Magnetostatics V: Boundary Conditions and Scalar Potential PDF

Document Details

SweepingPlatypus1962

Uploaded by SweepingPlatypus1962

BITS Pilani

2024

Sanjib Dey

Tags

magnetostatics boundary conditions scalar potential electromagnetism

Summary

This document is a lecture from a Physics course titled Magnetostatics. It discusses boundary conditions and scalar potential. The lecture is for a first semester undergraduate class (EMT-1) and includes references to Griffiths's Introduction to Electrodynamics, 3rd edition.

Full Transcript

Magnetostatics V: Boundary conditions and scalar potential Sanjib Dey PHY F212 (EMT-1), Semester-I (2024-25) Ref: D. J. Griffiths, Introduction to Electrodynamics, 3rd Edition 1 Magnetostatic boun...

Magnetostatics V: Boundary conditions and scalar potential Sanjib Dey PHY F212 (EMT-1), Semester-I (2024-25) Ref: D. J. Griffiths, Introduction to Electrodynamics, 3rd Edition 1 Magnetostatic boundary conditions (normal component) ⃗ ·B We know ∇ ⃗ =0 Divergence theorem: ˚ ‹ ⃗ ⃗ 3 ∇·B d r = ⃗ =0 ⃗ · dS B 2 Magnetostatic boundary conditions (normal component) ⃗ ·B We know ∇ ⃗ =0 Divergence theorem: ˚ ‹ ⃗ ·B ∇ ⃗ d3 r = ⃗ =0 ⃗ · dS B Normal component of B ⃗ and surface nor- mals n̂ are either parallel or antiparallel ‹ ⃗ =0 ⃗ · dS h

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