Question

Ampere’s circuital law is given by

• A. $\oint \vec{H}\cdot \overrightarrow{dl}={\mu }_0{I}_{enc}$
• B. $\oint \vec{B}\cdot \overrightarrow{dl}={\mu }_0{I}_{enc}$
• C. $\oint \vec{B}\cdot \overrightarrow{dl}={\mu }_{0}J$
• D. $\oint \vec{H}\cdot \overrightarrow{dl}={\mu }_{0}J$

Answer 1

Answer: (B)

The line integral of the magnetic field of induction $\vec{B}$ around any closed path in free space is equal to absolute permeability of free space ${\mu }_0$ times the total current flowing through area bounded by the path.
Ampere's circuital law is given by:
$\oint \vec{B}\cdot dl={\mu }_0{I}_{enc}$