Ampere's law and biot-savort law

[likephysics]

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.

 

[ZapperZ]

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.