Vector sum of magnetic and electronic forces

AI Thread Summary
The discussion focuses on calculating the forces acting on an electron near a current-carrying wire. For part A, the magnitude of the magnetic field at a point 4.5 cm above the wire is essential for determining the force on the electron moving toward the wire. In part B, the magnetic force is evaluated when the electron moves parallel to the wire in the same direction as the current. The key equations involve the force on a moving charge in a magnetic field and the magnetic field generated by the current in the wire. The conversation emphasizes understanding the interaction between the current and the electron rather than calculating acceleration.
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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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