AP7. For the circuit shown below, solve for I0. a. Using Nodal Analysis b. Using Mesh Analysis c. Using Superposition 2kΩ WWM 4kΩ 8kΩ 12Ω 7/12kΩ (2024)

`); let searchUrl = `/search/`; history.forEach((elem) => { prevsearch.find('#prevsearch-options').append(`

${elem}

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  • ${book_segment.title}
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Make an ajax call to the server and get the search database. let databaseUrl = `/search/whiletype_database/`; let resp = single_whiletyping_ajax_promise; if (resp === null) { whiletyping_database_initial_burst = whiletyping_database_initial_burst + 1; single_whiletyping_ajax_promise = resp = new Promise((resolve, reject) => { $.ajax({ url: databaseUrl, type: 'POST', data:{csrfmiddlewaretoken: "DGW9s1BViJ2JhXbfm5iMqCcP3nQ3htpkJlaBX6R16GOnyVpHog25ILMzu3PxWw8r"}, success: function (data) { // 3. verify that the elements of the database exist and are arrays if ( ('books' in data) && ('curriculum' in data) && ('topics' in data) && Array.isArray(data.books) && Array.isArray(data.curriculum) && Array.isArray(data.topics)) { localforage.setItem('whiletyping_last_success', (new Date()).getTime()); localforage.setItem('whiletyping_database', data); resolve(data); } }, error: function (error) { console.log(error); resolve(null); }, complete: function (data) { single_whiletyping_ajax_promise = null; } }) }); } return resp; } return Promise.resolve(null); }).catch(function(err) { console.log(err); return Promise.resolve(null); }); } function get_whiletyping_search_object() { // gets the fuse objects that will be in charge of the search if (whiletyping_search_object){ return Promise.resolve(whiletyping_search_object); } database_promise = localforage.getItem('whiletyping_database').then(function(database) { return localforage.getItem('whiletyping_last_success').then(function(last_success) { if (database==null || (new Date()) - (new Date(last_success)) > 1000*60*60*24*30 || (new Date('2023-04-25T00:00:00')) - (new Date(last_success)) > 0) { // New database update return get_whiletyping_database().then(function(new_database) { if (new_database) { database = new_database; } return database; }); } else { return Promise.resolve(database); } }); }); return database_promise.then(function(database) { if (database) { const options = { isCaseSensitive: false, includeScore: true, shouldSort: true, // includeMatches: false, // findAllMatches: false, // minMatchCharLength: 1, // location: 0, threshold: 0.2, // distance: 100, // useExtendedSearch: false, ignoreLocation: true, // ignoreFieldNorm: false, // fieldNormWeight: 1, keys: [ "title" ] }; let curriculum_index={}; let topics_index={}; database.curriculum.forEach(c => curriculum_index[c.id]=c); database.topics.forEach(t => topics_index[t.id]=t); for (j=0; j

