Magnetic Forces acting upon a slider on rails

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
4 replies · 4K views
Peto
Messages
9
Reaction score
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!
 
Physics news on Phys.org
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.
 
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?
 
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 ?