// Numbas version: exam_results_page_options
{"name": "FIS5047_S6_Numbas", "metadata": {"description": "", "licence": "None specified"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": [""], "variable_overrides": [[]], "questions": [{"name": "Superposici\u00f3n de campos el\u00e9ctricos", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Picture_1_2tek4ZS.png", "/srv/numbas/media/question-resources/Picture_1_2tek4ZS.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Jon Goss", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3925/"}, {"name": "Marcelo Calder\u00f3n", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/17160/"}, {"name": "Ivan Munoz", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/18334/"}], "tags": ["coulomb", "elec", "field", "tut1", "Vector", "vector"], "metadata": {"description": "<p>Evaluaci&oacute;n de la superposici&oacute;n vectorial de campos provenientes de cuatro cargas puntuales. Este es un problema de suma de vectores, magnitudes de vectores y productos escalares (puntos) con un poco de trigonometr&iacute;a.</p>", "licence": "None specified"}, "statement": "<p style=\"text-align: center;\"><img src=\"resources/question-resources/Picture_1_2tek4ZS.png\"/></p>\n<p>Un cuadrado de lado {sidecm} $cm$ posee distintas cargas el&eacute;ctricas situadas en sus esquinas. Las cuales se denotan como $q_1$, $q_2$, $q_3$ y $q_4$ y cuyas magnitudes son respectivamente {q1}, {q2}, {q3} y {q4} $nC$.</p>\n<p>En esta pregunta interactiva se le pide determinar el campo el&eacute;ctrico total en el centro del cuadrado incluyendo tanto la magnitud como la direcci&oacute;n de este (es un vector).</p>\n<p>Esta pregunta es un ejemplo del principio de superposici&oacute;n, concerniente a la naturaleza f&iacute;sica y matem&aacute;tica de un campo vectorial.</p>\n<p>Use el valor de las constanes brindadas en los videos de clases y en sesiones de tutor&iacute;a, puede usar hasta 4 cifras significativas y asuma que el medio circundante es el vac&iacute;o, donde $\\epsilon_0=8,8\\times10^{-12}$</p>", "advice": "<p style=\"text-align: center;\"><img src=\"resources/question-resources/Picture_1.png\" width=\"400pt\"/></p>\n<p>Este es un ejercicio de que involucra la superposici&oacute;n de cuatro campos el&eacute;ctricos diferentes, lo cual equivale a la suma de cuatro vectores.&nbsp; Cada campo proviene de la ley de Coulomb (para cargas puntuales), por lo tando se debe considerar el factor</p>\n<p style=\"text-align: center;\">$\\displaystyle {q_i\\over 4\\pi\\varepsilon_0 r^2}$,</p>\n<p>donde, debido a que el punto de inter&eacute;s es el centro del cuadrado, la distancia $r$ es la misma para cada una de las cuatro cargas (en este caso {side*100}/$\\sqrt{2}\\approx$ {siground(r*100,4)} cm). En cada caso el campo apunta radialmente alejandose de la respectiva carca puntual tal que para $q_1$ este es hacia abajo e izquierda en igual medida, para $q_2$ este es hacia arriba y hacia la izquierda y ocurriendo algo similar con las dem&aacute;s. Para cargas negativas, el signo $q$ puede ser pensado como una inversi&oacute;n en el sentido del campo el&eacute;ctrico (los campos se dirigen hacia las cargas negativas). Debe ser cuidadosa o cuidadoso al determinar la direcci&oacute;n y note que los diagramas generalmente ayudan mucho!</p>\n<p>El valor de $E$ puede obtenerse f&aacute;cilmente y la direcci&oacute;n en cada caso est&aacute; dada por</p>\n<p style=\"text-align: center;\">$\\displaystyle{1\\over\\sqrt{2}}\\left(\\pm \\hat{i} \\pm \\hat{j}\\right)$,&nbsp;</p>\n<p>con las combinaciones de $\\pm$ dependiendo de qu&eacute; carga estamos considerando y con $\\sqrt{2}$ siendo un factor que proviene del hecho de que es un vector unitario.</p>\n<p style=\"text-align: left;\">Una vez que se ha obtenido cada campo vectorial, se pueden sumar por componente (aplicar el principio de superposici&oacute;n) dando el campo $E$ total en el centro del cuadrado.