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An infinitely long wire, located on the z-axis, carries a current $I$ along the $+z$ -direction and produces the magnetic field $\vec{B}$ . The magnitude of the line integral $\int \vec{B} \cdot d\vec{l}$ along a straight line from the point $(-\sqrt{3}a, a, 0)$ to $(a, a, 0)$ is given by:
$\text{[} \mu_0 \text{ is the magnetic permeability of free space.] }$
A dimensionless quantity is constructed in terms of electronic charge $e$ , permittivity of free space $\varepsilon_0$ , Planck’s constant $h$ , and speed of light $c$ . If the dimensionless quantity is written as $e^\alpha \varepsilon_0^\beta h^\gamma c^\delta$ and $n$ is a non-zero integer, then $(\alpha, \beta, \gamma, \delta)$ is given by
Newton’s Laws of Motion: Definitions, Examples, and Real-World Applications
How Fast Do Electromagnetic Waves Travel?