omega$

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Geef je antwoord in $\\Omega$. 

", "minValue": "{1/(1/(R_1+R_2)+1/R_3+1/(R_4+R_5))}", "maxValue": "{1/(1/(R_1+R_2)+1/R_3+1/(R_4+R_5))}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "100", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

In onderstaande afbeelding zijn de waarden van de weerstanden en de stroomsterkte gegeven. Wat is de spanning $U$ tussen punt $A$ en $B$?

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$R_1$ = {R_1} $\\Omega$

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$R_2$ = {R_2} $\\Omega$

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$R_3$ = {R_3} $\\Omega$

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$R_4$ = {R_4} $\\Omega$

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$I$ = {I_1} A

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Geef je antwoord in V.

", "minValue": "{(1/(1/R_1+1/R_2+1/R_3)+R_4)*I_1}", "maxValue": "{(1/(1/R_1+1/R_2+1/R_3)+R_4)*I_1}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "100", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

In onderstaande afbeelding zijn de waarden van de weerstanden en de bronspanning gegeven. Wat is de stroomsterkte $I$? 

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$R_1$ = {R_1} $\\Omega$

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$R_2$ = {R_2} $\\Omega$

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$R_3$ = {R_3} $\\Omega$

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$R_4$ = {R_4} $\\Omega$

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$U$ = {U_1} V

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Geef je antwoord in A. 

", "minValue": "{U_1/(R_1*R_2/(R_1+R_2)+R_3*R_4/(R_3+R_4))}", "maxValue": "{U_1/(R_1*R_2/(R_1+R_2)+R_3*R_4/(R_3+R_4))}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "100", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Speciaal voor de expert: een extra uitdagende opgave. Je hoeft deze opgave niet te kunnen, maar hij is wel mogelijk met de kennis die je nu hebt. Deze opgave mag je overslaan als je er niet uit komt.

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In onderstaande afbeelding zijn de waarden van de weerstanden en de bronspanning gegeven. Wat is de stroomsterkte $I$? 

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$R_1$ = {R1} $\\Omega$

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$R_2$ = {R2} $\\Omega$

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$R_3$ = {R3} $\\Omega$

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$R_4$ = {R4} $\\Omega$

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$R_5$ = {R5} $\\Omega$

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$R_6$ = {R6} $\\Omega$

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$R_7$ = {R7} $\\Omega$

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$R_8$ = {R8} $\\Omega$

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$U_{bron}$ = 40 V

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Geef je antwoord in A. 

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Bij deze opgave wordt je weer gevraagd om stroomsterktes, weerstanden en spanningen te berekenen, maar moet je rekening houden met de juiste voorvoegsels van de eenheden die bij de grootheden horen. Als je niet meer weet wat de voorvoegsels betekenen, kun je dit op internet opzoeken.

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Met deze opgave leer je:

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-de voorvoegsels nano (n), micro ($\\mu$) milli (m), kilo (k), mega (M) en giga (G) gebruiken.

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Bereken de vervangingsweerstand $R_s$ tussen punt $A$ en $B$ in onderstaande afbeelding. 

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$R_1$ = {kR1} k$\\Omega$

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$R_2$ = {mR2} m$\\Omega$

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$R_3$ = {R3} $\\Omega$

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Geef je antwoord in $\\Omega$. 

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Bereken de bronspanning $U$ tussen punt in onderstaande afbeelding.

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$I$ = {nI1} nA

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$R$ = {R3} $\\Omega$

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Geef je antwoord in $\\mu$V.

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Bereken de spanning $U$ tussen punt $A$ en $B$ in onderstaande afbeelding. 

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$I$ = {muI1} $\\mu$A

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$R_1$ = {GR1} G$\\Omega$

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$R_2$ = {GR2} G$\\Omega$

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$R_3$ = {GR3} G$\\Omega$

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$R_4$ = {GR4} G$\\Omega$

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Geef je antwoord in MV. 

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Geef vergelijking

", "answer": "\\int_{\u200b\u200b\u200b\u200b\\pi}\u200b\u200b\u200b\u200b^{\u200b\u200b\u200b\u200b\\pi}\u200b\u200b\u200b\u200b sin(x)dx", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": []}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}], "navigation": {"allowregen": false, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": true, "showresultspage": "oncompletion", "navigatemode": "sequence", "onleave": {"action": "warnifunattempted", "message": "

Pas op, je hebt nog niet alles ingevuld!

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