question_answer

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.

Answer:

8.00