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

AI Thread Summary
To find the magnetic field at the center of a cylinder with 12 parallel wires, each carrying a different current corresponding to the hour on a clock, calculate the magnetic field produced by each wire individually. The magnetic field from each wire is a vector, meaning both magnitude and direction must be considered. After determining the contribution from each wire, sum these vector fields to obtain the total magnetic field at the center. It is essential to account for the direction of the magnetic fields, as they can cancel each other out or reinforce one another. Understanding these principles will lead to the correct solution for the magnetic field at the center of the cylinder.
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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