{"product_id":"digital-product-23","title":"17. D.C. Circuits","description":"\u003ch1 data-path-to-node=\"2\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"2\"\u003eD.C. Circuits: Complete Network Analysis \u0026amp; Potential Divider Mastery Bundle\u003c\/b\u003e\u003c\/h1\u003e\n\u003ch3 data-path-to-node=\"3\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"3\"\u003eStop Guessing the Branch Voltages. Master Electrical Networks.\u003c\/b\u003e\u003c\/h3\u003e\n\u003cp data-path-to-node=\"4\"\u003eWhy do students lose marks on D.C. Circuits? It’s rarely because they don't know the symbols for resistors. It’s because examiners love to test \u003cb data-index-in-node=\"144\" data-path-to-node=\"4\"\u003einterdependent circuit changes\u003c\/b\u003e—forcing students to calculate how throwing a switch alters the brightness of a bulb, determine the potential at a specific node in a bridge circuit, or predict how a potential divider circuit responds to changing environmental temperatures and light levels.\u003c\/p\u003e\n\u003cp data-path-to-node=\"5\"\u003eFailing to recognize that current takes the path of least resistance through a short circuit, or getting completely turned around by the math of non-linear components, will instantly break a student's score on multi-part structured questions. Our \u003cb data-index-in-node=\"247\" data-path-to-node=\"5\"\u003eD.C. Circuits Master Bundle\u003c\/b\u003e replaces chaotic guesswork with a rigorous, step-by-step schematic analysis framework.\u003c\/p\u003e\n\u003ch3 data-path-to-node=\"7\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"7\"\u003eWhat’s Included in This Digital Pack?\u003c\/b\u003e\u003c\/h3\u003e\n\u003ch4 data-path-to-node=\"8\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"8\"\u003e1. High-Yield Revision Notes (PDF)\u003c\/b\u003e\u003c\/h4\u003e\n\u003cul data-path-to-node=\"9\"\u003e\n\u003cli\u003e\n\u003cp data-path-to-node=\"9,0,0\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"9,0,0\"\u003eThe Network Analysis Blueprint:\u003c\/b\u003e Master the absolute laws governing electrical nodes and loops. Learn how to systematically simplify hybrid series-parallel configurations into manageable equivalent resistances.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp data-path-to-node=\"9,1,0\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"9,1,0\"\u003eThe Potential Divider Engine:\u003c\/b\u003e A bulletproof guide to understanding voltage-splitting networks. Master the ratio formula that controls how input voltage (\u003cspan data-index-in-node=\"153\" data-math=\"V_{\\text{in}}\" class=\"math-inline\"\u003e\u003cspan class=\"katex\"\u003e\u003cspan aria-hidden=\"true\" class=\"katex-html\"\u003e\u003cspan class=\"base\"\u003e\u003cspan class=\"strut\"\u003e\u003c\/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mord mathnormal\"\u003eV\u003c\/span\u003e\u003cspan class=\"msupsub\"\u003e\u003cspan class=\"vlist-t vlist-t2\"\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\"\u003e\u003cspan class=\"\"\u003e\u003cspan class=\"pstrut\"\u003e\u003c\/span\u003e\u003cspan class=\"sizing reset-size6 size3 mtight\"\u003e\u003cspan class=\"mord mtight\"\u003e\u003cspan class=\"mord text mtight\"\u003ein\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"vlist-s\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\"\u003e\u003cspan class=\"\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e) distributes across series components to deliver an output voltage (\u003cspan data-index-in-node=\"235\" data-math=\"V_{\\text{out}}\" class=\"math-inline\"\u003e\u003cspan class=\"katex\"\u003e\u003cspan aria-hidden=\"true\" class=\"katex-html\"\u003e\u003cspan class=\"base\"\u003e\u003cspan class=\"strut\"\u003e\u003c\/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mord mathnormal\"\u003eV\u003c\/span\u003e\u003cspan class=\"msupsub\"\u003e\u003cspan class=\"vlist-t vlist-t2\"\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\"\u003e\u003cspan class=\"\"\u003e\u003cspan class=\"pstrut\"\u003e\u003c\/span\u003e\u003cspan