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RLC Circuit Analysis
Complex Number Use in RLC Circuit
You are expected to learn how to :
Compute the current I expected flowing in any RLC circuit.
Then compute the equivalent load impedance, ZL so you can calculate the voltage drop
Then compute the expected voltage drop ED across terminal ZL
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IN-V-BAT-AI.
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: XL = 2 π f L
XL =
*
*
*
XL =
Ω
FORMULA RECALL: XC = 1 / 2 π f C
XC = 1 /
*
*
*
XC =
Ω
FORMULA RECALL: Z = R + J ( XL - XC )
Z =
+
+ J
(
-
)
Z =
+ J
Z =
°
FORMULA RECALL: I = E / Z
I =
/
°
I =
FORMULA RECALL: ZL = RL + J XL Load Impedance
ZL =
+ J
ZL =
if ZL ∠ - negative 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.
if ZL ∠ + positive 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.
FORMULA RECALL: E D = I * Z L Voltage Drop at Load Side
E D =
*
°
E D =
P = E * I * Cos θ =
*
*
=
Watts
Q = E * I * Sin θ =
*
*
=
Vars
Initial, I = 0.356 ∠ -58.57 °
Initial, Z L = 565.5 ∠ 89.5 °
Initial, E D = 201 ∠ 89.49 °
INITIAL DATA
L = 1.5 H
C = 40 μ F
R5 = 5 Ω
V = 208
F = 60 Hz
R300 = 300 Ω
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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:
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🧠 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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IN-V-BAT-AI just crossed 72,133 organic visits—no ads, just curiosity and word-of-mouth.
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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