A current density J¯ = ˆy sin(2x) A/m^2 is subject to a z-directed magnetic field H¯ = ˆz10 A/m.
a. Assuming the vacuum permeability (i.e. a non-magnetic medium), what is the magnetic flux?
b. Determine the force density ¯f on J¯.
c. Make a Matlab plot showing both the intensity of the current |J¯|^2 J¯· J¯ and the force density