Magnetic Forces acting upon a slider on rails

In summary, the conversation discusses a 0.40kg metal slider on conducting rails with a magnetic field of 3.0T and a current of 5.0A. The expression for the force on the conductor is F=BIl and using this, the acceleration of the slider is calculated to be 37.5m/s^2 towards the battery. However, there is confusion about the length of the conductor and the resulting force and acceleration. The direction of the force can be determined using Flemming's left hand rule.
  • #1
Peto
9
0
A 0.40kg metal slider is sitting on smooth (frictionless) conducting rails as shown below. What is the magnitude and direction of the acceleration of the slider?
Magnetic Fields.jpg

Given,

B = 3.0T I = 5.0A m = 0.40kg
R = either 0.1m or 0.05m, I am not sure if you half it because its a raidius.

How can you figure out the acceleration of the slider?
or would the acceleration be zero since the rail with the current hading left would counteract the rail with the current heading right? therefore acceleration = 0 and magnitude would not be applicable?

I'm not sure what to do here
thanks in advance for any help!
 
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  • #2
What is the expression of the force on the current carrying conductor in a magnetic field?
0.1 m is the distance between the rails. It is also the length of the conductor sliding on the rails.
 
  • #3
rl.bhat said:
What is the expression of the force on the current carrying conductor in a magnetic field?
0.1 m is the distance between the rails. It is also the length of the conductor sliding on the rails.

The expression is F=BIl
so F=(3.0T)(5.0A)(1.0m)= 15N.
Then using F=ma the acceleration would be
a=F/m=(15N)/(0.40kg)=37.5m/s^2
so if that is the acceleration, then Which way would it accelerate? Towards the battery or away?
 
  • #4
Sorry the length is 0.1m so that would give a force of 1.5N and an acceleration iof 1.5/0.4=3.75m/s^2
in which direction ?
 
  • #5
Use Flemming's left hand rule to find the direction of the force.
 

1. What is a magnetic force?

A magnetic force is a force that is exerted by a magnet on another object. It is a type of non-contact force that acts over a distance and can either attract or repel the object.

2. How do magnetic forces act upon a slider on rails?

Magnetic forces act upon a slider on rails by using a combination of magnetic fields and electricity to create a force that pushes or pulls the slider along the rail. The slider has a magnetic material attached to it, which interacts with the magnetic field and results in a force being exerted.

3. What factors affect the strength of magnetic forces acting upon a slider on rails?

The strength of magnetic forces acting upon a slider on rails can be affected by several factors, including the strength of the magnet, the distance between the magnet and the slider, and the angle at which the magnet is positioned relative to the slider.

4. How can the direction of magnetic forces acting upon a slider on rails be determined?

The direction of magnetic forces acting upon a slider on rails can be determined using the right-hand rule. This rule states that if the thumb of your right hand points in the direction of the current, and your fingers wrap around the magnetic field, your palm will face the direction of the force.

5. What are some real-world applications of magnetic forces acting upon a slider on rails?

Magnetic forces acting upon a slider on rails have many practical applications, including in transportation systems such as maglev trains, in magnetic levitation devices like hoverboards, and in industrial settings for the movement of materials along conveyor belts.

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