Does magnetic flux change if the area is extended past the B field?

In summary, the problem involves a solenoid with dimensions of 2.50 cm in diameter and 30.0 cm in length, carrying a current of 12.0 A and having 300 turns. The task is to calculate the flux through a disk with a radius of 5.00 cm, perpendicular to and centered on the axis of the solenoid. The solution involves using the equation B = (permeability constant) * n * I, where n is the number of turns per unit length and I is the current. The flux would be the same for a disk of radius 2.50 cm and 5.00 cm, as long as the disk is close enough to the solenoid.
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gsquare567
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Homework Statement


A solenoid 2.50 cm in diameter and 30.0 cm long has 300 turns and carries 12.0 A. Calculate the flux through the surface of a disk of radius 5.00 cm that is positioned perpendicular to and centered on the axis of the solenoid.


Homework Equations


B = (permeability constant) * n * I
n is the number of turns per unit length, and I is the current



The Attempt at a Solution


n = 300 turns / 0.3 m = 1000
B is now known, but wouldn't the flux be the same for a disk of radius 2.50 cm and radius 5.00 cm, calculated as B * A = B * 2*pi*r^2, because the solenoid only has a radius of 2.5 cm and any greater than that doesn't matter?

Thanks =)
 
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Related to Does magnetic flux change if the area is extended past the B field?

1. How does the magnetic flux change if the area is extended past the B field?

The magnetic flux, which is defined as the total number of magnetic field lines passing through a given area, will not change if the area is extended past the B field. This is because the magnetic field lines are considered to be infinite in length, and therefore will always pass through the extended area.

2. Will the strength of the magnetic field change if the area is extended past the B field?

No, the strength of the magnetic field will remain the same if the area is extended past the B field. The strength of the magnetic field is determined by the magnitude and direction of the current, and is not affected by the size of the area.

3. Can the magnetic flux be increased by extending the area past the B field?

No, extending the area past the B field will not increase the magnetic flux. As mentioned before, the magnetic field lines are considered to be infinite in length, so they will always pass through the extended area. Therefore, the total number of magnetic field lines passing through the area will remain the same.

4. Will the magnetic flux change if the B field is extended?

Yes, the magnetic flux will change if the B field is extended. This is because the B field is a measure of the strength of the magnetic field, and by extending it, you are effectively increasing the strength of the magnetic field and therefore the number of magnetic field lines passing through a given area.

5. Is there any relationship between the size of the area and the strength of the magnetic field?

No, there is no direct relationship between the size of the area and the strength of the magnetic field. The strength of the magnetic field is determined by the magnitude and direction of the current, while the size of the area only affects the total number of magnetic field lines passing through it. However, the size of the area can indirectly affect the strength of the magnetic field if it affects the magnitude of the current.

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