// Numbas version: finer_feedback_settings
{"name": "5_RLCParrallel_VI_v00", "extensions": ["geogebra", "quantities"], "custom_part_types": [{"source": {"pk": 19, "author": {"name": "William Haynes", "pk": 2530}, "edit_page": "/part_type/19/edit"}, "name": "Engineering Accuracy with units", "short_name": "engineering-answer", "description": "<p>A value with units marked right if within an adjustable % error of the correct value. &nbsp;Marked close if within a wider margin of error.</p>", "help_url": "", "input_widget": "string", "input_options": {"correctAnswer": "siground(settings['correctAnswer'],4)", "hint": {"static": true, "value": ""}, "allowEmpty": {"static": true, "value": true}}, "can_be_gap": true, "can_be_step": true, "marking_script": "mark:\nswitch( \n  right and good_units and right_sign, add_credit(1.0,'Correct.'),\n  right and good_units and not right_sign, add_credit(settings['C2'],'Wrong sign.'),\n  right and right_sign and not good_units, add_credit(settings['C2'],'Correct value, but wrong or missing units.'),\n  close and good_units, add_credit(settings['C1'],'Close.'),\n  close and not good_units, add_credit(settings['C3'],'Answer is close, but wrong or missing units.'),\n  incorrect('Wrong answer.')\n)\n\ninterpreted_answer:\nqty(student_scalar, student_units)\n\n\n\ncorrect_quantity:\nsettings[\"correctAnswer\"]\n\n\n\ncorrect_units:\nunits(correct_quantity)\n\n\nallowed_notation_styles:\n[\"plain\",\"en\"]\n\nmatch_student_number:\nmatchnumber(studentAnswer,allowed_notation_styles)\n\nstudent_scalar:\nmatch_student_number[1]\n\nstudent_units:\nreplace_regex('ohms','ohm',\n  replace_regex('\u00b0', ' deg',\n    replace_regex('-', ' ' ,\n      studentAnswer[len(match_student_number[0])..len(studentAnswer)])),\"i\")\n\ngood_units:\ntry(\ncompatible(quantity(1, student_units),correct_units),\nmsg,\nfeedback(msg);false)\n\n\nstudent_quantity:\nswitch(not good_units, \n       student_scalar * correct_units, \n       not right_sign,\n       -quantity(student_scalar, student_units),\n       quantity(student_scalar,student_units)\n)\n  \n\n\npercent_error:\ntry(\nscalar(abs((correct_quantity - student_quantity)/correct_quantity))*100  \n,msg,\nif(student_quantity=correct_quantity,0,100))\n   \n\nright:\npercent_error <= settings['right']\n\n\nclose:\nright_sign and percent_error <= settings['close']\n\nright_sign:\nsign(student_scalar) = sign(correct_quantity)", "marking_notes": [{"name": "mark", "description": "This is the main marking note. It should award credit and provide feedback based on the student's answer.", "definition": "switch( \n  right and good_units and right_sign, add_credit(1.0,'Correct.'),\n  right and good_units and not right_sign, add_credit(settings['C2'],'Wrong sign.'),\n  right and right_sign and not good_units, add_credit(settings['C2'],'Correct value, but wrong or missing units.'),\n  close and good_units, add_credit(settings['C1'],'Close.'),\n  close and not good_units, add_credit(settings['C3'],'Answer is close, but wrong or missing units.'),\n  incorrect('Wrong answer.')\n)"}, {"name": "interpreted_answer", "description": "A value representing the student's answer to this part.", "definition": "qty(student_scalar, student_units)\n\n"}, {"name": "correct_quantity", "description": "", "definition": "settings[\"correctAnswer\"]\n\n"}, {"name": "correct_units", "description": "", "definition": "units(correct_quantity)\n"}, {"name": "allowed_notation_styles", "description": "", "definition": "[\"plain\",\"en\"]"}, {"name": "match_student_number", "description": "", "definition": "matchnumber(studentAnswer,allowed_notation_styles)"}, {"name": "student_scalar", "description": "", "definition": "match_student_number[1]"}, {"name": "student_units", "description": "<p>Modify&nbsp;the&nbsp;unit portion of&nbsp;the student's answer by</p>\n<p>1. replacing \"ohms\" with \"ohm\" &nbsp;case insensitive</p>\n<p>2.&nbsp;replacing '-'&nbsp;with ' '&nbsp;</p>\n<p>3. replacing '&deg;' with ' deg'&nbsp;</p>\n<p>to allow answers like 10 ft-lb and 30&deg;</p>", "definition": "replace_regex('ohms','ohm',\n  replace_regex('\u00b0', ' deg',\n    replace_regex('-', ' ' ,\n      studentAnswer[len(match_student_number[0])..len(studentAnswer)])),\"i\")"}, {"name": "good_units", "description": "", "definition": "try(\ncompatible(quantity(1, student_units),correct_units),\nmsg,\nfeedback(msg);false)\n"}, {"name": "student_quantity", "description": "<p>This fixes the student answer for two common errors. &nbsp;</p>\n<p>If student_units are wrong&nbsp;&nbsp;- replace with correct units</p>\n<p>If student_scalar has the wrong sign - replace with right sign</p>\n<p>If student makes both errors, only one gets fixed.