Electrostatic Potential Energy Derivation | System of Charges | Part 6 | Class 12 Physics
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Загружено: 2026-01-23
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Electrostatic Potential Energy Derivation | System of Charges | Part 6 | Class 12 Physics
Welcome back, Champions! Today, we are turning into "Energy Bankers." We are not just looking at single charges anymore; we are building a whole system! In this video, we cover the essential derivation for the Potential Energy of a System of Charges—a favorite topic for Board Examiners.
We will calculate exactly how much work is done to assemble charges from infinity and store it as energy. Plus, we will learn the "Pair Counting" trick so you never miss a diagonal in numericals again.
Key Learning Outcomes:
The Construction Project: Understanding Potential Energy as Work Done.
Sign Conventions: Why Like Charges = Positive Energy & Unlike Charges = Negative Energy.
Core Derivation: Potential Energy of a Two-Charge System ($U = k q_1 q_2 / r$).
Superposition Principle: How to handle Triangles and Squares.
The Golden Formula: Using $n(n-1)/2$ to count pairs correctly.
Numerical Solving: Step-by-step solution for charges on an axis.
Inspector's Warning: Avoiding the "Missing Diagonal" mistake.
Timestamps:
0:00 - Introduction: The Charge Construction Project
1:45 - Defining Electrostatic Potential Energy
3:30 - Positive vs. Negative Energy (Attraction vs. Repulsion)
5:00 - Derivation: Energy of Two Point Charges
7:15 - System of Multiple Charges (Superposition)
9:00 - The Pair Counting Formula: n(n-1)/2
10:45 - Square Geometry: Don't Forget the Diagonals!
12:30 - Solved Numerical: Charges on X-Axis
14:45 - Common Exam Mistakes (Signs & Units)
16:15 - Summary & What's Next (External Fields)
Link to Full Electrostatics Playlist : • Physics 12 : ELECTROSTATICS | Maharashtra ...
Notes & Assignments: https://selfstudy.com/class12-physics
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#Class12Physics #PotentialEnergy #Electrostatics #BoardExams2024 #PhysicsDerivations #SelfStudyArmy
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Question of the Day:
If you place 4 charges at the corners of a Square, how many pairs of charges must you calculate to find the Total Potential Energy?
(A) 4 Pairs
(B) 6 Pairs
(C) 8 Pairs
Hint: Watch the "Inspector's Warning" at 10:45!
Drop your answer below! 👇 #SelfStudyArmy
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