A rectangular loop of wire with sides H = 31 cm and W = 66 cm carries current I

Question

A rectangular loop of wire with sides H = 31 cm and W = 66 cm carries current I2 = 0.391 A. An infinite straight wire, located a distance L = 35 cm from segment ad of the loop as shown, carries current I1 = 0.603 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?

xxx N

2)

What is Fbc,x, the x-component of the force exerted by the infinite wire on segment bc of the loop?.

xxx N

3)

What is Fnet,y, the y-component of the net force exerted by the infinite wire on the loop?

xxx N

4)

Another infinite straight wire, aligned with the y-axis is now added at a distance 2L = 70 cm from segment bc of the loop as shown. A current, I3, flows in this wire. The loop now experiences a net force of zero.

What is the direction of I3?

a. along the positive y-direction

b. along the negative y-direction

5)

What is the magnitude of I3?

xxx   A

help !

Wire and Rectangular Loop A rectangular loop of wire with sides H 31 cm and w = 66 cm carries current 12 = 0.391 A. An infinite straight wire, located a distance L = 35 cm from segment ad of the loop as shown, carries current h = 0.603 A in the positive y-direction W I 1) What is Fad,x, the x-component of the force exerted by the infinite wire on segment ad of the loop? N Submit You currently have 0 submissions for this question. Only 5 submission are allowed. You can make 5 more submissions for this question. 2) What is Fbc,x, the x-component of the force exerted by the infinite wire on segment bc of the loop?. N Submit You currently have 0 submissions for this question. Only 5 submission are allowed. You can make 5 more submissions for this question. 3) What is Fnety, the y-component of the net force exerted by the infinite wire on the loop? N Submit You currently have 0 submissions for this question. Only 5 submission are allowed. You can make 5 more submissions for this question. 4) Another infinite straight wire, aligned with the y-axis is now added at a distance 2-70 cm from segment bc of the loop as shown. A current, Is, flows in this wire. The loop now experiences a net force of zero 2L W I What is the direction of I3? O along the positive y-direction 0 along the negative y-direction Submit You currently have 0 submissions for this question. Only 5 submission are allowed. You can make 5 more submissions for this question. 5) What is the magnitude of Submit You currently have 0 submissions for this question. Only 5 submission are allowed. You can make 5 more submissions for this question.

Explanation / Answer

1) Fad,x=I1I2*muo0*H/2pi*L= 0.603 *0.391*4pi*10^7*0.31/2pi*0.35=0.418e7 N, positive x direction

2) Fbc,x=I1I2*muo0*H/2pi*(L+W) =0.603 *0.391*4pi*10^7*0.31/2pi*(0.35+0.66)=0.145e7 N, -x direction

3) Fnet,y=0

4) Net force=Fad,x-  Fbc,x=0

Fcb=I3I2*muo0*H/2pi*(2L)

Fda=I3I2*muo0*H/2pi*(2L+W)

Net=Fcb-Fda=(I3I2*muo0*H/2pi)*[1/2L-1/(2L+W)]=Fad,x-  Fbc,x=0.418e7-0.145e7=0.273e7

I3=0.273e7*2pi/I2*muo0*H*[1/2L-1/(2L+W)] =0.273e7*2*3.14/0.391*4pie7*0.31*[1/2*0.35-1/(2*0.35+0.66)]=1.62 A

along the negative y-direction i.e option b

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