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Question

Inside a long straight uniform wire of circular cross - section there is a long cylindrical cavity (bore) of radius r whose axis is parallel to the axis of the wire. Axis of cavity is displaced from the axis of wire by a distance ‘L’ as shown in figure. A direct current J flows through the wire. Then
I) Magnetic field inside the cavity is non-uniform
II) Magnetic field inside the cavity is uniform
III) Field inside the cavity is directly proportional to L
IV) Magnetic field inside the cavity is independent of L

A
I and IV
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B
I and III
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C
II and IV
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D
II and III
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Solution

The correct option is D II and III
¯B=μ02(¯jׯL)

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