Vector sum of magnetic and electronic forces

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SUMMARY

The discussion focuses on calculating the forces acting on an electron near a current-carrying wire. The current in the wire is 2.50 A, and the electron is initially positioned 4.50 cm above the wire, moving at a speed of 6.00×104 m/s. The magnetic field (B) at this position is determined using the formula B=(μ0*I)/(2π*r), where μ0 is 4π×10-7 Tm/A. The magnetic force on the electron is calculated using F=IlBsin(θ), emphasizing that the vector sum of forces is not necessary for this scenario.

PREREQUISITES
  • Understanding of magnetic fields generated by current-carrying wires
  • Familiarity with the Lorentz force equation for charged particles
  • Knowledge of the constants involved in electromagnetic equations, specifically μ0
  • Basic principles of vector analysis in physics
NEXT STEPS
  • Learn how to calculate magnetic fields using Ampère's Law
  • Study the Lorentz force law in detail for moving charges
  • Explore the concept of electromagnetic interactions between charges and currents
  • Investigate the effects of varying current on magnetic field strength
USEFUL FOR

Physics students, educators, and anyone interested in understanding electromagnetic forces and their applications in real-world scenarios.

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Homework Statement



A long, straight horizontal wire carries a current of 2.50 A directed toward the right. An electron is traveling in the vicinity of this wire.

A)At the instant the electron is 4.50 cm above the wire and moving with a speed of 6.00×10^4 m/s directly toward it.
What is the magnitude of the force?

B)What would be the magnitude of the magnetic force if the electron were instead moving parallel to the wire in the same direction as the current?

Homework Equations


F=IlBsin(theta)
F=ma
B=(u0*I)/(2pi*r)
u0=4pi*10^-7Tm/A

The Attempt at a Solution


I tried to find the vector sum of two forces; the electron toward the wire and the magnetic force. But how can I determine the force of electron by only knowing its final velocity?
Or am I on the wrong track?
 
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Hi there,

You are quite on the wrong track. You are only asked to find the interaction created by the current in the wire on the electron moving next to it, and not its acceleration. There is no vector sum in this case.

Cheers
 
Some guiding questions that may help:

1. What is the magnitude and direction of the magnetic field at a point 4.5 cm above the wire?

2. What formula is used to calculate the force acting on a moving charge in a magnetic field?
 

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