Torque on a small loop by a large loop?

In summary, torque on a small loop by a large loop refers to the rotational force between two magnetic loops. It can be calculated using the formula τ = μ₁μ₂sinθ and is affected by factors such as magnetic field strength, distance, and orientation. This concept is utilized in various scientific research fields and can be controlled through adjustments in magnetic fields and loop properties.
  • #1
zyphriss2
18
0
A small loop of wire of radius 2.0 cm is placed at the center of a wire loop with radius 24 cm. The planes of the loops are perpendicular to each other, and a 6.0 -A current flows in each. Estimate the magnitude of the torque the large loop exerts on the smaller one.

I know the rules but I honestly have no Idea on where to start.
 
Physics news on Phys.org
  • #2
Start by figuring out the magnetic field at the center of the large loop.
 
  • #3


I would approach this problem by first understanding the concept of torque and its formula, which is the product of force and the perpendicular distance from the pivot point. In this case, the pivot point would be the center of the smaller loop.

To calculate the torque exerted by the larger loop on the smaller one, we need to determine the force between the two loops. This can be done using the formula for magnetic force, which is given by F = ILB, where I is the current, L is the length of the wire, and B is the magnetic field strength. In this case, both loops have the same current of 6.0 A, and the length of the wire is the circumference of the loop, which can be calculated using the formula 2πr. Therefore, the force between the two loops can be calculated as F = 6.0*2π*(0.02+0.24) = 9.48 N.

Next, we need to determine the perpendicular distance from the pivot point to the line of action of the force. In this case, since the planes of the loops are perpendicular to each other, the line of action of the force would be the radius of the larger loop, which is 0.24 m. Therefore, the perpendicular distance would be 0.24 m.

Now, we can calculate the torque exerted by the larger loop on the smaller one using the formula for torque, which is T = F*d, where d is the perpendicular distance. Plugging in the values, we get T = 9.48*0.24 = 2.27 Nm.

Therefore, the estimated magnitude of the torque exerted by the larger loop on the smaller one is 2.27 Nm. This means that the larger loop is exerting a considerable amount of torque on the smaller one, which could potentially cause the smaller loop to rotate or move. Further analysis and calculations can be done to determine the exact direction and effect of this torque on the smaller loop.
 

1. What is torque on a small loop by a large loop?

Torque on a small loop by a large loop refers to the rotational force exerted on a small magnetic loop by a larger magnetic loop. It is the result of the interaction between the magnetic fields of the two loops.

2. How is torque on a small loop by a large loop calculated?

The torque on a small loop by a large loop can be calculated using the formula: τ = μ₁μ₂sinθ, where τ is the torque, μ₁ and μ₂ are the magnetic dipole moments of the small and large loops, and θ is the angle between the two magnetic fields.

3. What factors affect the torque on a small loop by a large loop?

The torque on a small loop by a large loop is affected by the strength of the magnetic fields, the distance between the two loops, and the orientation of the loops relative to each other.

4. How is torque on a small loop by a large loop used in scientific research?

Torque on a small loop by a large loop is used in various scientific research fields, such as electromagnetism, magnetohydrodynamics, and plasma physics. It can also be used in practical applications, such as in electric motors and generators.

5. Can the torque on a small loop by a large loop be controlled?

Yes, the torque on a small loop by a large loop can be controlled by adjusting the strength and orientation of the magnetic fields, as well as the distance between the two loops. This can be done using external magnetic fields or by changing the properties of the materials used in the loops.

Similar threads

  • Introductory Physics Homework Help
Replies
1
Views
612
  • Introductory Physics Homework Help
Replies
3
Views
3K
  • Introductory Physics Homework Help
Replies
7
Views
139
  • Introductory Physics Homework Help
Replies
10
Views
3K
  • Introductory Physics Homework Help
Replies
8
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
855
  • Introductory Physics Homework Help
Replies
17
Views
2K
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
3K
  • Introductory Physics Homework Help
Replies
11
Views
394
Back
Top