Magnetic field due to currentHard

Question

Two thick wires and two thin wires, all of the same materials and same length form a square in the three different ways P, Q and R as shown in fig with current direction shown. the magnetic field at the centre of the square is zero in cases
                            

Options

A.in P only
B.in P and Q only
C.in Q and R only   
D.P and R only

Solution

Effective resistance in each upper and lower arms are equal. Hence equal currents flows and produces zero M.F. in P and R configuration.

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