</p>\n<p>Finalmente, el &aacute;ngulo con la l&iacute;nea que une $q_2$ y $q_4$ se puede obtener observando que el producto escalar del campo total con la direcci&oacute;n del desplazamiento de $q_2$ a $q_4$ da un &aacute;ngulo:</p>\n<p style=\"text-align: center;\">$\\displaystyle{\\vec{E}.\\left(-\\frac{\\hat{i}}{\\sqrt{2}}+\\frac{\\hat{j}}{\\sqrt{2}}\\right)=\\left|\\vec{E}\\right|\\cos(\\theta)}$</p>\n<p style=\"text-align: left;\">tal que</p>\n<p style=\"text-align: center;\">$\\displaystyle{-E_x+E_y=\\sqrt{2}\\left|\\vec{E}\\right|\\cos(\\theta)\\Rightarrow \\theta=\\cos^{-1}\\left(\\frac{E_y-E_x}{\\sqrt{2}\\left|\\vec{E}\\right|}\\right)}$.</p>\n<p style=\"text-align: left;\">Entonces solo queda determinar el valor de theta que se encuentra en el rango de &aacute;ngulo requerido.</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"Ey1": {"name": "Ey1", "group": "Ungrouped variables", "definition": "Ex1", "description": "<p>$y$-component of the E-field from q1(N/C).</p>", "templateType": "anything", "can_override": false}, "q3": {"name": "q3", "group": "Ungrouped variables", "definition": "random(1..10#1 except q1 except q2)*random(-1..1#2)", "description": "<p>Point charge in the bottom left corner, nC.</p>", "templateType": "anything", "can_override": false}, "epsair": {"name": "epsair", "group": "Ungrouped variables", "definition": "1.0005", "description": "<p>Relative permittivity of air.</p>", "templateType": "anything", "can_override": false}, "Emag": {"name": "Emag", "group": "Ungrouped variables", "definition": "sqrt(Extotal^2+Eytotal^2)", "description": "<p>Magnitud del campo el&eacute;ctrico en el centro del cuadrado.</p>", "templateType": "anything", "can_override": false}, "sidecm": {"name": "sidecm", "group": "Ungrouped variables", "definition": "random(5..15#1)", "description": "<p>Length of side of square in cm.</p>", "templateType": "anything", "can_override": false}, "Ex2": {"name": "Ex2", "group": "Ungrouped variables", "definition": "-({qq2}*{k}/{r}^2)/sqrt(2)", "description": "<p>$x$-component of the E-field from q2 (N/C).</p>", "templateType": "anything", "can_override": false}, "thetar": {"name": "thetar", "group": "Ungrouped variables", "definition": "arccos((-Extotal/sqrt(2)+Eytotal/sqrt(2))/Emag)", "description": "<p>Angle between the line between q2 and q4 and the E-field</p>", "templateType": "anything", "can_override": false}, "Ey4": {"name": "Ey4", "group": "Ungrouped variables", "definition": "-Ex4", "description": "<p>$y$-component of the E-field from q4 (N/C).</p>", "templateType": "anything", "can_override": false}, "Ey2": {"name": "Ey2", "group": "Ungrouped variables", "definition": "-Ex2", "description": "<p>$y$-component of the E-field due to q2 (N/C).</p>", "templateType": "anything", "can_override": false}, "Ex4": {"name": "Ex4", "group": "Ungrouped variables", "definition": "({qq4}*{k}/{r}^2)/sqrt(2)", "description": "<p>$x$-component of the E-field from q4 (N/C).</p>", "templateType": "anything", "can_override": false}, "Extotal": {"name": "Extotal", "group": "Ungrouped variables", "definition": "(Ex1+Ex2+Ex3+Ex4)", "description": "", "templateType": "anything", "can_override": false}, "q4": {"name": "q4", "group": "Ungrouped variables", "definition": "random(1..10#1 except q1 except q2 except q3)*random(-1..1#2)", "description": "<p>Point charge in the top left corner, nC.</p>", "templateType": "anything", "can_override": false}, "r": {"name": "r", "group": "Ungrouped variables", "definition": "side/sqrt(2)", "description": "<p>Distance from the charges to the centre of the square in m.</p>", "templateType": "anything", "can_override": false}, "q2": {"name": "q2", "group": "Ungrouped variables", "definition": "random(1..10#1 except q1)*random(-1..1#2)", "description": "<p>Point charge in bottom right corner, nC.</p>", "templateType": "anything", "can_override": false}, "theta": {"name": "theta", "group": "Ungrouped variables", "definition": "if(thetad>270,\n  360-thetad,\n  if(thetad>180,\n    thetad-180,\n    if(thetad>90,\n      180-thetad,\n      thetad)\n)\n)", "description": "", "templateType": "anything", "can_override": false}, "Ex1": {"name": "Ex1", "group": "Ungrouped variables", "definition": "-(qq1*k/r^2)/sqrt(2)", "description": "<p>$x$-component of the E-field from q1 (N/C).