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.

 

[astrokreng]

Both Ampere's law and Biot-Savart law are fundamental principles in electromagnetism that describe the relationship between electric currents and magnetic fields. While Ampere's law is more general and can be used to calculate the magnetic field around any current-carrying wire or closed loop, Biot-Savart law is more specific and is used to calculate the magnetic field at a specific point in space due to a specific current element. In other words, Biot-Savart law is a special case of Ampere's law. Therefore, both laws are equally important and necessary in understanding and predicting the behavior of magnetic fields in various situations. Additionally, Biot-Savart law is often used in more complex systems where Ampere's law may not be applicable, such as non-uniform current distributions or when the shape of the current-carrying wire is not simple. In summary, both Ampere's law and Biot-Savart law are essential tools in the study of electromagnetism and cannot be replaced by each other.