Answer :
The speed of the projectile F= μο[tex]i^{2}[/tex]/2π ㏑(1+ W/r)i^.
The projectile's path between y+dy should be considered. Equation is used to determine the magnetic force acting on the segment as well as the magnetic field of each semi-infinite wire (the top rail is known as wire 1 and the bottom rail as wire).
The field (in the region between the wires) set up by wire 1 is into the paper (the "k" direction), and that set up by wire 2 is also into the paper. The current. in rail. 1. is in the "+ i." direction, and. the current. in rail 2 is in the. " i" direction. The force element (a function of y) acting on the segment of the projectile (in which the current runs in the − j^ direction) is provided below. The coordinate. origin is at the. bottom of the. projectile.
d F = d F1 +dF2 = idy(− j^)× B1 +dy(− j^ )× B2 =i[B 1 +B 2 ] i dy
F= μο[tex]i^{2}[/tex]/2π ㏑(1+ W/r)i^.
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