    Solutions
  • Textbooks
  • `); } function build_solutions() { if (Array.isArray(solution_search_result)) { const viewAllHTML = userSubscribed ? `View All` : ''; var solutions_section = $(`
  • Solutions ${viewAllHTML}
  • `); let questionUrl = "/questions/xxx/"; let askUrl = "/ask/question/xxx/"; solution_search_result.forEach((elem) => { let url = ('course' in elem)?askUrl:questionUrl; let solution_type = ('course' in elem)?'ask':'question'; let subtitle = ('course' in elem)?(elem.course??""):(elem.book ?? "")+"    "+(elem.chapter?"Chapter "+elem.chapter:""); solutions_section.find('#whiletyping-solutions').append(` ${elem.text} ${subtitle} `); }); $('#search-solution-options').empty(); if (Array.isArray(solution_search_result) && solution_search_result.length>0){ $('#search-solution-options').append(solutions_section); } MathJax.typesetPromise([document.getElementById('search-solution-options')]); } } function build_textbooks() { $('#search-pretype-options').empty(); $('#search-pretype-options').append($('#search-solution-options').html()); if (Array.isArray(textbook_search_result)) { var books_section = $(`
  • Textbooks View All
  • `); let searchUrl = "/books/xxx/"; textbook_search_result.forEach((elem) => { books_section.find('#whiletyping-books').append(` ${elem.title} ${ordinal(elem.edition)} ${elem.author} `); }); } if (Array.isArray(textbook_search_result) && textbook_search_result.length>0){ $('#search-pretype-options').append(books_section); } } function build_popup(first_time = false) { if ($('#search-text').val()=='') { build_pretype(); } else { solution_and_textbook_search(); } } var search_text_out = true; var search_popup_out = true; const is_login = false; const user_hash = null; function pretype_setup() { $('#search-text').focusin(function() { $('#search-popup').addClass('show'); resize_popup(); search_text_out = false; }); $( window ).resize(function() { resize_popup(); }); $('#search-text').focusout(() => { search_text_out = true; if (search_text_out && search_popup_out) { $('#search-popup').removeClass('show'); } }); $('#search-popup').mouseenter(() => { search_popup_out = false; }); $('#search-popup').mouseleave(() => { search_popup_out = true; if (search_text_out && search_popup_out) { $('#search-popup').removeClass('show'); } }); $('#search-text').on("keyup", delay(() => { build_popup(); }, 200)); build_popup(true); let prevbookUrl = `/search/pretype_books/`; let prebooks = null; try { prebooks = JSON.parse(localStorage.getItem('PRETYPE_BOOKS_'+(is_login?user_hash:'ANON'))); }catch(e) {} if (prebooks && 'previous_books' in prebooks && 'recommended_books' in prebooks) { if (is_login) { previous_books = prebooks.previous_books; recommended_books = prebooks.recommended_books; if (prebooks.time && new Date().getTime()-prebooks.time<1000*60*60*6) { build_popup(); return; } } else { anon_pretype(); return; } } $.ajax({ url: prevbookUrl, method: 'POST', data:{csrfmiddlewaretoken: "DGW9s1BViJ2JhXbfm5iMqCcP3nQ3htpkJlaBX6R16GOnyVpHog25ILMzu3PxWw8r"}, success: function(response){ previous_books = response.previous_books; recommended_books = response.recommended_books; if (is_login) { localStorage.setItem('PRETYPE_BOOKS_'+user_hash, JSON.stringify({ previous_books: previous_books, recommended_books: recommended_books, time: new Date().getTime() })); } build_popup(); }, error: function(response){ console.log(response); } }); } $( document ).ready(pretype_setup); $( document ).ready(function(){ $('#search-popup').on('click', '.search-view-item', function(e) { e.preventDefault(); let autoCompleteSearchViewUrl = `/search/autocomplete_search_view/`; let objectUrl = $(this).attr('href'); let selectedId = $(this).data('objid'); let searchResults = []; $("#whiletyping-solutions").find("a").each(function() { let is_selected = selectedId === $(this).data('objid'); searchResults.push({ objectId: $(this).data('objid'), contentType: $(this).data('contenttype'), category: $(this).data('category'), selected: is_selected }); }); $("#whiletyping-books").find("a").each(function() { let is_selected = selectedId === $(this).data('objid'); searchResults.push({ objectId: $(this).data('objid'), contentType: $(this).data('contenttype'), category: $(this).data('category'), selected: is_selected }); }); $.ajax({ url: autoCompleteSearchViewUrl, method: 'POST', data:{ csrfmiddlewaretoken: "DGW9s1BViJ2JhXbfm5iMqCcP3nQ3htpkJlaBX6R16GOnyVpHog25ILMzu3PxWw8r", query: $('#search-text').val(), searchObjects: JSON.stringify(searchResults) }, dataType: 'json', complete: function(data){ window.location.href = objectUrl; } }); }); });
    AP7. For the circuit shown below, solve for I0.
    a. Using Nodal Analysis
    b. Using Mesh Analysis
    c. Using Superposition

    2kΩ
    WWM 4kΩ
    8kΩ
    12Ω
    7/12kΩ (2024)

    FAQs

    How do you calculate mesh and nodal analysis? ›

    Mesh analysis steps are the following:
    1. Assign mesh currents to all the meshes in a circuit.
    2. Apply Kirchhoff's voltage Law to each mesh. Apply Ohm's Law to determine voltages with mesh currents.
    3. To resolve simultaneously all the equations to consider mesh currents.
    Jan 9, 2018

    How do you know when to use mesh analysis or nodal analysis? ›

    Nodal analysis is simpler when there are more nodes than meshes, or when there are voltage sources or dependent sources that are not in series with a resistor. Mesh analysis is simpler when there are more meshes than nodes, or when there are current sources or dependent sources that are not in parallel with a resistor.

