A rectangular loop of wire with sides H 33 cm and W-56 cm carries current 12- 0.

Question

A rectangular loop of wire with sides H 33 cm and W-56 cm carries current 12- 0.326 A. An infinite straight wire, located a distance L-24 cm from segment ad of the loop as shown, carries current -0.714 A in the positive y-direction. 1) What is Fad,x, the x-component of the force exerted by the infinite wire on segment ad of the loop? 2) What is Fbcx the x-component of the force exerted by the infinite wire on segment bc of the loop? 3) What is Fnet,y the y component of the net force exerted by the infinite wire on the loop? 4) Another infinite straight wire, aligned with the y-axis is now added at a distance 2L- 48 cm from segment bc of the loop as shown. A current, 13, flows in this wire. The loop now experiences a net force of zero. 2L What is the direction of along the positive y-direction along the negative y-direction 5) What is the magnitude of l3?

Explanation / Answer

1) Fad = iLB = u0*i1*i2*H/2piL

= 2e-7*0.714*0.326*0.33/0.24

= 6.4*10^-8 N answer

2) Fbc = u0*i1*i2*H/(2pi(L+W))

= -2e-7*0.714*0.326*0.33/(0.24+0.56)

= -1.92*10^-8 N answer

3) Fnet = 6.4e-8 - 1.92e-8 = 4.48*10^-8 N answer

4) along negative y direction.

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