class=\"sizing reset-size6 size3 mtight\"\u003e\u003cspan class=\"mord mtight\"\u003e\u003cspan class=\"mord text mtight\"\u003eout\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"vlist-s\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\"\u003e\u003cspan class=\"\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e):\u003c\/p\u003e\n\u003cdiv data-path-to-node=\"9,1,1\"\u003e\n\u003cdiv data-math=\"V_{\\text{out}} = \\left( \\frac{R_2}{R_1 + R_2} \\right) \\times V_{\\text{in}}\" class=\"math-block\"\u003e\u003cspan class=\"katex-display\"\u003e\u003cspan class=\"katex\"\u003e\u003cspan aria-hidden=\"true\" class=\"katex-html\"\u003e\u003cspan class=\"base\"\u003e\u003cspan class=\"strut\"\u003e\u003c\/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mord mathnormal\"\u003eV\u003c\/span\u003e\u003cspan class=\"msupsub\"\u003e\u003cspan class=\"vlist-t vlist-t2\"\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\"\u003e\u003cspan class=\"\"\u003e\u003cspan class=\"pstrut\"\u003e\u003c\/span\u003e\u003cspan class=\"sizing reset-size6 size3 mtight\"\u003e\u003cspan class=\"mord mtight\"\u003e\u003cspan class=\"mord text mtight\"\u003eout \u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"vlist-s\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\"\u003e\u003cspan class=\"\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"mspace\"\u003e\u003c\/span\u003e\u003cspan class=\"mrel\"\u003e= [\u003c\/span\u003e\u003cspan class=\"mspace\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"base\"\u003e\u003cspan class=\"strut\"\u003e\u003c\/span\u003e\u003cspan class=\"minner\"\u003e\u003cspan class=\"mopen delimcenter\"\u003e\u003cspan class=\"delimsizing size3\"\u003e(\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mopen nulldelimiter\"\u003e\u003c\/span\u003e\u003cspan class=\"mfrac\"\u003e\u003cspan class=\"vlist-t vlist-t2\"\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\"\u003e\u003cspan class=\"\"\u003e\u003cspan class=\"pstrut\"\u003e\u003c\/span\u003e\u003cspan class=\"mord mathnormal\"\u003eR\u003c\/span\u003e\u003cspan class=\"msupsub\"\u003e\u003cspan class=\"pstrut\"\u003e\u003c\/span\u003e\u003cspan class=\"sizing reset-size6 size3 mtight\"\u003e\u003cspan class=\"mord mtight\"\u003e1 \u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"vlist-s\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"mspace\"\u003e\u003c\/span\u003e\u003cspan class=\"mbin\"\u003e+ \u003c\/span\u003e\u003cspan class=\"mspace\"\u003e\u003c\/span\u003e\u003cspan class=\"mord mathnormal\"\u003eR\u003c\/span\u003e\u003cspan class=\"msupsub\"\u003e\u003cspan class=\"pstrut\"\u003e\u003c\/span\u003e\u003cspan class=\"sizing reset-size6 size3 mtight\"\u003e\u003cspan class=\"mord mtight\"\u003e2)\/\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"\"\u003e\u003cspan class=\"mord mathnormal\"\u003eR\u003c\/span\u003e\u003cspan class=\"msupsub\"\u003e\u003cspan class=\"pstrut\"\u003e\u003c\/span\u003e\u003cspan class=\"sizing reset-size6 size3 mtight\"\u003e\u003cspan class=\"mord mtight\"\u003e2] \u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"vlist-s\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"vlist-s\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\"\u003e\u003cspan class=\"\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"mclose nulldelimiter\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"mspace\"\u003e\u003c\/span\u003e\u003cspan class=\"mbin\"\u003e× \u003c\/span\u003e\u003cspan class=\"mspace\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"base\"\u003e\u003cspan class=\"strut\"\u003e\u003c\/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mord mathnormal\"\u003eV\u003c\/span\u003e\u003cspan class=\"msupsub\"\u003e\u003cspan class=\"vlist-t vlist-t2\"\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\"\u003e\u003cspan class=\"\"\u003e\u003cspan class=\"pstrut\"\u003e\u003c\/span\u003e\u003cspan class=\"sizing reset-size6 size3 mtight\"\u003e\u003cspan class=\"mord mtight\"\u003e\u003cspan class=\"mord text