Master Complex Numbers: Impedance & Cryptography for First-Year Math (2025 PTB) 🌟

📘 Welcome to Maths Aura – Less Complexity, More Clarity!
🌟 The Aura of Easy Mathematics!

In this lecture, we cover Exercise 1.5 (Q18 to Q22) from Chapter 1: Complex Numbers – based on the New Syllabus 2025 by Punjab Textbook Board (PTB). This session features both real-world math and modern concepts like:

- Impedance in AC Circuits using complex numbers
- Ohm’s Law in Polar Form (Z = R + iX)
- Cryptography using Complex Encryption & Decryption
- Word-based problems like CODE, QUIZ, CLASS with encryption keys

🎯 Ideal for FSc and ICS students preparing for 1st Year Board Exams.

🧠 Questions Solved:
Q18 – Current in Polar Form
Q19 – Current in Rectangular and Polar Form
Q20 – Encrypt & Decrypt "CODE"
Q21 – Encrypt & Decrypt "QUIZ"
Q22 – Encrypt & Decrypt "CLASS"

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📌 Subscribe to the channel: https://www.youtube.com/@MathsAura-j1f
📚 Playlist – 1st Year Math 2025 Full Course:
👉 https://www.youtube.com/watch?v=YVhpAi_wNo4&list=PLH5fvgtrabBar30YIbBe6S7hocZkZW9l5&pp=gAQB

📞 Contact Sir Azhar Riaz Hunjra: 0310-4485950
🎓 Lecturer | KIPS College Sheikhupura | YouTuber | Educator

⏱️ Timestamps:
00:00 – Introduction (Impedance + Cryptography Overview)
01:48 – Real World Application of AC Circuit Impedance
05:48 – Q18: Polar Form Current Solution
11:00 – Q19: Rectangular & Polar Form Current
15:27 – Intro to Cryptography
20:58 – Q20: Encrypt + Decrypt "CODE"
25:52 – Q21: Encrypt + Decrypt "QUIZ"
30:31 – Q22: Encrypt + Decrypt "CLASS"


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