Why is the right-hand rule used for both current and angular momentum?

  • Context: Undergrad 
  • Thread starter Thread starter nuby
  • Start date Start date
Click For Summary
SUMMARY

The right-hand rule is universally applied to both electric current in wires and angular momentum in gyroscopes due to the vector nature of these phenomena. Both concepts involve defining a perpendicular vector to the plane of rotation or magnetic field, which is standardized through a single convention established by physicists. This convention simplifies the understanding of rotational dynamics and magnetic interactions, ensuring consistency across various applications in physics.

PREREQUISITES
  • Understanding of vector mathematics
  • Familiarity with angular momentum concepts
  • Basic knowledge of electromagnetism
  • Awareness of right-hand coordinate systems
NEXT STEPS
  • Study the mathematical representation of angular momentum in physics
  • Explore the principles of electromagnetism, focusing on magnetic fields and currents
  • Investigate the applications of the right-hand rule in different physical systems
  • Learn about circular and elliptical polarization in wave mechanics
USEFUL FOR

This discussion is beneficial for physics students, educators, and professionals seeking to deepen their understanding of rotational dynamics and electromagnetic theory.

nuby
Messages
336
Reaction score
0
Why does the right-hand rule apply to both current in a wire and angular momentum in a gyroscope? Is there there a common denominator between the two effects?
 
Physics news on Phys.org
Both rotation and the curl of magnetic fields are expressed using vectors which are perpendicular to the plane in which the rotation occurs. In any such situation, it is possible to define the perpendicular vector in two distinct ways. Thankfully, physicists long ago decided to use a single convention for all such decisions.

- Warren
 
chroot said:
perpendicular to the plane in which the rotation occurs.

I think it is more accurate to say "perpendicular to the axis/vector about which the rotation occurs".

I'd agree that right-hand coordinate systems are the norm, but circular/elliptical polarization is still a two-handed convention within a one-handed system.

Regarding the gyroscope, if you use the "curl" of the fingers on your right hand to indicate positive rotation about the vector your thumb points in, you need only point your thumb in the opposite direction (or swap hands) to change the sign of the angular velocity of the gyroscope with respect to "the thumb". Handedness is only a convention - I wouldn't try to read more into it than that.

Regards,

Bill
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 61 ·
3
Replies
61
Views
6K
  • · Replies 8 ·
Replies
8
Views
8K
  • · Replies 32 ·
2
Replies
32
Views
4K