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(D) In configurations $P$ and $R$,the current entering the square divides into two parallel paths. Because the wires in each path have the same total

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$P$ and $R$ only

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(D) In configurations $P$ and $R$,the current entering the square divides into two parallel paths. Because the wires in each path have the same total resistance (each path consists of one thick and one thin wire),the current splits equally in both branches.Since the segments are symmetric with respect to the centre and carry equal currents in opposite directions relative to the centre,the magnetic field produced by each segment at the centre cancels out.Therefore,the net magnetic field at the centre is zero for cases $P$ and $R$.

Two thick wires and two thin wires,all of the same material and same length,form a square in three different ways $P$,$Q$,and $R$ as shown in the figure. With the current connection shown,the magnetic field at the centre of the square is zero in which cases?

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