For an infinitely long solenoid (long-axis horizontal) carrying a current i, whi

Question

For an infinitely long solenoid (long-axis horizontal) carrying a current i, which of the following statements are true.
I. The B-field does not depend on the horizontal position in the solenoid
II. The B-field does not depend on the vertical location within the solenoid
III. The B-field does not depend on value of the finite diameter of the solenoid
1. I only
2. II only
3. III only
4. I and II only
5. I and III only
6. II and III only
7. I, II and III

If you have a long wire of diameter D that is carrying a current, then the maximum magnetic field is at what location?
1. At the outer diameter of the wire
2. At the center of the wire
3. Half-way from the center to the outer diameter of the wire

Explanation / Answer

The first one is 3) III only. The magnetic field inside an infinitely long solenoid is homogeneous and its strength does not depend on the distance from the axis. The second one is 2.) At the center. The magnetic field is strongest closest to the center of the wire.

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