Скачать или смотреть (Lecture 08) Potential Energy of a Rotating Dipole in a Uniform Magnetic Field | Class 12 Physics

Want to master the derivation for the potential energy of a magnetic dipole? In this comprehensive Class 12 Physics tutorial, we perform the step-by-step proof to arrive at the formula: U=−M⋅B=−MBcosθ. Learn how to determine the conditions for stable and unstable equilibrium and understand the work done in rotating the dipole.

This is a mandatory derivation for board exams, JEE, and NEET! We'll start with the torque and integrate to find the potential energy, making the entire concept easy to grasp.

📚 Video Timestamps:

Introduction: Torque and Work Done in a Magnetic Field

Setting up the problem: Magnetic Dipole in Uniform Field B

The Work Done Formula (dW=τdθ) and Integration

Full Derivation for Potential Energy U=−MBcosθ

Case 1: Stable Equilibrium (θ=0 and Minimum Energy)

Case 2: Unstable Equilibrium (θ=180 and Maximum Energy)

Application: Work Done in rotating the dipole from 0 to 90.


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