- #1
anantchowdhary
- 372
- 0
Is it possible to derive Ampere's Law(circuital) using the Biot Savart Law and elementary calculus?
Thanks
Thanks
Take the curl of the integral in the B-S law.anantchowdhary said:Is it possible to derive Ampere's Law(circuital) using the Biot Savart Law and elementary calculus?
Thanks
Ampere's Law using the Biot Savart Law is a fundamental law in electromagnetism that relates the magnetic field produced by a current-carrying wire to the current and distance from the wire. It states that the magnetic field at a point is directly proportional to the current and inversely proportional to the distance from the wire.
Ampere's Law is a simplified version of the Biot Savart Law, which is a more general law that describes the magnetic field produced by any current distribution. Ampere's Law is only applicable to cases where the current is constant and flows in a straight line, while the Biot Savart Law can be used for more complex current distributions.
Ampere's Law using the Biot Savart Law has various applications in electromagnetism, such as calculating the magnetic field of a wire, solenoid, or loop of current-carrying wire. It is also used in the design of electrical devices, such as motors, generators, and transformers.
No, Ampere's Law using the Biot Savart Law cannot be used to calculate the magnetic field inside a conductor because it assumes that the current is flowing outside the conductor. To calculate the magnetic field inside a conductor, we need to use a more general form of the Biot Savart Law.
Ampere's Law using the Biot Savart Law is derived by combining the Biot Savart Law with the concept of symmetry. It is based on the principle that the magnetic field produced by a current element is proportional to the current element, the distance from the element, and the sine of the angle between the current element and the point at which the field is being calculated.