A) \[\frac{{{\mu }_{0}}I}{\pi a}\]towards midpoint of side DE
B) \[\frac{3{{\mu }_{0}}I}{\pi a}\] towards midpoint of side BC
C) \[\frac{3{{\mu }_{0}}I}{\pi a}\]towards midpoint of side DE
D) \[\frac{{{\mu }_{0}}I}{\pi a}\] towards midpoint of side BC
Correct Answer: A
Solution :
[a] Imagine a current I at F in the same direction as that of other 5 currents. Such 6 currents will produce zero field at the centre. Hence field at the centre will be due to a current \[2I\] at F directed into the plane of the figure. \[B=\frac{{{\mu }_{0}}(2I)}{2\pi a}=\frac{{{\mu }_{0}}I}{\pi a}\] The direction is perpendicular to the line\[FO\]. This is a direction towards midpoint of side DE.You need to login to perform this action.
You will be redirected in
3 sec