1. Neutron through loop. Like many subatomic particles, neutrons carry an intrinsic magnetic moment. The magnetic field due to a neutron can, in some applications, be modeled as if caused by a tiny loop of wire of radius a = 10-13 cm carrying a current In = 3000 A. You will use this loop model of a neutron's magnetic field to explore the passage of a neutron through a macroscopic wire loop of radius b. 01 x b x First, consider two actual wire loops arranged as in the diagram on the left. The loops' planes are parallel, their centers are separated by a distance x, and their radii are a and b. In all parts of this problem, a <b. (a) (1 pt) Find the mutual inductance M of the two loops. With the loop model of the neutron in mind, consider now the diagram on the right in which a neutron is located a distance from the center of the large loop and is traveling toward it at non-relativistic speed v. Assume that the neutron is oriented such that its "current loop" lies parallel to the plane of the big loop. (b) (1 pt) Find the magnitude of the EMF induced in the big loop due to the moving neutron. Don't worry about the sign of the EMF. (c) (1 pt) Find the distance x for which the induced EMF has the largest magnitude. (d) (1 pt) If 61 cm and v = 0.01c, what is the maximum EMF induced, in volts. (You should find a rather small value here.)

Solved: 1. Neutron through loop. Like many subatomic particles, neutrons carry

Home
questions and answers
1 neutron through loop like many subatomic particles neutrons carry an

Question

1. Neutron through loop. Like many subatomic particles, neutrons carry an intrinsic magnetic moment. The magnetic field due to a neutron can, in some applications, be modeled as if caused by a tiny loop of wire of radius a = 10-13 cm carrying a current In = 3000 A. You will use this loop model of a neutron's magnetic f