RLC Circuit Analysis 2

The Importance of Complex Number Knowledge
Application in RLC Circuit

Using the calculator shown below, teachers and students can simulate different scenarios just by changing any value in input box shown below.

Compute Current I₁, I₂, and I₃

🔗 Solve it once. Never forget.
From hand calculation to trusted automation—IN-V-BAT-AI makes learning effortless.

Important to remember inductive load is represented by + J and capacitive load - J . This knowledge is very important because of the complex number conjugate when you are doing complex number division. This calculator embedded that reactance rule + j L and - J C that affects the complex number conjugate. So be careful not to put negative sign in capacitive input box. It's already accounted for.

FORMULA RECALL: X_L = 2 π f L

X_L = * * *
X_L = Ω

FORMULA RECALL: - j B = - j / X_L = - 1/18.8496 Inductive Susceptance

- j B = mho

---

FORMULA RECALL: X_C = 1 / 2 π f C

X_C = 1 / * * *
X_C = Ω

FORMULA RECALL: + j B = + j / X_C = 1/26.5258 Capacitive Susceptance

+ j B = mho

---

FORMULA RECALL: G = 1 / R = 1/20 Conductance

G = mho

---

FORMULA RECALL: Y = G + j B = G + j (1/X_C -1/X_L ) Admittance

Y = + J ( - )

Y = + J mho

Y = ° mho ;
The admittance phase angle is negative, therefore the load is mostly inductive. The current will also have negative phase angle and the load power factor is lagging.

if Y admittance angle is ∠ + positive it means mostly capacitive load, the current phase angle is ahead or leading the voltage phase angle if you plot their sine waveform. So when you hear the power factor is leading, remember they are talking about power factor of the load which is mostly capacitive (leading current). Another clue to check to verify if the load is mostly capacitive is to look at the current phase angle you must expect to see a positive angle, 90 ° for purely capacitive load like shown above

if Y admittance angle is ∠ - negative it means mostly inductive load, the current phase angle is behind or lagging the voltage phase angle if you plot their sine waveform. So when you hear the power factor is lagging, remember they are talking about power factor of the load which is mostly inductive (lagging current). Another clue to check to verify if the load is mostly inductive is to look at the current phase angle you must expect to see a negative angle, - 90 ° for purely inductive load like shown above.

---

FORMULA RECALL: I = E * Y

I = * °

I = ° Amp ; The current phase angle is negative, therefore the load is mostly inductive load.

---

P = E * I * Cos θ = * * = Watts

Q = E * I * Sin θ = * * = Vars

Link to Pythagorean theorem calculator

---

FORMULA RECALL: I = E * G

I ₁= *
I ₁= Amp

FORMULA RECALL: I ₂ = E * Y ₂

I ₂= *

I ₂= + j

FORMULA RECALL: I ₃ = E * Y ₃

I ₃ = *
I ₃ =

I ₃= + j

---

FORMULA RECALL: I = E * Y

I = + j

I =

---

Initial, I = 2.615 ∠ -17 °

Initial, I ₁ = 2.5 ∠ 0 °

Initial, I ₂ = 1.885 ∠ 90 °

Initial, I ₃ = 2.655 ∠ -90 °

---

INITIAL DATA

C = 100 μ F

L = 0.05 H;

V = 50

F = 60 Hz

R20 = 20 Ω

🔗 270 🔗 141 🔗 142 🔗 286 🔗 231 🔗 319 🔗 321 🔗 322

🔗 67 🔗 336

.

.

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.

"🧠 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

From autopilot to co-pilot, IN-V-BAT-AI unites Trusted Automation Intelligence with Trusted Recall Intelligence — empowering teachers and learners to focus on creativity, understanding, and never forget what matters.

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.

.

.

.