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Question

Inside a long straight uniform wire of circular cross - section there is a long cylindrical cavity 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 density 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


By superposition theorem Magnetic Field inside the cavity in a long straight wire is given by
B=μ02(J×L)
So Magnetic field inside the cavity is uniform and proportional to L


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