Magnetic Effects Of Current Question 377

Question: An infinite uniform current carrying wire is kept along z-axis, carrying current $ I_{0} $ in the direction of the positive z-axis. $ OABCDEFG $ represents a circle (where all the points are equally spaced), whose centre at point (4m, 0m) and radius 4 m a shown in the figure. If $ \int\limits_{DEF}{{\vec{B}}}.d\vec{\ell }=\frac{{\mu_{0}}I_{0}}{K} $ in S.I. units, then find the value of k.

Solution:

Answer: 8.00