English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

It is well known in classical electrodynamics that the magnetic field givenby a current loop and the electric field caused by the corresponding dipoles insheets are very similar, as far as we are far away from the loop, which enablesus to deduce Ampere's magnetic circuital law from the Biot-Savart law easily.The principal objective in this paper is to show that synthetic differentialgeometry, in which nilpotent infinitesimals are in abundance, furnishes out anatural framework for the exquisite formulation and its demonstration. Thissimilitude in heaven enables us to transit from the Biot-Savart law to Ampere'smagnetic circuital law like a shot on earth.

From the Biot-Savart Law to Ampere's Magnetic Circuital Law via Synthetic Differential Geometry