A Rectangle Parallel to a Magnetic Field

In summary, the conversation discusses the concept of magnetic force and torque on a rectangular loop placed parallel to a magnetic field. The formula FB= qv cross B is used to explain that the magnetic force acts perpendicular to the magnetic field. It is concluded that there can be a net torque but no net force on the loop if it is parallel to the magnetic field. The correct approach to calculate the magnetic force on each segment of the loop is also mentioned.
  • #1
aximwolf
14
0

Homework Statement



file:///Users/LabGuest/Desktop/CH26.tiff

Homework Equations



FB= qv cross B

The Attempt at a Solution




If the the rectangle is parallel to the magnetic field and we know that FB is perpendicular to the B field itself than there should be a net Torque but no net force. Is this assumption correct?

My first intuition was to say there was a net force and no net torque but I think that is wrong because magnetic force acts perpendicular to the magnetic field (B).
 

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  • #2
aximwolf said:
[

The Attempt at a Solution




If the the rectangle is parallel to the magnetic field and we know that FB is perpendicular to the B field itself than there should be a net Torque but no net force. Is this assumption correct?


Yes, it is correct. Can you explain, why?

ehild
 
  • #3
Yes because Magnetic Force = qv cross B thus it acts perpendicular to the magnetic field (B) since it is a cross product. The magnitude of the force is qvbsin(theta).
 
  • #4
But then there can be a net force on the rectangle, perpendicular to it, is it right?

What is v in the formula?

ehild
 
Last edited:
  • #5
there is a different formula (derived from the formula u wrote) used in case of currents ... do you know it?
 
  • #6
I would consider the magnetic force on each segment of the loop and sum these.
 
  • #7
WatermelonPig said:
I would consider the magnetic force on each segment of the loop and sum these.

correct way ! :approve:
 

1. What is a rectangle parallel to a magnetic field?

A rectangle parallel to a magnetic field is a rectangle-shaped object or area that is oriented in the same direction as the magnetic field lines. This means that the sides of the rectangle are parallel to the direction of the magnetic field.

2. How does a rectangle behave when placed parallel to a magnetic field?

When placed parallel to a magnetic field, a rectangle will experience a force known as magnetic force. This force will act on the sides of the rectangle, causing them to either attract or repel each other, depending on the orientation of the magnetic field.

3. What factors affect the strength of the magnetic force on a rectangle parallel to a magnetic field?

The strength of the magnetic force on a rectangle parallel to a magnetic field depends on several factors, including the strength of the magnetic field, the size of the rectangle, and the material the rectangle is made of. The orientation of the rectangle and the angle between the magnetic field and the sides of the rectangle also play a role.

4. How can a rectangle parallel to a magnetic field be used in scientific research?

A rectangle parallel to a magnetic field can be used in various scientific experiments and research studies. For example, it can be used to measure the strength of a magnetic field, study the behavior of magnetic materials, or investigate the effects of magnetic fields on different objects.

5. Are there any real-life applications of a rectangle parallel to a magnetic field?

Yes, there are many real-life applications of a rectangle parallel to a magnetic field. Some examples include magnetic levitation trains, magnetic storage devices, and MRI machines used in medical imaging. Additionally, many electronic devices, such as speakers and motors, use the principles of a rectangle parallel to a magnetic field to function.

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