Calculating Magnetic Field Due to Multiple Cavities Using Ampere's Law

AI Thread Summary
To calculate the magnetic field at point P above a long conductive cylinder with two cylindrical cavities, Ampere's Law and the Biot-Savart Law are relevant. The main challenge arises from the presence of the cavities, which complicates the current distribution. Applying the superposition principle can help to address the effects of the cavities on the magnetic field. Understanding how to calculate the magnetic field from the entire wire is essential, as the cavities will modify this field. Properly articulating the confusion regarding the cavities will aid in finding the solution.
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Homework Statement


A long conductive cylinder contains two cylindrical cavities, as shown in the diagram. Find the magnetic field produced at point P just above the surface of the cylinder, the total current in the I and uniform current density over its section.

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Homework Equations



Biot-Savart
Ampere's law

The Attempt at a Solution



I tried to use ampere's law, but I'm a bit confused what I should do.
I don't know very well what i can do, if someone could help i appreciate.
 
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Try to articulate the trouble you are having.

You know how to find B due to a current in the whole wire right?
I'm guessing the trouble is the holes - is that correct?
So apply the superposition principle.
 
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