Best straightforward method to calculate the direction of the Lorentz force

Click For Summary

Discussion Overview

The discussion revolves around methods for determining the direction of the Lorentz force, particularly focusing on the challenges posed by the vector product involved in its calculation. Participants explore various approaches and mnemonic devices to aid in understanding this concept within the context of magnetism.

Discussion Character

  • Exploratory, Conceptual clarification, Technical explanation

Main Points Raised

  • One participant expresses confusion about the direction of the Lorentz force due to its dependence on a vector product.
  • Another participant requests clarification on the specific formula causing difficulty.
  • Some participants suggest using the left hand rule for determining direction, noting that the direction flips for negative charges.
  • One participant describes a coordinate system with axes to illustrate the cross product, stating that ##\vec x \times \vec y = \vec z##.
  • Another participant shares a mnemonic involving finger positioning (thumb X index-finger = middle-finger) to help remember the right-hand rule for cross products.

Areas of Agreement / Disagreement

Participants appear to agree on the use of the left hand rule for negative charges and the right-hand rule for positive charges, but there is no consensus on a single method being the best or most straightforward.

Contextual Notes

The discussion does not resolve the potential confusion surrounding the application of the right-hand and left-hand rules, nor does it clarify the implications of using different coordinate systems or mnemonics.

Who May Find This Useful

Individuals new to magnetism or those seeking to understand the Lorentz force and its directional properties may find this discussion helpful.

greg_rack
Gold Member
Messages
361
Reaction score
79
Hi guys, I'm being introduced to magnetism, and the direction of the Lorentz force is quite confusing since it's involving a vector product.
Which method would you recommend me in order to easily deduce the direction?
 
Physics news on Phys.org
Can you write which formula you are having trouble with?
 
greg_rack said:
.. it's involving a vector product.
Which method would you recommend me in order to easily deduce the direction?

Right_hand_rule_cross_product.svg


From: https://en.wikipedia.org/wiki/Cross_product#Definition

But note that for negative charges the direction flips, so you can use the left hand.
 
  • Like
Likes   Reactions: vanhees71 and greg_rack
greg_rack said:
That's what I meant, thank you very much!
Alternatively, imagine the usual ##x-y## axes, with the x-axis pointing left to right across the page and the y-axis pointing up the page, then the z-axis is upwards from the page. And ##\vec x \times \vec y = \vec z##.
 
Last edited:
  • Like
Likes   Reactions: Ibix, vanhees71 and greg_rack
greg_rack said:
That's what I meant, thank you very much!
Note that you can cycle the fingers used. I personally find this easier to remember:

thumb X index-finger = middle-finger

because it is the finger order I use in counting.
 
  • Like
Likes   Reactions: vanhees71 and greg_rack

Similar threads

  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 61 ·
3
Replies
61
Views
6K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 55 ·
2
Replies
55
Views
3K
  • · Replies 13 ·
Replies
13
Views
7K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 42 ·
2
Replies
42
Views
7K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K