Ampere’s circuital law is a fundamental law in electromagnetism that relates the magnetic field around a conductor to the electric current flowing through the conductor. It is named after French scientist André-Marie Ampère, who developed the law in the early 19th century.
Ampere’s circuital law Equation:
Ampere’s circuital law can be expressed mathematically as:
∮B⋅ds = µ0Ienc
where:
∮B⋅ds – The integral of the magnetic field (B) around a closed path (ds)
µ0 – The permeability of free space, a constant value equal to 4π x 10-7 N/A2
Ienc – The total electric current enclosed by the closed path
In simpler terms, Ampere’s circuital law states that the magnetic field around a conductor is directly proportional to the electric current flowing through the conductor. This means that if the current flowing through a conductor increases, the magnetic field around the conductor will also increase.
Ampere’s circuital law is a fundamental principle that is used to calculate the magnetic field produced by electric currents and to understand the behavior of electromagnetic systems. It is often used in conjunction with other laws, such as Faraday’s law of electromagnetic induction, to understand the interactions between electric and magnetic fields.
What SI unit is used to describe the Ampere’s circuital law?
According to the International System of Units (SI), which uses newtons per ampere squared or henries per meter as its measurement system.
Ampere’s circuital Law Applications:
- The magnetic induction caused by a long wire carrying a current can be calculated.
- Calculate exactly how much of a magnetic field exists inside a toroid.
- Calculate the magnetic field generated by a current carrying long conducting cylinder.
- Finding the strength of the magnetic field within the conductor.
- Locate the inter-current forces.
