Question

An infinitely long wire, located on the z-axis, carries a current I along the +z-direction and produces the magnetic field $\bar{B}$ . The magnitude of the line integral $∫ \overrightarrow{B}.\overrightarrow{dl}$ along a straight line from the point $(−√3a, a, 0)$to $(a, a, 0)$ is given by [$\mu_0$ is the magnetic permeability of free space.]

• A. $\frac{7\mu_oI}{24}$
• B. $\frac{7\mu_oI}{12}$
• C. $\frac{\mu_oI}{8}$
• D. $\frac{\mu_oI}{6}$

Answer 1

Answer: (A)

$\frac{7\mu_oI}{24}$

Answer 2

The correct option is (A):$\frac{7\mu_oI}{24}$