// Numbas version: finer_feedback_settings
{"name": "EL Q001 EM Fields, Batteries & Resistor Properties", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Q001a_Point_Charge_Electric_Field.png", "/srv/numbas/media/question-resources/Q001a_Point_Charge_Electric_Field.png"], ["question-resources/Q001a_Uniform_Electric_Field.png", "/srv/numbas/media/question-resources/Q001a_Uniform_Electric_Field.png"], ["question-resources/Q001a_Uniform_Mag_Field_Away.png", "/srv/numbas/media/question-resources/Q001a_Uniform_Mag_Field_Away.png"], ["question-resources/EL_Q001cv2__IR_Series.png", "/srv/numbas/media/question-resources/EL_Q001cv2__IR_Series.png"], ["question-resources/EL_Q001bv2__V_Div__Therm_jUVOQi7.png", "/srv/numbas/media/question-resources/EL_Q001bv2__V_Div__Therm_jUVOQi7.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "EL Q001 EM Fields, Batteries & Resistor Properties", "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International"}, "statement": "<h1 style=\"text-align: center;\">EM Fields, Batteries &amp; Resistor Properties</h1>", "advice": "", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"q001a_polarity": {"name": "q001a_polarity", "group": "Ungrouped variables", "definition": "[ \"positively \", \"negatively\" ]", "description": "", "templateType": "list of strings", "can_override": false}, "q001b_Therm_Co": {"name": "q001b_Therm_Co", "group": "Ungrouped variables", "definition": "random(0.005 .. 0.007#0.0002)", "description": "", "templateType": "randrange", "can_override": false}, "q001b_Vs": {"name": "q001b_Vs", "group": "Ungrouped variables", "definition": "random(3 .. 12#3)", "description": "", "templateType": "randrange", "can_override": false}, "q001b_R_0": {"name": "q001b_R_0", "group": "Ungrouped variables", "definition": "q001b_R1", "description": "", "templateType": "anything", "can_override": false}, "q001b_r1": {"name": "q001b_r1", "group": "Ungrouped variables", "definition": "random(2 .. 7#0.4)", "description": "", "templateType": "randrange", "can_override": false}, "q001cV1": {"name": "q001cV1", "group": "Ungrouped variables", "definition": "random(1.4 .. 1.6#0.05)", "description": "", "templateType": "randrange", "can_override": false}, "q001cR1": {"name": "q001cR1", "group": "Ungrouped variables", "definition": "random(8 .. 10#2)", "description": "", "templateType": "randrange", "can_override": false}, "q001cR2": {"name": "q001cR2", "group": "Ungrouped variables", "definition": "random(4 .. 7#1)", "description": "", "templateType": "randrange", "can_override": false}, "q001cV3": {"name": "q001cV3", "group": "Ungrouped variables", "definition": "random(1.1 .. 1.3#0.1)", "description": "", "templateType": "randrange", "can_override": false}, "q001cRL": {"name": "q001cRL", "group": "Ungrouped variables", "definition": "random(100 .. 500#100)", "description": "", "templateType": "randrange", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["q001a_polarity", "q001b_Therm_Co", "q001b_Vs", "q001b_R_0", "q001b_r1", "q001cV1", "q001cR1", "q001cR2", "q001cV3", "q001cRL"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><strong>Part a.&nbsp; Electric &amp; Magnetic Fields</strong></p>\n<p><strong></strong></p>\n<p>i. The diagram below shows two equal and opposite charged particles with the field lines between them.<strong></strong></p>\n<p><img src=\"resources/question-resources/Q001a_Point_Charge_Electric_Field.png\" width=\"328\" height=\"235\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></p>\n<p>Indicate on the diagram the direction the Electric Field.</p>\n<p>ii. The diagram shows two charged plates and a near uniform field between them. An electrically negative charged particle travels between the two plates.