Suppose that there is a magnetic field B(x, y, z) = x2 filling a 3D space....

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Suppose that there is a magnetic field B(x, y, z) = x2 filling a 3D space. The coordinates are set up as a Cartesian coordinate system with = 2. For all the discussions below, ignore the units. a) Find the equations of motion (three equations for x, y, z directions respectively) for a positive charge +Q that is located at = (-1,2,3) and moving at velocity = (1,-2,2). No need to solve the equations. b) In this magnetic field, is it possible for a (unconstrained) particle to move along a circular path at a constant speed? If so, indicate one possible initial position and velocity of the particle; If not, briefly explain your reasons. Suppose that there is a magnetic field B(x, y, z) = x2 filling a 3D space. The coordinates are set up as a Cartesian coordinate system with = 2. For all the discussions below, ignore the units. a) Find the equations of motion (three equations for x, y, z directions respectively) for a positive charge +Q that is located at = (-1,2,3) and moving at velocity = (1,-2,2). No need to solve the equations. b) In this magnetic field, is it possible for a (unconstrained) particle to move along a circular path at a constant speed? If so, indicate one possible initial position and velocity of the particle; If not, briefly explain your reasons.