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

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SUMMARY

The discussion centers on calculating the magnetic flux through a disk positioned perpendicular to the axis of a solenoid. The solenoid has a diameter of 2.50 cm, a length of 30.0 cm, 300 turns, and carries a current of 12.0 A. The magnetic field (B) is calculated using the formula B = (permeability constant) * n * I, where n is the number of turns per unit length. It is established that the magnetic flux remains constant for disks with radii up to 2.50 cm, as the solenoid's effective radius limits the magnetic field's influence.

PREREQUISITES
  • Understanding of magnetic flux and its calculation
  • Familiarity with solenoid properties and configurations
  • Knowledge of the permeability constant and its role in magnetic field calculations
  • Basic calculus for area calculations (A = πr²)
NEXT STEPS
  • Study the derivation of the magnetic field inside a solenoid
  • Learn about the effects of solenoid dimensions on magnetic field strength
  • Explore the concept of magnetic flux density and its applications
  • Investigate the implications of extending areas beyond the magnetic field limits
USEFUL FOR

Students in physics, particularly those studying electromagnetism, as well as educators and anyone interested in the practical applications of magnetic fields in solenoids.

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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