Problem 3.228

Find the magnetic induction at the point $O$ if the wire carrying a current $I=8.0$ A has the shape shown in Fig. $3.63 a, b, c$ . The radius of the curved part of the wire is $R=100 \mathrm{~mm},$ the linear parts of the wire are very long.

Reveal Answer

\begin{array}{l} \text { 3.228. (a) } B=\left(\mu_{0} / 4 \pi\right) \sqrt{4+\pi^{2}} I / R=0.30 \mu \mathrm{T} ; \text { (b) } B=\left(\mu_{0} / 4 \pi\right) \times \\ \times \sqrt{2+2 \pi+\pi^{2}} I / R=0.34 \mu \mathrm{T} ; \text { (c) } B=\left(\mu_{0} / 4 \pi\right) \vee \overline{2} I / R=0.11 \mu \mathrm{T} \end{array}

Constant Magnetic Field, Magnetics