Question

A rectangular loop of wire with sides H = 27 cm and W = 74 cm carries current I₂ = 0.187 A. An infinite straight wire, located a distance L = 25 cm from segment ad of the loop as shown, carries current I₁ = 0.781 A in the positive y-direction.

1)

What is F_ad,x, the x-component of the force exerted by the infinite wire on segment ad of the loop?

N

You currently have 0 submissions for this question. Only 10 submission are allowed.
You can make 10 more submissions for this question.

2)

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

N

You currently have 0 submissions for this question. Only 10 submission are allowed.
You can make 10 more submissions for this question.

3)

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

N

You currently have 0 submissions for this question. Only 10 submission are allowed.
You can make 10 more submissions for this question.

5)

What is the magnitude of I₃

Answer 1

Here is what I solved before. Please substitute the figures as per your question. Let me know if you want some clarification on it. Please rate 5 stars if I succeeded in helping you

A rectangular loop of wire with sides H = 29 cm and W = 75 cm carries current I₂= 0.202 A. An infinite straight wire, located a distance L = 26 cm from segment ad of the loop as shown, carries current I₁= 0.79 A in the positive y-direction.

1)

What is F_ad,x, the x-component of the force exerted by the infinite wire on segment ad of the loop?

2)

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

3)

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

4)

What is the magnitude of I₃?

5)

Another infinite straight wire, aligned with the y-axis is now added at a distance 2L = 52 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.

1)

Fad,x, the x-component of the force exerted by the infinite wire on segment ad of the loop?

Fad=B*I2*Lad* sin(90)...


B=uo*i1/(2*pi*L)=6.07*10^-7 T

Fad=0.355*10^-7 N


2)

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



Fbc,x=0..since Fnet on bc acts towards negative y-axis


3)

Fnet,y, the y-component of the net force exerted by the infinite wire on the loop?
Fnet=0.355*10^-7 N - 1.56*10^-7=-1.209 *10^-7 N
4)


the magnitude of I3


net magnetic field due to i3 at cb must be 1.56*10^-7 N to get net force on the loop is zero

B=uo*i3/(2*pi*2L)= 1.56*.26=0.4056 A



5) the direction is along the positive y-direction