Vector sum of magnetic and electronic forces

In summary: What are the values of the variables in the formula?In summary, to find the magnitude of the magnetic force on the electron near a wire carrying a current, use the formula F=IlBsin(theta) and determine the value of B at the given distance from the wire. Then, use the formula F=ma to find the force acting on the electron. Remember to use the appropriate units and constants.
  • #1
grandioso50
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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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  • #2
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
 
  • #3
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?
 

FAQ: Vector sum of magnetic and electronic forces

What is the vector sum of magnetic and electronic forces?

The vector sum of magnetic and electronic forces is the resultant vector obtained when two or more forces acting on an object are combined. It takes into account both the direction and magnitude of each individual force.

How do magnetic and electronic forces combine to create a vector sum?

Magnetic and electronic forces combine through vector addition, where the individual force vectors are added together to determine the resultant vector. This can be done graphically or mathematically using the principles of vector addition.

What is the significance of the vector sum of magnetic and electronic forces?

The vector sum of magnetic and electronic forces is important because it determines the overall direction and magnitude of the resulting force on an object. It helps in understanding the behavior and movement of objects in the presence of multiple forces.

Can the vector sum of magnetic and electronic forces be zero?

Yes, the vector sum of magnetic and electronic forces can be zero if the individual forces cancel each other out. This means that the net force on the object is zero and it will remain in a state of equilibrium.

How do the vector sum of magnetic and electronic forces affect the motion of charged particles?

The vector sum of magnetic and electronic forces can affect the motion of charged particles by changing their direction and speed. This is due to the fact that charged particles experience these forces in different directions, causing them to move in a curved path rather than a straight line.

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