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(D) The magnetic field at the centre of a closed loop carrying current is zero if the current distribution is symmetric such that the magnetic field p

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(D) The magnetic field at the centre of a closed loop carrying current is zero if the current distribution is symmetric such that the magnetic field produced by each segment is cancelled by an equal and opposite field from another segment. For a hexagon,the magnetic field at the centre is zero if the current in each segment is such that the net magnetic field vectors sum to zero. If the hexagon is made of two different materials $P$ and $Q$ with different resistances,the current will divide unequally between the two paths connecting $X$ and $Y$. If the arrangement of materials $P$ and $Q$ is not symmetric with respect to the entry and exit points $X$ and $Y$,the currents in the segments will not be such that their magnetic fields cancel each other out. In option $A$,the arrangement is symmetric. In option $B$,the arrangement is symmetric. In option $C$,the arrangement is symmetric. In option $D$,the arrangement is not symmetric with respect to the points $X$ and $Y$ because the distribution of materials $P$ and $Q$ along the two paths is different,leading to unequal currents and a non-zero magnetic field at the centre.

In the following hexagons,made up of two different materials $P$ and $Q$,current enters and leaves from points $X$ and $Y$ respectively. In which case is the magnetic field at its centre not zero?

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