A conducting loop carries a steady, counterclockwise current I. The loop consists of two half-circles connected by vertical, equal-length straight sections, forming a horizontal loop. The radius of the right half-circle is R_A (smaller radius) and the radius of the left half-circle is R_B (larger radius).
(i) Find the magnitude and direction of the magnetic field at the center point P of the loop. (ii) Calculate the magnetic dipole moment of the loop.

• A. $\begin{array}{l}\text{i. } B_{\text {Total }}=\frac{\mu_{0} I}{4}\left(\frac{1}{R_{A}}+\frac{1}{R_{B}}\right) \text{, out of the page;}\\ \text{ii. } \mu=\frac{\pi I}{2}\left(R_{A}^{2}+R_{B}^{2}\right) \text{, out of the page}\end{array}$
• B. $\begin{array}{l}\text{i. }B_{\text{Total }}=\frac{\mu_0I}{4}\left(\frac{1}{R_{A}}+\frac{1}{R_{B}}\right)\text{, out of the page;}\\ \text{ii. }\mu=\pi I\ \left(R_{A}^2+R_{B}^2\right)\text{, into the page}.\end{array}$
• C. $\begin{array}{l}\text{i. }B_{\text{Total }}=\mu _0I\left(\frac{1}{R_A}+\frac{1}{R_B}\right)\text{, out of the page;}\\ \text{ii. }\mu =\frac{\pi I}{2}\ \left(R_A^2+R_B^2\right)\text{, into the page}.\end{array}$
• D. $\begin{array}{l}\text{i. }B_{\text{Total }}=\mu _0I\left(\frac{1}{R_A}+\frac{1}{R_B}\right)\text{, out of the page;}\\ \text{ii. }\mu =\pi I\ \left(R_A^2+R_B^2\right)\text{, out of the page}.\end{array}$