A very long straight conductor has a circular cross-section of radius R . Inside the conductor there is a cylindrical hole of radius ‘a’ whose axis is parallel to the axis of the conductor and at a distance ‘b’ from it, as shown in the diagram .The conductor with hole carries current i. Let the z-axis be the axis of conductor and the axis of the hole at x = b, Match the following column. Column−IColumn−IIP)MagnitudeofmagneticfieldatpointP(2R,0)1)ZeroQ)X−componentofmagneticfieldatpointP(0,0)2)μ0i2πb(a2R2−a2)R)MagnitudeofmagneticfieldatpointP(0,0)3)μ0i2π(R2−a2)(a22R−b−R2)S)MagnitudeofmagneticfieldatpointP(b,0)4)μ0ib2π(R2−a2)
A
P→2,Q →1,R →3,S →1
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B
P→3,Q →2,R →4,S →1
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C
P→3,Q →1,R →2,S →4
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D
P→4,Q →4,R →3,S →1
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Solution
The correct option is CP→3,Q →1,R →2,S →4 Magnetic field intensity of whole completewire and supposed wire in hole is subtracted .