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Circuit Analysis 1
Circuit Analysis Using KCL and KVL
Solve for I1, I2, and I3
Try changing the value of input. You will get automatic answer in blue button.
Remember: In manual calculation, you assume the direction of current flow. If the current value is negative it only means the direction of actual current flow is reverse.
Using LTSpice IV simulation to check the mathematical solution. Make sure the battery polarity ( + / - ) connection is reflecting the
actual wiring connection of the circuit you are trying to analyze.
SPICE default current flow starts from positive + battery terminal through negative - terminal.
Because of factory automation, it is now easier to do the circuit output testing.
I 1 +
I 2
+
I 3
=
Equation 1 for KCL at node A
I 1 +
I 2
+
I 3 =
Equation 2 for KVL at loop 1
I 1 +
I 2
+
I 3
=
Equation 3 for KVL at loop 2
A solved problem becomes trusted automation—saving time and accelerating decision-making.
I2 negative current only means the actual current flow is opposite to the assumed current flow. Do simulation by changing the value of R1, R2, R3, V1 and V2. Then watch the predicted current. Using the expected current output reading is one way to troubleshoot if there is a resistor value problem.
Answer, I 1(R1) = 1.158
Answer, I 2(R2) = -0.421
Answer, I 3(R3) = 0.737
PRACTICE SIMULATION: if you are troubleshooting the same circuit. Then you can update new values and check the expected values. if your actual test reading does not match the expected values then one of the components is defective. Today, you replace the whole circuit board if the expected output is no longer valid.
R1 = 2
R3 = 5
R2 = 4
V1 = 6
V2 = 2
Update any values of R1, R2, R3, V1, and V2 for troubleshooting. The equation will be updated for new data entry.
These are solved using Cramer's Rule; Keep in mind that sometimes Cramer's Rule doesn't work. Therefore always substitute the value of I 1, I 2, and I 3 to equation 1, 2, and 3 to check if they are valid answer.
To validate your answer substitute the values of I 1, I 2, and I 3 to your original equation 1 , equation 2, and equation 3. The answer must satisfy all the equations or the three specified constraint with very small error.
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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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| 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