Magnetic field due to the element of current, idl at the center of the loop is expressed as:
The vector R projects the element to center of the loop.
The magnitude of dB can be written as:
A piece of wire is bent to form a circle with radius r. It has a steady current I flowing through it in a counterclockwise direction as seen from the top (looking in the negative z direction). (Figure 1)
What is Bz(0), the z component of B⃗ at the center (i.e., x = y = z = 0) of the loop?
Express your answer in terms of I, r, and constants like μ0 and π.