All Problems

Constant Magnetic Field, Magnetics

Problem 3.231

A direct current \(I\) flows along a lengthy straight wire. From the point \(O\) (Fig. 3.64) the current spreads radially all over an infinite conducting plane perpendicular to the wire. Find the magnetic induction at all points of space.

Reveal Answer
 In the half-space with the straight wire, B=μ0I/2πr r is the distance from the wire. In the other half-space B≡0\text { In the half-space with the straight wire, } B=\mu_{0} I / 2 \pi r \text { r is the distance from the wire. In the other half-space } B \equiv 0
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