4. The figure below shows the cross section of an infinitely long circular cylinder of radius...

 

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4. The figure below shows the cross section of an infinitely long circular cylinder of radius 3a with an infinitely long, collinear, cylindrical hole of radius a. The cylindrical hole is displaced so that its centre is at a distance a from the centre of the larger, solid cylinder. The solid part of the cylinder carries a current I, distributed uniformly over the cross section and directed out of the plane of the paper. y -- 2a Find the magnetic field at locations along the r axis, (a) outside the large cylinder; (b) inside the cylinder in the shaded region; (c) in the cylindrical hole. HINT: The Biot-Savart law should be your last resort. The principle of superposition may help. 4. The figure below shows the cross section of an infinitely long circular cylinder of radius 3a with an infinitely long, collinear, cylindrical hole of radius a. The cylindrical hole is displaced so that its centre is at a distance a from the centre of the larger, solid cylinder. The solid part of the cylinder carries a current I, distributed uniformly over the cross section and directed out of the plane of the paper. y -- 2a Find the magnetic field at locations along the r axis, (a) outside the large cylinder; (b) inside the cylinder in the shaded region; (c) in the cylindrical hole. HINT: The Biot-Savart law should be your last resort. The principle of superposition may help.