# A V-shaped wire

Consider a V-shaped wire that has the following shape: it comes in at an angle of $\alpha$ below the positive x-axis, bends at the origin, and exits at an angle of $\alpha$ above the positive x-axis. It is known that for such a wire configuration the magnetic field at point $(-r,0)$ can be written as $B(r)= C(r) \tan(\frac{\alpha}{2})$ where $C(r)$ is a function of $r$. Using this information, find the magnitude of the magnetic field in Teslas if $\alpha= 45^{\circ}$, the current is $I=1~\mbox{A}$ (flowing from below the x-axis to above), and $r=1~\mbox{cm}$.

Details and assumptions

• $\frac{\mu_{0}}{4\pi}= 10^{-7}~\mbox{H/m}$
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