Part of JMAG-01 — Magnetic Effects: Biot-Savart & Ampere's Law

Magnetic Moment and Torque on a Loop

by Notetube Official61 words5 views

Magnetic moment of a current loop: m=NIA\vec{m} = NI\vec{A} (direction: right-hand rule with current). Torque in uniform field: τ=m×B\vec{\tau} = \vec{m} \times \vec{B}, magnitude τ=mBsinθ\tau = mB\sin\theta. Potential energy: U=mB=mBcosθU = -\vec{m} \cdot \vec{B} = -mB\cos\theta. Stable equilibrium: θ=0\theta = 0 (mB\vec{m} \parallel \vec{B}). Unstable: θ=π\theta = \pi. Work done to rotate from θ1\theta_1 to θ2\theta_2: W=mB(cosθ1cosθ2)W = mB(\cos\theta_1 - \cos\theta_2).

Like these notes? Save your own copy and start studying with NoteTube's AI tools.

Sign up free to clone these notes