Q.

Two semi-infinite wires and one infinite wire are arranged as shown in figure. At point 0, the wires are electrically insulated from each other. Wire I & II carry same current I in the direction shown in figure. Two points P & Q are marked such that OP = OQ = d. Mark the correct statement (s) for this situation.

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a

Magnetic field at P & Q would be equal in magnitude when direction of current in III is from B to A.

b

Magnetic field at P & Q would be always equal in magnitude

c

Magnitude of magnetic field at P & Q would never be equal, whatever be the value of current in III rd wire.

d

The magnetic field at P & Q would be equal and opposite for all values of current flowing through III wire, when direction of current in III wire is from A to B.

answer is A, C, D.

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Detailed Solution

Magnetic field at P & Q due to wires I & II is zero, so non zero magnetic field at P & Q is only due to third wire. So magnetic field at P & Q is always equal and opposite. 

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