Question

A small circular loop of area 2.00 cm2 is placed in the plane of, and concentric with, a large circular loop of radius 1.16 m. The current in the large loop is changed at a constant rate from 206 A to −206 A (a change in direction) in a time of 1.42 s, starting at t=0.What is the magnitude of the magnetic field B at the center of the small loop due to the current in the large loop at (a) t=0

Answer 1

The magnetic field at the center of a small loop due to a current in a larger loop at time t=0 is determined by the Biot-Savart Law or Ampere's Law, relating the current, permeability of free space, and the loop's radius to the magnetic field.

Step-by-step explanation:

The student is asking about the magnitude of the magnetic field B at the center of a small circular loop due to the current in a larger concentric circular loop at the initial moment when the current starts changing. To find the magnetic field at the center of a loop due to a current, the Biot-Savart Law or Ampere's Law can be used, which relates the current (I), the permeability of free space (μ0), and the radius of the loop (R) to the magnetic field.

The formula for the magnetic field at the center of a circular loop is given by B = (μ0 * I) / (2 * R), where μ0 = 4π * 10-7 T·m/A is the permeability of free space. But since there is no information provided about the magnetic field at t=0 when the current is 206 A.