Register to reply 
Relationship of W and v in a region of uniform magnetic field 
Share this thread: 
#1
Jan1613, 09:20 PM

P: 14

1. The problem statement, all variables and given/known data
2. Relevant equations W=mas. Unknown relation between W v and B 3. The attempt at a solution dW = m a ds = m dv/dt ds dW/dv =m ds/dt = ma dv So the gradient of graph W and v is positive. So it is linear. But what role does magnetic field play in this case? 


#2
Jan1613, 11:58 PM

Sci Advisor
HW Helper
P: 6,684

How is work being done here? (hint: W = Force x distance. Is there a force here? What produces the force? What determines the magnitude of the force? What is the distance through which the force acts?) What effect does v have on the force? Does v affect the distance through which the force acts? AM 


#3
Jan1713, 12:47 PM

Sci Advisor
HW Helper
P: 6,684

Just to give you a bit of a feel for what is happening here, if a current is induced in the conducting loop as it moves through the magnetic field, that current will give rise to a magnetic field that opposes the motion. So to keep it moving at constant speed, a force would have to be provided to the loop in the direction of motion. That force is proportional to the induced current. The induced current is proportional to the induced emf, which is determined by Faraday's law.
The key to the exercise is to determine when a current starts being induced and when it ends and how it depends on v. From Farday's law, the induced emf is proportional to the time rate of change of flux enclosed by the loop: So to answer the problem, you must be able to answer these questions: 1. at what position of the loop in the field does the flux enclosed by the loop start to change? (ie. when current starts to flow and when a force is needed to maintain v). 2. at what position does the flux enclosed by the loop reach and remain at 0? (ie. when current stops and no force is needed to maintain v). 3. what is the rate of change of flux enclosed by the loop between positions 1. and 2.? Is it constant or does it vary? Describe the current that is induced. Since force is directly proportional to current, describe the force required to maintain v? 4. write out the expression for work as a function of v. AM 


Register to reply 
Related Discussions  
Current carrying wire in uniform magnetic field; where is net magnetic field 0?  Introductory Physics Homework  1  
Why does the magnetic moment of a nucleon line up with a uniform magnetic field?  Classical Physics  1  
In a certain region, the earth's magnetic field has a magnitude  Introductory Physics Homework  1  
Uniform magnetic field in a spherical region  Advanced Physics Homework  2  
In a certain region of space, the electric field E is uniform.  Introductory Physics Homework  5 