You plan to construct a solenoid by winding 100m of wire around the full length

Question

You plan to construct a solenoid by winding 100m of wire around the full length of a cardboard tube, and then running a current of 1A through the wire. Which cardboard tube will lead to the largest magnitude for the magnetic field inside the solenoid?

a. A tube of length 40cm, radius 2cm.

b. A tube of length 40cm, radius 4cm.

c. A tube of length 20cm, radius 2cm.

d. A tube of length 20cm, radius 4cm.

A loop of wire in the shape of a circle of radius 1.0m carries a current of 5.0A. Consider spherical surfaces of 0.5m radius, 1.5m radius, and 15m radius, with the center of each sphere sitting at the center of the circular loop. Which sphere has the greatest net magnetic flux passing through it?

The sphere of radius 0.5m has the greatest magnetic flux.

The sphere of radius 1.5m has the greatest magnetic flux.

The sphere of radius 15m has the greatest magnetic flux.

All three spheres have the same magnetic flux.

The sphere of radius 0.5m has the greatest magnetic flux.

The sphere of radius 1.5m has the greatest magnetic flux.

The sphere of radius 15m has the greatest magnetic flux.

All three spheres have the same magnetic flux.

Explanation / Answer

1) The magnetic field inside a solenoid is directly proportional to the number of loops per unit length of the solenoid. From the given options, (c) will have the highest loops per unit length as it has a small radius as well as length. Hence the right answer is (c).

2) All three spheres will have the same magnetic flux and it will be zero because flux through a closed surface is always zero. Sphere is a closed surface

Please upvote if the answer was useful. Comment for doubts.

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