    What is nodal analysis a method through which the nodal ________ of a network can be determined? ›

    Nodal analysis is a method for calculating the voltage at the connections, called nodes, between components in an electric circuit.

    What is the formula for nodal analysis? ›

    Nodal analysis relies on the application of Kirchhoff's current law to create a series of node equations that can be solved for node voltages. These equations are based on Ohm's law and will be of the form I=V/R, or more generally, I=(1/RX)⋅VA+(1/RY)⋅VB

    What is mesh and nodal analysis of AC circuits? ›

    While nodal analysis uses Kirchhoff's current law to create a series of current summations at various nodes, mesh analysis uses Kirchhoff's voltage law to create a series of loop equations that can be solved for mesh currents.

    How to calculate current in mesh analysis? ›

    The steps of the Mesh Current Method are,
    1. Identify the meshes (the open windows of a circuit). ...
    2. Solve the easy meshes, the ones that pass through a constant current source.
    3. Write Kirchhoff's Voltage Law around each mesh. ...
    4. Solve the system of equations.
    5. Solve for element currents and voltages using Ohm's Law.

    How to use nodal analysis in a circuit? ›

    Procedure
    1. Note all connected wire segments in the circuit. ...
    2. Select one node as the ground reference. ...
    3. Assign a variable for each node whose voltage is unknown. ...
    4. For each unknown voltage, form an equation based on Kirchhoff's Current Law (i.e. add together all currents leaving from the node and mark the sum equal to zero).

    What is the difference between nodal and mesh? ›

    The only distinction between mesh and nodal analysis is that nodal analysis uses Kirchhoff's current law to calculate voltages at each node in an equation. Mesh analysis, on the other hand, is a method for calculating current that employs Kirchhoff's voltage law.

    How do you identify nodes in nodal analysis? ›

    To identify the principal nodes and select one of them as a reference node. This reference node will be treated as the ground. Step 2: All the node voltages with respect to the ground from all the principal nodes should be labelled except the reference node.

    Why do we use nodal analysis? ›

    We use nodal analysis on circuits to obtain multiple KCL equations which are used to solve for voltage and current in a circuit. The number of KCL equations required is one less than the number of nodes that a circuit has. The extra node may be referred to as a Page 4 reference node.

    Why do we use mesh analysis? ›

    Mesh analysis is a powerful as well as a general method for solving for the unknown currents and voltages in any circuit. Once the loop currents are found, the problem is solved, as then any current in the circuit can be determined from the loop currents.

    How to identify nodes in a circuit? ›

    To identify the essential nodes, draw the circuit diagram and label the sources and elements. Then, mark each branch with different colors or symbols. Count the number of branches that meet at each node; if it is two or less, it is not an essential node.

    How do you calculate mesh? ›

    Count the number of openings in one inch of screen (United States mesh size). The number of openings is the mesh size. So a 4-mesh screen means there are four little squares across one linear inch of screen. A 100-mesh screen has 100 openings, and so on.

    What is the formula for calculating mesh topology? ›

    The mesh topology arrangement includes a point-to-point link between each node. A mesh topology network is seen in the image below. The formula w = n * (n - 1) / 2, where w is the number of WAN (wide area network) links and n is the number of sites, can be used to determine the number of necessary WAN connections.

    How do you calculate the quantity of mesh? ›

    How to Estimate Concrete Reinforcement Mesh
    1. area = length × width.
    2. mesh needed = slab area ÷ mesh area.
    3. lapping percentage = overlap ÷ reinforcement width.

    How do you calculate nodal? ›

    Nodal analysis is an application of Kirchhoff's current law. When there are 'n' nodes in a given electrical circuit, there will be 'n-1' simultaneous equations to be solved. To obtain all the node voltages, 'n-1' should be solved. The number of non-reference nodes and the number of nodal equations obtained are equal.

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