The hot and neutral wires supplying DC power to a light-rail commuter train carry 700 A and are separated by 70.0 cm. What is the magnitude (in N) of the force between 30.0 m of these wires?

Respuesta :

Answer:

4.197 N

Explanation:

current through the wires I = 700 A

distance between wires r = 70 cm = 0.7 m

length of each wire L = 30 m

force per unit length on the wires is given as

[tex]\frac{F}{L}[/tex] = [tex]\frac{u*I^{2} }{2\pi r }[/tex]

where u = permeability of vacuum = 1.256 [tex]10^{-6}[/tex] m-kg-[tex]s^{-2}[/tex][tex]A^{-2}[/tex]

F =  [tex]\frac{u*I^{2}L }{2\pi r }[/tex]

F =  [tex]\frac{1.256*10^{-6} *700^{2}*30 }{2*3.142*0.7 }[/tex] = 4.197 N