a Find the magnetic field a distance L from the wire and a d

a)

Find the magnetic field a distance L from the wire and a distance L+W from   the wire.

b)

Use your answer from a to find Fad,x, the x-­?component of the force exerted by the infinite wire on segment ad of the loop and Fbc,x, the x-­?component of the force exerted by the infinite wire on segment bc of the loop.

Solution

a)

Magnetic field at a distance of L

B=u_oI₂/2piL =(4pi*10^-7)*0.234/2pi*0.29

B=1.614*10^-7 T

Magnetic field at a distance of L+W

B=u_oI₂/2pi(L+W) =(4pi*10^-7)*0.234/2pi*(0.29+0.76)

B=4.457*10^-8 T

b)

X-component of  force exerted by the infinite wire on segment ad of the loop

F_ad,x=BI₁H

F_ad,x = (1.614*10^-7)*0.509*0.32

F_ad,x =2.63*10^-8 N

X-component of  force exerted by the infinite wire on segment bc of the loop.

F_bc,x =BI₁H =(4.457*10^-8)*0.509*0.32

F_bc,x=7.26*10^-9 N