&nbsp;</p>\n<p><img src=\"resources/question-resources/Q001a_Uniform_Electric_Field.png\" width=\"467\" height=\"220\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></p>\n<p>Plot the expected trajectory of the charged particle.</p>\n<p></p>\n<p>iii.&nbsp; The diagram shows an electrically negative charged particle entering a uniform magnetic field.</p>\n<p><img src=\"resources/question-resources/Q001a_Uniform_Mag_Field_Away.png\" width=\"405\" height=\"331\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></p>\n<p>Using Fleming's left hand rule, plot the expected trajectory of the charged particle.<strong></strong></p>\n<p><strong>[4 Marks]</strong></p>\n<p></p>"}, {"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><strong>Part b. Voltage Divider</strong></p>\n<p>A voltage divider uses a thermistor (temperature coefficient &alpha; = {q001b_Therm_Co} /&deg;C) to measure a range of temperatures.&nbsp;</p>\n<p><img src=\"resources/question-resources/EL_Q001bv2__V_Div__Therm_jUVOQi7.png\" width=\"797\" height=\"296\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></p>\n<p>V<sub>S</sub> = {q001b_Vs}V, R<sub>1</sub> = {q001b_R1}M&Omega;, R<sub>0</sub> = {q001b_R_0}M&Omega;</p>\n<ul>\n<li>Calculate the resistance (R<sub>Th</sub>) of the thermistor at 35&deg;C.</li>\n<li>Calculate/determine the reading of <strong>V<sub>OUT</sub> </strong>at 35&deg;C.</li>\n<li>Calculate the power consumed by the circuit at 35&deg;C</li>\n</ul>\n<p>&nbsp;</p>\n<ul>\n<li>Calculate the resistance (R<sub>Th</sub>) of the thermistor at 0&deg;C.</li>\n<li>Calculate/determine the reading of <strong>V<sub>OUT</sub> </strong>for at 0&deg;C.</li>\n<li>Calculate the power consumed by the circuit at 0&deg;C</li>\n</ul>\n<p>SPICE circuit suitable for analysis: <a href=\"https://www.multisim.com/content/d9sEYo86oJ45pR2CHzUkxU/foesq001bv2-1/open/\" target=\"_blank\" rel=\"noopener\">FoESQ001b.v2 (1)</a></p>\n<p></p>\n<p><strong>[6 Marks]</strong></p>"}, {"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><strong>Part c. Internal Resistance</strong></p>\n<p>The diagram shows the arrangement for testing the internal resistance of a battery.</p>\n<ul>\n<li>What is the cause of internal resistance in batteries and what factors can influence it.</li>\n<li>Describe how the internal resistance of a battery can be determined using the configuration shown.</li>\n<li>What is the significance if the internal resistance of the battery increases or decreases over time, what complications can arise and what action should be taken.</li>\n</ul>\n<p><img src=\"resources/question-resources/EL_Q001cv2__IR_Series.png\" width=\"713\" height=\"342\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></p>\n<p>V<sub>1 </sub>= {q001cV1}V, R<sub>1</sub>= {q001cR1}&Omega;</p>\n<p>V<sub>2&nbsp;</sub>= {q001cV1}V, R<sub>2</sub>= {q001cR2}&Omega;</p>\n<p>V<sub>3 </sub>= {q001cV3}V, R<sub>3</sub>= {q001cR1}&Omega;</p>\n<p>V<sub>4 </sub>= { q001cV1}V,&nbsp;R<sub>4</sub>= { q001cR1}&Omega;</p>\n<p>R<sub>L</sub>= {q001cRL}&Omega;</p>\n<p>For the values given, analyse the battery network supplying a load (R<sub>L</sub>) with the internal resistances shown. Ensure that you:</p>\n<ul>\n<li>Explain what is wrong with the circuit and how does the error affect the performance of the network?</li>\n<li>Compare how much power is being consumed in the circuit versus what is being supplied to the load?</li>\n</ul>\n<p>SPICE circuit suitable for analysis: <a href=\"https://www.multisim.com/content/dbdsUrnKmmyvuFng8orQBH/foes-q001c/open/\">FoES Q001c</a></p>\n<p><strong>[10 Marks]</strong></p>\n<p></p>\n<p></p>"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Robert Bauld", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19446/"}]}]}], "contributors": [{"name": "Robert Bauld", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19446/"}]}