</p>", "definition": "switch(not good_units, \n       student_scalar * correct_units, \n       not right_sign,\n       -quantity(student_scalar, student_units),\n       quantity(student_scalar,student_units)\n)\n  \n"}, {"name": "percent_error", "description": "", "definition": "try(\nscalar(abs((correct_quantity - student_quantity)/correct_quantity))*100  \n,msg,\nif(student_quantity=correct_quantity,0,100))\n   "}, {"name": "right", "description": "", "definition": "percent_error <= settings['right']\n"}, {"name": "close", "description": "<p>Only marked close if the student actually has the right sign.</p>", "definition": "right_sign and percent_error <= settings['close']"}, {"name": "right_sign", "description": "", "definition": "sign(student_scalar) = sign(correct_quantity) "}], "settings": [{"name": "correctAnswer", "label": "Correct Quantity.", "help_url": "", "hint": "The correct answer given as a JME quantity.", "input_type": "code", "default_value": "", "evaluate": true}, {"name": "right", "label": "% Accuracy for right.", "help_url": "", "hint": "Question will be considered correct if the scalar part of the student's answer is within this % of correct value.", "input_type": "code", "default_value": "0.2", "evaluate": true}, {"name": "close", "label": "% Accuracy for close.", "help_url": "", "hint": "Question will be considered close if the scalar part of the student's answer is within this % of correct value.", "input_type": "code", "default_value": "1.0", "evaluate": true}, {"name": "C1", "label": "Close with units.", "help_url": "", "hint": "Partial Credit for close value with appropriate units. &nbsp;if correct answer is 100 N and close is &plusmn;1%,<br />99 &nbsp;N is accepted.", "input_type": "percent", "default_value": "75"}, {"name": "C2", "label": "No units or wrong sign", "help_url": "", "hint": "Partial credit for forgetting units or using wrong sign.<br />If the correct answer is 100 N, both 100 and -100 N are accepted.", "input_type": "percent", "default_value": "50"}, {"name": "C3", "label": "Close, no units.", "help_url": "", "hint": "Partial Credit for close value but forgotten units.<br />This value would be close&nbsp;if the expected units were provided. &nbsp;If the correct answer is 100 N, and close is &plusmn;1%,<br />99 is accepted.", "input_type": "percent", "default_value": "25"}], "public_availability": "always", "published": true, "extensions": ["quantities"]}], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "5_RLCParrallel_VI_v00", "tags": [], "metadata": {"description": "<p>series of R and L and C</p>\n<p></p>\n<p>find Z (mag and Phase)</p>\n<p>step find Xl</p>", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "<p style=\"float: right; padding: 3pt;\"></p>\n<p style=\"float: right; padding: 3pt;\"></p>\n<p style=\"float: right; padding: 3pt;\"></p>\n<p style=\"float: right; padding: 3pt;\"></p>\n<p style=\"float: right; padding: 3pt;\"></p>\n<p style=\"float: right; padding: 3pt;\"></p>\n<p style=\"float: right; padding: 3pt;\"></p>\n<p style=\"float: right; padding: 3pt;\"></p>\n<p>A circuit consists of a two <strong>parrallel</strong> branches&nbsp;&nbsp;and is supplied by&nbsp;a&nbsp;{f} Hz,&nbsp; {Vs} V ac voltage source.</p>\n<p>Branch 1 $R= $ {qty({R1},'ohm')},&nbsp;$L = ${qty(L1mH,'mH')} and&nbsp;$C = ${qty(C1uF,'uF')}&nbsp; &nbsp;</p>\n<p>Branch 2 $R= $ {qty({R2},'ohm')},&nbsp;$L = ${qty(L2mH,'mH')} and&nbsp;$C = ${qty(C2uF,'uF')}&nbsp; &nbsp;</p>\n<p>Find the current flowing from the source. ${Is}$.&nbsp;</p>", "advice": "", "rulesets": {}, "extensions": ["geogebra"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"R1": {"name": "R1", "group": "Given in question", "definition": "random(0..100#5 except 0)", "description": "", "templateType": "anything", "can_override": false}, "Zbr1": {"name": "Zbr1", "group": "Ungrouped variables", "definition": "Rbr1+i*Xbr1", "description": "", "templateType": "anything", "can_override": false}, "L1": {"name": "L1", "group": "Ungrouped variables", "definition": "L1mH*10^-3", "description": "", "templateType": "anything", "can_override": false}, "Xl1": {"name": "Xl1", "group": "Ungrouped variables", "definition": "2*pi*f*L1", "description": "", "templateType": "anything", "can_override": false}, "f": {"name": "f", "group": "Given in question", "definition": "random(50 .. 60#10)", "description": "", "templateType": "randrange", "can_override": false}, "C1uF": {"name": "C1uF", "group": "Given in question", "definition": "random(10 .. 