On Minimization of Net Lorentz Force on Gradient Coil
A theoretical study of the net Lorentz force on the gradient coil is presented. Analytical expressions for the Lorentz force on a cylindrical x gradient coil by a cylindrical magnet were derived. Conditions for the minimization of the net Lorentz force were obtained. It was found that the optimization of the magnetic shielding for a shielded gradient coil set would naturally lead to the minimization of the net Lorentz force exerted on it by the magnet.