ampere's law integral

Question

Ampere's law integral form states ∮ B·dl equals?

RankGuru · Accepted Answer

1. **Ampere's Circuital Law**: The line integral of the magnetic field ($\vec{B}$) around any closed path (Amperian loop) is equal to $\mu_0$ times the total steady current ($I_{enc}$) passing through the surface enclosed by the path.
2. **Equation**: **$\oint \vec{B} \cdot d\vec{l} = \mu_0 I_{enclosed}$**.
3. **Analogy**: This is the magnetic equivalent of Gauss's Law in electrostatics.
4. **Usage**: Highly useful for calculating fields in systems with high symmetry, like long wires, solenoids, and toroids.

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ampere's law integral

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