Magnitude of torque on a current loop

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SUMMARY

The discussion focuses on calculating the torque on a rectangular current loop pivoted about the y-axis, carrying a current of 16.0 A in a uniform magnetic field of 0.580 T. The torque is derived using the formula τ = NIAB sin(θ), where N is the number of loops, I is the current, A is the area of the loop, B is the magnetic field, and θ is the angle between the loop and the field. The user is specifically seeking assistance with parts (a) and (c) of the problem, which involve determining the torque required to maintain the loop's position in different magnetic field orientations.

PREREQUISITES
  • Understanding of torque in physics
  • Familiarity with vector cross products
  • Knowledge of magnetic fields and their effects on current-carrying loops
  • Proficiency in using the formula τ = NIAB sin(θ)
NEXT STEPS
  • Calculate the torque for a current loop in a magnetic field using different angles.
  • Explore the effects of varying the magnetic field direction on torque calculations.
  • Study the implications of loop area and number of turns on torque magnitude.
  • Learn about the dynamics of rotational motion in magnetic fields.
USEFUL FOR

Physics students, electrical engineers, and anyone studying electromagnetism or working with current loops in magnetic fields will benefit from this discussion.

ovoleg
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I've given this one a good effort and I cannot seem to solve it, been trying for a couple days on my own now...Anyone able to lend a hand?

I was using t=uxB(u cross B) to find the torque and then take the negative of it to find the torque that is to hold it?

vector u = I(vector A), and for this I am getting vector(A)=.0692i+.08j+.0346k
vector(B)=.58i+0j+0k
When I do the matrices for the cross(x) I get 0i+.321088j+.7424k

The only part of this that is right is the i component which is zero...

I'll be in your debt forever if you could help with a) or c)

Thanks!
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The rectangular loop in Fig is pivoted about the y-axis and carries a current of 16.0 A in the direction indicated.((It's 16A, don't mind the picture saying 15A, this is the diagram below, click link))
38333?db=v4net.jpg
a) If the loop is in a uniform magnetic field with magnitude 0.580 T in the +x-direction, find the magnitude and direction of the torque required to hold the loop in the position shown.
=

b) Repeat part (a) for the case in which the field is in the z-direction.
=

c) For each of the above magnetic fields, what torque would be required if the loop were pivoted about an axis through its center, parallel to the y-axis?
a =
b =
 
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\tau = NIAB sin \Theta

N = number of loops
I = current
A = area of loop
B = magnetic field
theta = angle between loop and field
 
andrewchang said:
\tau = NIAB sin \Theta

N = number of loops
I = current
A = area of loop
B = magnetic field
theta = angle between loop and field

I love you! why doesn't my book have this?? :*(.

Thanks a lot!
 
well it is sinQ if we take the angle of rotatation in the geomtrical center of the loop...

just for information..heh
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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