200#20)", "description": "", "templateType": "randrange", "can_override": false}, "C1": {"name": "C1", "group": "Ungrouped variables", "definition": "C1uF*10^-6", "description": "", "templateType": "anything", "can_override": false}, "Xbr1": {"name": "Xbr1", "group": "Ungrouped variables", "definition": "XL1-XC1", "description": "", "templateType": "anything", "can_override": false}, "XC1": {"name": "XC1", "group": "Ungrouped variables", "definition": "1/(2*pi*f*C1) ", "description": "", "templateType": "anything", "can_override": false}, "uF": {"name": "uF", "group": "FreqUsedDefinitions", "definition": "'\\mu F'", "description": "", "templateType": "anything", "can_override": false}, "L1mH": {"name": "L1mH", "group": "Given in question", "definition": "random(100 .. 200#10)", "description": "", "templateType": "randrange", "can_override": false}, "Rbr1": {"name": "Rbr1", "group": "Ungrouped variables", "definition": "R1", "description": "", "templateType": "anything", "can_override": false}, "Vs": {"name": "Vs", "group": "Given in question", "definition": "random(180 .. 280#10)", "description": "", "templateType": "randrange", "can_override": false}, "Ibr1": {"name": "Ibr1", "group": "Ungrouped variables", "definition": "Vs/Zbr1", "description": "", "templateType": "anything", "can_override": false}, "R2": {"name": "R2", "group": "Given in question", "definition": "random(0..100#5 except 0)", "description": "", "templateType": "anything", "can_override": false}, "L2mH": {"name": "L2mH", "group": "Given in question", "definition": "random(100 .. 200#20)", "description": "", "templateType": "randrange", "can_override": false}, "C2uF": {"name": "C2uF", "group": "Given in question", "definition": "random(50 .. 200#10)", "description": "", "templateType": "randrange", "can_override": false}, "L2": {"name": "L2", "group": "Ungrouped variables", "definition": "L2mH*10^-3", "description": "", "templateType": "anything", "can_override": false}, "C2": {"name": "C2", "group": "Ungrouped variables", "definition": "C2uF*10^-6", "description": "", "templateType": "anything", "can_override": false}, "XC2": {"name": "XC2", "group": "Ungrouped variables", "definition": "1/(2*pi*f*C2) ", "description": "", "templateType": "anything", "can_override": false}, "Xl2": {"name": "Xl2", "group": "Ungrouped variables", "definition": "2*pi*f*L2\n", "description": "", "templateType": "anything", "can_override": false}, "Xbr2": {"name": "Xbr2", "group": "Ungrouped variables", "definition": "XL2-XC2", "description": "", "templateType": "anything", "can_override": false}, "Rbr2": {"name": "Rbr2", "group": "Ungrouped variables", "definition": "R2", "description": "", "templateType": "anything", "can_override": false}, "Zbr2": {"name": "Zbr2", "group": "Ungrouped variables", "definition": "Rbr2+i*Xbr2", "description": "", "templateType": "anything", "can_override": false}, "Ibr2": {"name": "Ibr2", "group": "Ungrouped variables", "definition": "Vs/Zbr2", "description": "", "templateType": "anything", "can_override": false}, "Is": {"name": "Is", "group": "Ungrouped variables", "definition": "Ibr1 + Ibr2", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "C1 <>0", "maxRuns": 100}, "ungrouped_variables": ["L1", "L2", "C1", "C2", "XC1", "XC2", "Xl1", "Xl2", "Xbr1", "Xbr2", "Rbr1", "Rbr2", "Zbr1", "Zbr2", "Ibr1", "Ibr2", "Is"], "variable_groups": [{"name": "FreqUsedDefinitions", "variables": ["uF"]}, {"name": "Given in question", "variables": ["R1", "L1mH", "C1uF", "f", "Vs", "R2", "L2mH", "C2uF"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Branch 1", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Give units in your answer, e.g. deg, ohm, A, V, H or F</p>\n<p>Current in Branch 1,&nbsp;[[0]] at an angle of&nbsp;[[1]]</p>", "stepsPenalty": 0, "steps": [{"type": "information", "useCustomName": true, "customName": "Info on Zbr", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>First we must find the reactances of each capacitor and inductor in order to calculate the total reactance.&nbsp; $X_t=X_L-X_C$</p>\n<p>And then in the usual way determine the impedence of branch 1.&nbsp;$Z_t=R+jX_t$</p>\n<p></p>\n<p></p>"}, {"type": "engineering-answer", "useCustomName": true, "customName": "Zbr1-mag", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The magnitude is (give units)</p>", "settings": {"correctAnswer": "qty(abs(Zbr1),'ohm')", "right": "2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "engineering-answer", "useCustomName": true, "customName": "Zbr1-ph", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Phase is&nbsp;</p>", "settings": {"correctAnswer": "qty(arg(Zbr1)*(180/pi),'deg')", "right": "2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "information", "useCustomName": true, "customName": "OhmsLaw", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Then determine the current. The voltage accross the branch is teh same as the