Explaining F=BIl and F=Bqv for Many Charges

  • Context: Undergrad 
  • Thread starter Thread starter poojarao
  • Start date Start date
  • Tags Tags
    Electromagnetic Forces
Click For Summary
SUMMARY

The discussion clarifies the relationship between the equations F = BIl and F = Bqv, demonstrating that they represent the same physical principle when considering multiple charges. By defining current (I) as charge (q) over time (t) and velocity (v) as distance (l) over time (t), the equations can be transformed into each other. The Lorentz Force Law is highlighted, emphasizing the mutual orthogonality of the vectors involved, specifically F, I, and B or F, v, and B. This understanding is crucial for comprehending electromagnetic forces acting on charged particles in a conductor.

PREREQUISITES
  • Understanding of the Lorentz Force Law
  • Familiarity with vector mathematics and cross products
  • Basic knowledge of electric current and charge
  • Concept of electromagnetic fields
NEXT STEPS
  • Study the derivation of the Lorentz Force Law in detail
  • Explore vector calculus, focusing on cross products and their applications
  • Learn about electromagnetic field theory and its implications for charged particles
  • Investigate practical applications of F = BIl and F = Bqv in engineering contexts
USEFUL FOR

Physics students, electrical engineers, and anyone interested in the principles of electromagnetism and their applications in real-world scenarios.

poojarao
Messages
15
Reaction score
0
Speed = distance/time and current = charge/time. Explain how F=BIl is actually the same equation as F= Bqv but considered for many charges in a group?

can someone please explain with working out please?

thanks
 
Physics news on Phys.org
Lets say that you had a wire with a length l. Let's say that traveling through that length is a net charge q, with an average velocity of v. v = distance/time, in which in this case, v = l/t. The current is I = charge/time = q/t. Therefore, F = B*q*(l/t) = B*(q/t)*l = BIl.
 
thanks a lot!
 
For clarity, these two equations (part of the Lorentz Force Law) are written as

F = l(I x B) = q(v x B)

where x indicates the cross product. meaning that the vectors F,I and B; or F,v,and B are all mutually orthogonal.
 
The I/v vectors need not be orthogonal with the B vector.
 

Similar threads

Undergrad Confused about electromotive forces
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad Applying Lorentz Force correctly
  • · Replies 1 ·
Replies
1
Views
721
Undergrad Rate of work done by F on charge carrier with average velocity v
  • · Replies 6 ·
Replies
6
Views
2K
High School Applying the Gauss (1835) formula for force between 2 parallel DC currents
  • · Replies 6 ·
Replies
6
Views
625
Undergrad Positive Charges: Explaining Motion Despite Net Force = 0
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Do electromagnetic fields have momentum?
  • · Replies 15 ·
Replies
15
Views
2K
Undergrad Griffith, Electrodynamics, 4th Edition, Example 4.8. (Second part)
  • · Replies 3 ·
Replies
3
Views
547
Undergrad Capacitor surface charge movement current, relativistic effects
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Magnetic field as result of length contraction
  • · Replies 20 ·
Replies
20
Views
5K
Undergrad Charge movement relative to magnetic field frame dependence/invariance
  • · Replies 5 ·
Replies
5
Views
1K