$1.$ Two protons $($with charge q$=$e$)$ move parallel to the x$-$axis in opposite directions with the same speed v$,$ producing electric and magnetic fields around. At the instant shown:$$

$($a$)$ find the magnitudes of electric and magnetic forces between the protons and determine their ratio Fm$/$Fe$.$

$($b$)$ Instead of protons, now two long thin insulating rods are placed parallel to each other, distance r apart. They are both charged with the same uniform charge density per unit length $=$Q$/$L$,$ creating electric fields around them. Find the electric force per unit length between the two rods.

$($c$)$ Next, both rods are pulled lengthwise, parallel to their orientation, with the same speed v$.$ In this manner, currents are created in the rods, producing magnetic fields around them. Find the magnetic force per unit length between the two rods and determine their ratio Fm$/$Fe$.$