Determine the magnetic field (in terms of I, a, and d) at the origin due to the

Question

Determine the magnetic field (in terms of I, a, and d) at the origin due to the current loop in the figure below. The loop extends to infinity above the figure. (Use any variable or symbol stated above along with the following as necessary: ?0 and ?.)
1.magnitude BO=        2.direction=

please show steps to arrive at answer. Thank you!

Determine the magnetic field (in terms of I, a, and d) at the origin due to the current loop in the figure below. The loop extends to infinity above the figure. (Use any variable or symbol stated above along with the following as necessary: ?0 and ?.) 1.magnitude BO= 2.direction=

Explanation / Answer

The fields due to the vertical wires cancel at the origin by symmetry.

The B field produced by the horizontal wire is

B = uo I / [2 pi d]   [ANSWER, PART A, standard formula for the magnetic field]

Direction: INTO THE PAGE   [RIGHT HAND RULE]

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