Ampere's law and biot-savort law

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Ampere's law is effective for calculating the magnetic field around current-carrying wires only in highly symmetric systems. In cases where symmetry is absent, Biot-Savart law becomes necessary to accurately determine the magnetic field. This parallels the relationship between Gauss's law and Coulomb's law, where Gauss's law is limited to symmetric configurations. Biot-Savart law provides a more versatile approach for complex geometries. Understanding both laws enhances the ability to analyze magnetic fields in various situations.
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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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