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Question

Column II gives four situations in which three or four semi-finite current carrying wires are placed in x-y plane. The magnitude of the direction of current is shown in each figure. Column I gives statements regrading the x- and y- components of magnetic field at point P whose coordinates are (0,0,d). Match the statements in Column I with the corresponding figures in Column II.

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Solution

The magnetic field is along negative y-direction in cases (1), (2) and (3).
In case(4), there is a component of magnetic field along -ve x-axis.
Hence, A 1, 2, 3
Z-component of magnetic field is zero in all cases.
Hence, B 1, 2, 3, 4
The magnitude of the magnetic field in case(3) is μ0i4πd.
The magnetic field at P is less than μ0i2πd in all cases.
Hence, C 3
Hence, D 1, 2, 3, 4

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