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Circuit Analysis Using KCL and KVL
SOLVE FOR THE CURRENT VALUE OF X , Y, Z. You may wish to verify in your electronic lab kit the actual current flowing in each loop.
Application of four simultaneous linear equations
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X +
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Y +
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Z +
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W
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= At Node A, KCL
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X +
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Y +
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Z +
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W
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= At Node B, KCL
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4 X +
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2 Y +
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Z +
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W
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= 8 Loop 1 , KVL |
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X +
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2 Y +
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5 Z +
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W
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= 9 Loop 2, KVL |
INITIAL CONDITION:
Answer, X = 1 A
detX =
Answer, Y = 2 A detY =
Answer, Z = 1 A detZ =
Answer, W = detW =
determinant 4 x 4 =
Validate your answer by substituting the value of X, Y, and Z in original equations.
You need to complete all the input box then NaN (Not a Number) error message will be fixed. Automatic computation
| 4 Ω value change to 7 ohms | 4 Ω Loop 1 |
| 2 Ω value change to 20 ohms | 2 Ω Loop 1 |
| 3 Ω value change to 6 ohms | 3 Ω Loop 2 |
| 2 Ω value change to 8 ohms | 2 Ω Loop 2 |
| 8 volts value change to 10 volts | 8 Volts original |
| V9 value UNCHANGE | 9 Volts original |
Reviewer on how to compute for determinant value of 4 x 4 Matrix.
Acquiring knowledge and skill on how to solve for determinant of 4 x 4 matrix is important in solving any four simultaneous linear equation. In the above example, determinant X ( detX), detY, detZ, and detW were computed. Then following Cramer's Rule, the solution for value of X, Y , Z, and W can be calculated. Doing this calculation by hand is very time consuming but thanks to computer and internet advancement, it is now possible to solve this problem in less than a minute using your smartphone. Now our brain can be used for higher level of thinking such as scenario analyis and decision making.
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IN-V-BAT-AI helps you recall information on demand—even when daily worries block your memory. It organizes your knowledge to make retrieval and application easier.
Source: How People Learn II: Learners, Contexts, and Cultures
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How can IN-V-BAT-AI be used in classrooms ?
IN-V-BAT-AI is a valuable classroom tool that enhances both teaching and learning experiences. Here are some ways it can be utilized:
☑️ Personalized Learning : By storing and retrieving knowledge in the cloud, students can access tailored resources and revisit
concepts they struggle with, ensuring a more individualized learning journey.
☑️ Memory Support : The tool helps students recall information even when stress or distractions hinder their memory, making it
easier to retain and apply knowledge during homework assignments or projects.
☑️ Bridging Learning Gaps : It addresses learning loss by providing consistent access to educational materials, ensuring that
students who miss lessons can catch up effectively.
☑️ Teacher Assistance : Educators can use the tool to provide targeted interventions to support learning.
☑️ Stress Reduction : By alleviating the pressure of memorization, students can focus on understanding and applying concepts,
fostering a deeper engagement with the material.
🧠 IN-V-BAT-AI vs. Traditional EdTech: Why "Never Forget" Changes Everything
📚 While most EdTech platforms focus on delivering content or automating classrooms, IN-V-BAT-AI solves a deeper problem: forgetting.
✨Unlike adaptive learning systems that personalize what you learn, IN-V-BAT-AI personalizes what you remember. With over 504 pieces of instantly retrievable knowledge, it's your cloud-based memory assistant—built for exam prep, lifelong learning, and stress-free recall.
📧 No coding, no hosting—just email what you want to remember
📱 Live within 24 hours, optimized for mobile and voice search
💸 $30/year for 504 personalized memory recall sites (just 6¢ each)
"🧠 Forget less. Learn more. Remember on demand."
That's the IN-V-BAT-AI promise.
🧠 Augmented Intelligence vs Artificial Intelligence
Understanding the difference between collaboration and automation
🔍 Messaging Contrast
Augmented Intelligence is like a co-pilot: it accelerates problem-solving through trusted automation and decision-making, helping you recall, analyze, and decide — but it never flies solo.
Artificial Intelligence is more like an autopilot: designed to take over the controls entirely, often without asking.
💡 Why It Matters for IN-V-BAT-AI
IN-V-BAT-AI is a textbook example of Augmented Intelligence. It empowers learners with one-click recall, traceable results, and emotionally resonant memory tools. Our “Never Forget” promise isn't about replacing human memory — it's about enhancing it.
Note: This is not real data — it is synthetic data generated using Co-Pilot to compare and contrast IN-V-BAT-AI with leading EdTech platforms.
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🎉 72,133 Visitors 11/14/25
IN-V-BAT-AI just crossed 72,133 organic visits—no ads, just curiosity and word-of-mouth.
Every visit is a step toward forgetting less, recalling faster, and remembering on demand.
Never Forget. Learn on demand.
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$30 per year
| Year | Top 10 countries | Pages visited |
| 2023 | 1. USA 2. Great Britain 3. Germany 4. Canada 5. Iran 6. Netherlands 7. India 8. China 9. Australia 10. Philippines | 127,256 Pages / 27,541 Visitors |
| 2024 | 1. USA 2. China 3. Canada 4. Poland 5. India 6. Philippines 7. Great Britain 8. Australia 9. Indonesia 10. Russia | 164,130 Pages / 40,724 Visitors |
| Daily Site Visitor Ranking 11/14/2025 | 1. Israel 2. USA 3. China 4. Vietnam 5. Japan 6. India 7. Australia 8. Argentina 9. Brazil 10. Ukraine | Year to Date 204,611 Pages / 72,133 Visitors |
Data source: Advanced Web Statistics 7.8
Approximately between 2.3 and 2.5 million schools globally, according to the latest available data from government and education ministry reports.
🔗 The challenges schools face: 2025/2026 🔗 USA ~ Public 98,500 ~ Private 30,000 ~ Total 128,500 🔗 Canada ~ Public 15,500 ~ Private 2,000 ~ Total 17,500 🔗 Brazil ~ Public 138,000 ~ Private 40,000 ~ Total 178,000 🔗 Vietnam ~ Public 42,000 ~ Private 8,000 ~ Total 50,000 🔗 China ~ Public 217,200 ~ Private 152,800 ~ Total 470,000 🔗 India ~ Public 1,022,386 ~ Private 335,844 ~ Total 1,358,230 🔗 Japan ~ Public 30,240 ~ Private included ~ Total 30,240 🔗 Morocco ~ Public 20,600 ~ Private 6,300 ~ Total 26,900 🔗 Indonesia ~ Public 390,718 ~ Private included ~ Total 390,718 🔗 Philippines ~ Public 47,831 ~ Private 13,000 ~ Total 60,831 🔗 Great Britain ~ Public 29,202 ~ Private included ~ Total 29,202 🔗 Australia ~ Public 9,653 ~ Private included ~ Total 9,653 🔗 Russia ~ Public 39,070 ~ Private included ~ Total 39,070 🔗 Germany ~ Public 31,039 ~ Private included ~ Total 31,039 🔗 Poland ~ Public 36,291 ~ Private included ~ Total 36,291 🔗 Iran ~ Public 80,000 ~ Private included ~ Total 80,000 🔗 France ~ Public 58,100 ~ Private included ~ Total 58,100 🔗 Mexico ~ Public 132,505 ~ Private included ~ Total 132,505