# Magnetic field inside a cavity of a conductor.(Just a quick theory question, no math)

1. Feb 15, 2009

### Crazy Gnome

Question: An infinite cylindrical wire with radius 2R caries a uniform current density J=Jz, except in an infinite cylindrical hole parallel to the wires axis. The hole has a radius of R and is tangent to the exterior of the wire. Calculate the magnetic induction B everywhere inside the hole.

It would seem to me that according to Ampere's law B inside the cavity would just be 0 because there is no enclosed current. What am I missing? And the reason I doubt my answer so much is that he then wants us to plot B as a function of radius in the hole and I can't imagine plotting 0 was his intention.

2. Feb 16, 2009

### marcusl

Re: Magnetic field inside a cavity of a conductor.(Just a quick theory question, no m

You are correct in doubting your answer, which is wrong.
Here's a hint to solving the problem: imagine how you can produce that hole by superposing two cylinders.

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