Concept #1: Biot-Savart Law with Calculus

Example #1: Magnetic Field due to Finite Wire

Practice: What is the magnetic field at the center of the following ring of current?

A conductor in the shape of a square loop of edge length L carries a current I as shown in the figure below. Calculate the magnitude and direction of the magnetic field at the center of the square.

As shown in the figure, a wire is bent into the shape of a tightly closed omega, with a circular loop of radius 4.0 cm and two long straight sections. The loop is in the xy-plane, with the center at the origin. The straight sections are parallel to the x-axis. The wire carries a 5 A current, as shown. What is the magnitude of the magnetic field at the center of the loop?
(a) 54 μT
(b) 104 μT
(c) 80 μT
(d) 40 μT
(e) 25 μT

A conductor in the shape of a square loop of edge length L carries a current I as shown in the figure below. Calculate the magnitude and direction of the magnetic field at the center of the square.