</p>", "templateType": "anything", "can_override": false}, "Eytotal": {"name": "Eytotal", "group": "Ungrouped variables", "definition": "Ey1+Ey2+Ey3+Ey4", "description": "", "templateType": "anything", "can_override": false}, "eps0": {"name": "eps0", "group": "Ungrouped variables", "definition": "8.854*10^-12", "description": "<p>Permittivity of free space in F/m to 4 significant figures.</p>", "templateType": "anything", "can_override": false}, "k": {"name": "k", "group": "Ungrouped variables", "definition": "1/(4*pi*eps0*epsair)", "description": "<p>The constant, $1/4\\pi\\varepsilon$ in units of m/F.</p>", "templateType": "anything", "can_override": false}, "Ey3": {"name": "Ey3", "group": "Ungrouped variables", "definition": "Ex3", "description": "<p>$y$-component of the E-field from q3 (N/C).</p>", "templateType": "anything", "can_override": false}, "Ex3": {"name": "Ex3", "group": "Ungrouped variables", "definition": "({qq3}*{k}/{r}^2)/sqrt(2)", "description": "<p>$x$-component of the E-field from q3 (N/C).</p>", "templateType": "anything", "can_override": false}, "q1": {"name": "q1", "group": "Ungrouped variables", "definition": "random(1..10#1)*random(-1..1#2)", "description": "<p>Point charge in top right corner in nC.</p>", "templateType": "anything", "can_override": false}, "thetad": {"name": "thetad", "group": "Ungrouped variables", "definition": "thetar*180/pi", "description": "", "templateType": "anything", "can_override": false}, "rsq": {"name": "rsq", "group": "Ungrouped variables", "definition": "r*r", "description": "<p>r^2, cm</p>", "templateType": "anything", "can_override": false}, "side": {"name": "side", "group": "Ungrouped variables", "definition": "sidecm/100", "description": "<p>Side length in m.</p>", "templateType": "anything", "can_override": false}, "qq1": {"name": "qq1", "group": "Ungrouped variables", "definition": "q1*10^-9", "description": "<p>q1 in C</p>", "templateType": "anything", "can_override": false}, "qq2": {"name": "qq2", "group": "Ungrouped variables", "definition": "q2*10^-9", "description": "<p>q2 in C</p>", "templateType": "anything", "can_override": false}, "qq3": {"name": "qq3", "group": "Ungrouped variables", "definition": "q3*10^-9", "description": "<p>q3 in C</p>", "templateType": "anything", "can_override": false}, "qq4": {"name": "qq4", "group": "Ungrouped variables", "definition": "q4*10^-9", "description": "<p>q4 in C</p>", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "theta>0", "maxRuns": 100}, "ungrouped_variables": ["Emag", "eps0", "epsair", "Ex1", "Ex2", "Ex3", "Ex4", "Extotal", "Ey1", "Ey2", "Ey3", "Ey4", "Eytotal", "k", "q1", "q2", "q3", "q4", "qq1", "qq2", "qq3", "qq4", "r", "rsq", "side", "sidecm", "theta", "thetad", "thetar"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Campo producido por la carga 1", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Determine el campo el&eacute;ctrico en el centro del cuadrado y que produce la carga $q_1$ ({q1}nC).</p>\n<p style=\"text-align: center;\">$E_x(q_1)=$[[0]]V/m</p>\n<p style=\"text-align: center;\">$E_y(q_1)=$[[1]]V/m</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Ex1", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "Ex1*0.995", "maxValue": "Ex1*1.005", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "4", "precisionPartialCredit": 0, "precisionMessage": "No ha brindado una respuesta con la presici&oacute;n correcta.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en", "scientific"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Ey1", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "Ey1*0.995", "maxValue": "Ey1*1.005", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "4", "precisionPartialCredit": 0, "precisionMessage": "No ha brindado una respuesta con la presici&oacute;n correcta.