All Problems

Constant Magnetic Field, Magnetics

Problem 3.234

Inside a long straight uniform wire of round cross-section there is a long round cylindrical cavity whose axis is parallel to the axis of the wire and displaced from the latter by a distance l. A direct current of density \(\mathbf{j}\) flows along the wire. Find the magnetic induction inside the cavity. Consider, in particular, the case \(1=0\).

Reveal Answer
B=1/2μ0[j1], i.e. field inside the cavity is uniform. \mathbf{B}=1 / 2 \mu_{0}[\mathbf{j} 1], \text { i.e. field inside the cavity is uniform. }
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