Ampere's law and biot-savort law

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SUMMARY

Ampere's Law and Biot-Savart Law serve distinct purposes in electromagnetism. Ampere's Law is effective for calculating the magnetic field (B field) around current-carrying wires in highly symmetric systems. In contrast, Biot-Savart Law is necessary for scenarios lacking symmetry, providing a more general approach to determining magnetic fields. This distinction parallels the relationship between Gauss's Law and Coulomb's Law in electrostatics.

PREREQUISITES
  • Understanding of Ampere's Law
  • Familiarity with Biot-Savart Law
  • Knowledge of magnetic fields and their properties
  • Basic concepts of symmetry in physics
NEXT STEPS
  • Study the applications of Biot-Savart Law in non-symmetric systems
  • Explore the mathematical derivation of Ampere's Law
  • Investigate the relationship between Gauss's Law and Coulomb's Law
  • Learn about magnetic field calculations in various geometries
USEFUL FOR

Physics students, educators, and professionals in electromagnetism who seek to deepen their understanding of magnetic field calculations and the applications of Ampere's and Biot-Savart Laws.

likephysics
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stupid question -
Why do we need Biot Savart law when we have ampere's law to determine the B field around a current carrying wire.
 
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likephysics said:
stupid question -
Why do we need Biot Savart law when we have ampere's law to determine the B field around a current carrying wire.

Because Ampere's law is useful only when you have a highly symmetric system.

This is similar to Gauss's law and Coulomb's law. Gauss's law is very useful when you have a highly symmetry configuration. But when it isn't, you have to go back to Coulomb's law.

Zz.
 

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