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en", "scientific"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Campo producido por la carga 2", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Determine el campo el&eacute;ctrico en el centro del cuadrado y que produce la carga $q_2$ ({q2}nC).</p>\n<p style=\"text-align: center;\">$E_x(q_2)=$[[0]]V/m</p>\n<p style=\"text-align: center;\">$E_y(q_2)=$[[1]]V/m</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Ex2", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{Ex2}*0.995", "maxValue": "{Ex2}*1.005", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "4", "precisionPartialCredit": 0, "precisionMessage": "No ha brindado una respuesta con la presici&oacute;n correcta.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en", "scientific"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Ey2", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{Ey2}*0.995", "maxValue": "{Ey2}*1.005", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "4", "precisionPartialCredit": 0, "precisionMessage": "No ha brindado una respuesta con la presici&oacute;n correcta.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en", "scientific"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Campo producido por la carga 3", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Determine el campo el&eacute;ctrico en el centro del cuadrado y que produce la carga $q_3$ ({q3}nC).</p>\n<p style=\"text-align: center;\">$E_x(q_3)=$[[0]]V/m</p>\n<p style=\"text-align: center;\">$E_y(q_3)=$[[1]]V/m</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Ex3", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{Ex3}*0.995", "maxValue": "{Ex3}*1.005", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "4", "precisionPartialCredit": 0, "precisionMessage": "No ha brindado una respuesta con la presici&oacute;n correcta.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en", "scientific"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Ey3", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{Ey3}*0.995", "maxValue": "{Ey3}*1.005", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "4", "precisionPartialCredit": 0, "precisionMessage": "No ha brindado una respuesta con la presici&oacute;n correcta.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en", "scientific"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Campo producido por la carga 4", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Determine el campo el&eacute;ctrico en el centro del cuadrado y que produce la carga $q_4$ ({q4}nC).</p>\n<p style=\"text-align: center;\">$E_x(q_4)=$[[0]]V/m</p>\n<p style=\"text-align: center;\">$E_y(q_4)=$[[1]]V/m</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Ex4", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{Ex4}*0.995", "maxValue": "{Ex4}*1.005", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "4", "precisionPartialCredit": 0, "precisionMessage": "No ha brindado una respuesta con la presici&oacute;n correcta.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en", "scientific"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Ey4", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{Ey4}*0.995", "maxValue": "{Ey4}*1.005", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "4", "precisionPartialCredit": 0, "precisionMessage": "No ha brindado una respuesta con la presici&oacute;n correcta.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en", "scientific"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Campo el\u00e9ctrico neto", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Determine el campo el&eacute;ctrico neto (total) en el centro del cudrado debido a la presencia de las cuatro cargas.</p>\n<p style=\"text-align: center;\">$E_x=$[[0]]V/m</p>\n<p style=\"text-align: center;\">$E_y=$[[1]]V/m</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Extotal", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, 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