srouce voltage so we can say</p>\n<p>$Ibranch = Vs/Zbranch$</p>"}], "gaps": [{"type": "engineering-answer", "useCustomName": true, "customName": "Ibranch1- mag", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(abs(Ibr1),'A')", "right": "2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "engineering-answer", "useCustomName": true, "customName": "Ibranch1- ph", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(arg(Ibr1)*(180/pi),'deg')", "right": "2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Branch 2", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Give units in your answer, e.g. deg, ohm, A, V, H or F</p>\n<p>Current in Branch 2,&nbsp;[[0]] at an angle of&nbsp;[[1]]</p>", "stepsPenalty": 0, "steps": [{"type": "information", "useCustomName": true, "customName": "Z of branch", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>First we must find the reactances of each capacitor and inductor in order to calculate the total reactance.&nbsp; $X_t=X_L-X_C$</p>\n<p>And then in the usual way determine the impedence of branch 1.&nbsp;$Z_t=R+jX_t$</p>"}, {"type": "engineering-answer", "useCustomName": true, "customName": "Zbr2-mag", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>First we must find the reactances of each capacitor and inductor. calculate the total reactance. And then in the usual way determine the impedence of branch&nbsp;2.&nbsp;</p>\n<p>The magnitude is&nbsp; (give units)</p>", "settings": {"correctAnswer": "qty(abs(Zbr1),'ohm')", "right": "2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "engineering-answer", "useCustomName": true, "customName": "Zbr1-ph", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>First we must find the reactances of each capacitor and inductor. calculate the total reactance. And then in the usual way determine the impedence of branch 2.&nbsp;</p>\n<p>The phase is&nbsp; (give units)</p>", "settings": {"correctAnswer": "qty(arg(Zbr1)*(180/pi),'ohm')", "right": "2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "information", "useCustomName": true, "customName": "Ohms Law", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Then determine the current. The voltage accross the branch is teh same as the srouce voltage so we can say</p>\n<p>$Ibranch = Vs/Zbranch$</p>"}], "gaps": [{"type": "engineering-answer", "useCustomName": true, "customName": "Ibranch2- mag", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(abs(Ibr2),'A')", "right": "2", "close": "5", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "engineering-answer", "useCustomName": true, "customName": "Ibranch2- ph", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(arg(Ibr2)*(180/pi),'deg')", "right": "2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Source Current", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><em>(Include units in your answer e.g. 9.99 ohm, 9.99 A, 9.99 V and 99.9 deg)</em>&nbsp; &nbsp; The magnitude, $|Is|$ =&nbsp;[[0]]&nbsp;at an angle of&nbsp;[[1]]</p>", "stepsPenalty": 0, "steps": [{"type": "information", "useCustomName": true, "customName": "1. Hint", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>There are two ways to find the current here.</p>\n<p>Method 1: In a parrallel circuit, the current comes out of the souce and splits some going through Branch1 and the rest goes through branch2.&nbsp; So we have&nbsp; $I_s=I_{branch1} + I_{branch2}$. Of course we have to remember that these currents are all complex and have a magnitude and phase.</p>\n<p>Method 2: Find the total impedance of the two branches by $1/Z_{total}=1/Z_{branch1} + 1/Z_{branch2}$&nbsp; and hence, use ohms law to find $I_s=V_s/Z_{total}$</p>\n<p>In this case, since we have already found $I_{branch1}$ and $ I_{branch2}$, it is quickest just to add them.</p>"}], "gaps": [{"type": "engineering-answer", "useCustomName": true, "customName": "Is Mag", "marks": "5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(abs(Is),'A')", "right": "2", "close": "5", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "engineering-answer", "useCustomName": true, "customName": "Is Deg", "marks": "5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(arg(Is)*(180/pi),'ohm')", "right": "2", "close": "5", "C1": "75", "C2": "50", "C3": "25"}}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question", "contributors": [{"name": "William Haynes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2530/"}, {"name": "Judy Rea", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/8753/"}], "resources": []}]}], "contributors": [{"name": "William Haynes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2530/"}, {"name": "Judy Rea", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/8753/"}]}