mtight\"\u003ein\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"vlist-s\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\"\u003e\u003cspan class=\"\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp data-path-to-node=\"9,2,0\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"9,2,0\"\u003eSensory Input Circuits Decoded:\u003c\/b\u003e Complete structural analyses of automation circuits. Learn exactly how \u003cb data-index-in-node=\"103\" data-path-to-node=\"9,2,0\"\u003eThermistors\u003c\/b\u003e and \u003cb data-index-in-node=\"119\" data-path-to-node=\"9,2,0\"\u003eLight-Dependent Resistors (LDRs)\u003c\/b\u003e are deployed in potential dividers to build automatic fire alarms, frost warning devices, and darkness-activated street lighting.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp data-path-to-node=\"9,3,0\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"9,3,0\"\u003eThe Potentiometer \u0026amp; Rheostat Matrix:\u003c\/b\u003e Understand the operational difference between continuous voltage dividers (potentiometers) and adjustable current limiters (variable resistors\/rheostats) in real-world circuits.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch4 data-path-to-node=\"10\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"10\"\u003e2. Exam-Ready Practice Worksheet (PDF + Answer Key)\u003c\/b\u003e\u003c\/h4\u003e\n\u003cul data-path-to-node=\"11\"\u003e\n\u003cli\u003e\n\u003cp data-path-to-node=\"11,0,0\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"11,0,0\"\u003eHybrid Network Equivalence Drills:\u003c\/b\u003e High-volume mathematical practice sheets requiring students to collapse complex \"staircase\" and \"bridge\" resistor networks into single equivalent values.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp data-path-to-node=\"11,1,0\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"11,1,0\"\u003eThe \"Node Potential\" Challenge Sheets:\u003c\/b\u003e Focused exercises training students to calculate the absolute electric potential at specific points along a circuit path relative to the \u003cspan data-index-in-node=\"176\" data-math=\"0\\text{ V}\" class=\"math-inline\"\u003e\u003cspan class=\"katex\"\u003e\u003cspan aria-hidden=\"true\" class=\"katex-html\"\u003e\u003cspan class=\"base\"\u003e\u003cspan class=\"strut\"\u003e\u003c\/span\u003e\u003cspan class=\"mord\"\u003e0\u003c\/span\u003e\u003cspan class=\"mord text\"\u003e\u003cspan class=\"mord\"\u003e V\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e ground line.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp data-path-to-node=\"11,2,0\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"11,2,0\"\u003eAutomated Sensor Output Calculations:\u003c\/b\u003e Multi-step problems where students are given ambient temperature or light resistance curves and must calculate the exact resulting output voltage (\u003cspan data-index-in-node=\"185\" data-math=\"V_{\\text{out}}\" class=\"math-inline\"\u003e\u003cspan class=\"katex\"\u003e\u003cspan aria-hidden=\"true\" class=\"katex-html\"\u003e\u003cspan class=\"base\"\u003e\u003cspan class=\"strut\"\u003e\u003c\/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mord mathnormal\"\u003eV\u003c\/span\u003e\u003cspan class=\"msupsub\"\u003e\u003cspan class=\"vlist-t vlist-t2\"\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\"\u003e\u003cspan class=\"\"\u003e\u003cspan class=\"pstrut\"\u003e\u003c\/span\u003e\u003cspan class=\"sizing reset-size6 size3 mtight\"\u003e\u003cspan class=\"mord mtight\"\u003e\u003cspan class=\"mord text mtight\"\u003eout\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"vlist-s\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\"\u003e\u003cspan class=\"\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e) of a circuit.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp data-path-to-node=\"11,3,0\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"11,3,0\"\u003eThe \"Short Circuit Trap\" Diagnostic Tasks:\u003c\/b\u003e Trick schematics specifically chosen to catch students who fail to notice bypass wires, preparing them perfectly for examiner traps.