All Problems

Constant Magnetic Field, Magnetics

Problem 3.252

A coil carrying a current \(I=10 \mathrm{~mA}\) is placed in a uniform magnetic field so that its axis coincides with the field direction. The single-layer winding of the coil is made of copper wire with diameter \(d=0.10 \mathrm{~mm},\) radius of turns is equal to \(R=30 \mathrm{~mm} .\) At what value of the induction of the external magnetic field can the coil winding be ruptured?

Reveal Answer
B=πd2σm/4RI=8kT, where σm is the strength of copperB=\pi d^{2} \sigma_{m} / 4 R I=8 \mathrm{kT}, \text { where } \sigma_{m} \text { is the strength of copper}
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