In Ampere's Law, the currents outside the Amperical loop DO contribute to the magnetic field B but are NOT included in the Right side of the equation with I :
�ç B.ds = ƒÊ * I
Why? I'm so cofused. can anyone explain plzzzz..
Amperes law regulates the behaviour of the magnetic field created by the current of interest. All others in the universe are not considered.
In Ampere's Law, the equation you mentioned (often written as ∮ B · ds = μ₀ * I) relates the magnetic field (B) along a closed loop (ds) to the electric current (I) passing through the loop. However, it's important to note that this equation specifically applies to situations where all the current passing through the loop is enclosed by the loop itself.
When considering Ampere's Law, we assume that the loop is called an Amperian loop, meaning any current inside the loop contributes to the magnetic field observed along the loop. This is because the magnetic field created by a current-carrying wire can be measured at any point near it, regardless of the geometry of the loop.
However, the currents outside the Amperian loop do create a magnetic field, but it doesn't contribute to the flux of the magnetic field through the loop itself. As a result, we do not include the contribution of these external currents in the right side of the equation (μ₀ * I) since it only accounts for the current enclosed by the loop.
To summarize, Ampere's Law explains how the magnetic field is generated by the current enclosed by an Amperian loop. The contribution of external currents is not considered in the flux calculation because it does not affect the net magnetic field passing through the loop.