Amperes Law Gausss Law the idea and the equation The total flux of - - PDF document

Ampere’s Law

Gauss’s Law – the idea and the equation

The total “flux” of field lines penetrating any of these surfaces is the same and depends only

• n the amount of charge inside

Ampere’s Law: The Idea

In order to have a B field around a loop, there must be current punching through the loop

Ampere’s Law: The Equation

The line integral is around any closed contour bounding an open surface S . Ienc is current through S:

Ampere’s Law: The Equation

The line integral is around any closed contour bounding an open surface S . Ienc is current through S:

Magnetic Gauss’s Law. The idea and the equation

Faraday’s Law. The idea and the equations

Changing B (increasing)

Faraday’s Law. The profound meaning

Changing B

A t B s E r r r r d d ⋅ ∂ ∂ − = ⋅

∫∫ ∫

A Changing B creates E

Maxwell adiction to Ampere’s Law.

Changing E A Changing E creates B

A t E s B r r r r d d ⋅ ∂ ∂ = ⋅

∫∫ ∫

ε µ