A circular loop made from a flexible, conducting wire is shrinking. Its radius as a function of time is T = Toe Pt. The loop is perpendicular to a steady, uniform magnetic field B.

A proton has a velocity of 1.1X10^2 m/s î +1.8X10^2 m/s ĵ and is located in the z=0 plane at x=3.4m, y=3.6m at some time t=T. Find the magnetic field in the z=0 plane at the following at x=1.9m, y=1.9m.

A particle with a mass of 5.00 x 10-16 kg and a charge of 21.0 nC starts from rest, is accelerated through a potential difference AV, and is fired from a small source in a region containing a uniform, constant magnetic field of magnitude 0.600 T. The particle's velocity is perpendicular to the magnetic field lines. The circular orbit of the particle as it returns to the location of the source encloses a magnetic flux of 15.0 µWb. (a) Calculate the particle's speed. m/s (b) Calculate the potential difference through which the particle was accelerated inside the source. V

A magnetic dipole with a dipole moment of magnitude 0.0306 J/T is released from rest in a uniform magnetic field of magnitude 57.6 mT. The rotation of the dipole due to the magnetic force on it is unimpeded. When the dipole rotates through the orientation where its dipole moment is aligned with the magnetic field, its kinetic energy is 0.573 mJ. (a) What is the initial angle between the dipole moment and the magnetic field? (b) What is the angle when the dipole is next (momentarily) at rest?