A segment of wire of total length 2.0 m is formed into a circular loop having 5.0 turns. If the wire carries a 1.2-A current, determine the magnitude of the magnetic field at the center of the loop.
A) 79 μT
B) 69 μT
C) 59 μT
D) 89 μT
E) 9.4 μT

Question

Quizplus · Accepted Answer

The magnetic field at the center of a circular loop is given by B = (μ₀ * N * I) / (2 * R), where N is the number of turns, I is the current, and R is the radius. The total length of the wire is 2.0 m, so the circumference of one loop is 2.0 m / 5 = 0.4 m. Thus, R = 0.4 m / (2π). Substituting these values into the formula gives approximately 59 μT.

A Segment of Wire of Total Length 2