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp data-path-to-node=\"11,4,0\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"11,4,0\"\u003eFull Step-by-Step Solutions:\u003c\/b\u003e Every single network circuit diagram is overlaid with color-coded current paths and mathematical steps, showing exactly how equations are isolated, rearranged, and solved.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3 data-path-to-node=\"13\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"13\"\u003eWhy These Notes Get Results:\u003c\/b\u003e\u003c\/h3\u003e\n\u003cul data-path-to-node=\"14\"\u003e\n\u003cli\u003e\n\u003cp data-path-to-node=\"14,0,0\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"14,0,0\"\u003eSyllabus Aligned:\u003c\/b\u003e Rigorously optimized for the current Cambridge IGCSE (0625), O-Level (6091\/5054), AQA, and Edexcel international specifications.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp data-path-to-node=\"14,1,0\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"14,1,0\"\u003eVisual-First Layout:\u003c\/b\u003e Replaces long, dry blocks of text with high-contrast mechanical schematics, highlighted voltage-drop zones, and clear mathematical workflows.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp data-path-to-node=\"14,2,0\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"14,2,0\"\u003eDigital Stationery Friendly:\u003c\/b\u003e High-resolution, scalable PDFs optimized beautifully for \u003cb data-index-in-node=\"86\" data-path-to-node=\"14,2,0\"\u003eGoodNotes, Notability, or Samsung Notes\u003c\/b\u003e on iPads and tablets.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp data-path-to-node=\"14,3,0\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"14,3,0\"\u003eInstant Access:\u003c\/b\u003e Secure checkout with an immediate download link sent to your inbox—no waiting for physical shipping.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3 data-path-to-node=\"16\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"16\"\u003eStudent \u0026amp; Tutor Review\u003c\/b\u003e\u003c\/h3\u003e\n\u003cblockquote data-path-to-node=\"17\"\u003e\n\u003cp data-path-to-node=\"17,0\"\u003e\u003ci data-index-in-node=\"0\" data-path-to-node=\"17,0\"\u003e\"Potential divider questions with thermistors used to be a massive headache for my students. This packet breaks down the V-out ratio so clearly that they finally stopped mixing up the math. The worked answer keys are exceptionally clean and detailed.\"\u003c\/i\u003e — \u003cb data-index-in-node=\"254\" data-path-to-node=\"17,0\"\u003eDr. Evan M., International Physics Educator\u003c\/b\u003e\u003c\/p\u003e\n\u003c\/blockquote\u003e\n\u003ch3 data-path-to-node=\"19\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"19\"\u003eProduct Specifications:\u003c\/b\u003e\u003c\/h3\u003e\n\u003cul data-path-to-node=\"20\"\u003e\n\u003cli\u003e\n\u003cp data-path-to-node=\"20,0,0\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"20,0,0\"\u003eFormat:\u003c\/b\u003e 1 x Comprehensive Revision Notes PDFs, 2 x MCQs with Answer PDFs and 2 x Structured Questions with Fully Solved Solutions PDFs.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp data-path-to-node=\"20,3,0\"\u003e\u003cb data-index-in-node=\"0\" data-path-to-node=\"20,3,0\"\u003ePrice:\u003c\/b\u003e \u003cb data-index-in-node=\"7\" data-path-to-node=\"20,3,0\"\u003e$9.90\u003c\/b\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2 data-path-to-node=\"21\"\u003e\n\u003cb data-index-in-node=\"0\" data-path-to-node=\"21\"\u003e[DOWNLOAD NOW \u0026amp; MASTER D.C. CIRCUITS]\u003c\/b\u003e\u003ci data-index-in-node=\"0\" data-path-to-node=\"25,3,0\"\u003e\u003c\/i\u003e\n\u003c\/h2\u003e","brand":"teachFoundry","offers":[{"title":"Default Title","offer_id":51676558917920,"sku":null,"price":9.9,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1002\/9734\/3264\/files\/Screenshot2026-05-20at8.53.33AM.png?v=1779257056","url":"https:\/\/teachfoundry.co\/products\/digital-product-23","provider":"teachFoundry","version":"1.0","type":"link"}