State Ampere's Law.

ANSWER : Ampere's law is a fundamental principle in electromagnetism that relates the magnetic field around a closed loop to the electric current passing through that loop. It provides a mathematical description of how electric currents create magnetic fields.

The formula for Ampere's law is given as :

∮B⋅dl = μ₀I

In this equation, ∮B⋅dl represents the line integral of the magnetic field B around a closed loop, μ₀ is the permeability of free space, and I is the total electric current passing through the loop. 

The line integral of the magnetic field (∮B⋅dl) calculates the sum of the magnetic field component (B) along the infinitesimal length element (dl) as we traverse the closed loop. It quantifies the magnetic flux around the loop, indicating how the magnetic field is distributed in space.

The permeability of free space (μ₀) is a fundamental constant that characterizes the ability of a medium to support the formation of a magnetic field in response to an electric current. Its value is approximately 4π × 10^(-7) H/m (henries per metre). It is sometimes also expressed in Tesla metre per amper (Tm/A).

The total electric current (I) represents the net flow of electric charge through the loop. It can be the sum of currents through wires or any other source that generates a current.

Ampere's law allows us to determine the magnetic field produced by a current-carrying wire or a collection of current-carrying wires, making it a crucial tool for analyzing and understanding the behavior of magnetic fields in various electromagnetism applications.

Also Read : Define Scalar and Vector Field.

Also Read : What do you mean by Vector Product?

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