What is an Amperian loop?

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(N/A) An Amperian loop is an imaginary closed loop or path in space,chosen to apply Ampere's circuital law to calculate the magnetic field produced by a current distribution.
It is analogous to a Gaussian surface in electrostatics.
The loop is typically chosen such that the magnetic field $B$ is either constant along the path or perpendicular to it,simplifying the line integral $\oint B \cdot dl = \mu_0 I_{\text{enclosed}}$.

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$A$ closely wound solenoid $120 \ cm$ long has $4$ layers of windings of $400$ turns each. The diameter of the solenoid is $1.8 \ cm$. If the current carried is $8.0 \ A$,estimate the magnitude of $B$ inside the solenoid near its centre.

$A$ closely wound solenoid $80\; cm$ long has $5$ layers of windings of $400$ turns each. The diameter of the solenoid is $1.8\; cm$. If the current carried is $8.0\; A$,estimate the magnitude of $B$ inside the solenoid near its centre.

$A$ toroid has a core of inner radius $r_1$ and outer radius $r_2$,around which $N$ turns of wire are wound. If the current in the wire is $I$,then the magnetic field inside the toroid is $(\mu_0 = \text{permeability of free space})$

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