How to Find the Magnetic Field at the Center of a Cylinder with 12 Wires?

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SUMMARY

The discussion focuses on calculating the magnetic field at the center of a cylinder containing 12 parallel wires, each carrying a current corresponding to the hour on a clock (1 A at 1 o'clock, 2 A at 2 o'clock, etc.). To find the total magnetic field, one must calculate the magnetic field produced by each wire individually and then vectorially sum these fields, taking into account their directions. The approach emphasizes the importance of vector addition in magnetic field calculations.

PREREQUISITES
  • Understanding of Ampère's Law
  • Familiarity with vector addition
  • Knowledge of magnetic field calculations for long straight conductors
  • Basic principles of electromagnetism
NEXT STEPS
  • Study Ampère's Law and its applications in calculating magnetic fields
  • Learn about the Biot-Savart Law for magnetic field calculations
  • Explore vector addition techniques in physics
  • Investigate the effects of multiple current-carrying wires on magnetic fields
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Students in physics, electrical engineering majors, and anyone interested in electromagnetism and magnetic field calculations.

jackxxny
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Homework Statement


I have a cylinder with 12 long parallel wires placed at the position of the hour on the clock.
each wire carries the corresponding hour in amperes. example the wire at 1 o'clock carries 1 A, the one at 2 carries 2 A and so on.
i need to find the magnetic field at the center of the cylinder.

Homework Equations


I don't really know where to start.


The Attempt at a Solution

 

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my question really is how do i account for all of the wires?
 
jackxxny said:
my question really is how do i account for all of the wires?
Find the magnetic field from each wire, then add them up. Note that the magnetic field is a vector, so direction matters.
 

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