Magnetic Force,EMF, Flux question

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Homework Help Overview

The discussion revolves around magnetic forces, electromagnetic induction, and magnetic flux in the context of a coil subjected to a magnetic field. Participants are exploring the calculations related to these concepts, particularly focusing on a specific coil configuration and the effects of movement within a magnetic field.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • The original poster attempts to calculate the magnetic force on a loop, the magnetic flux through the loop, and the induced EMF when the loop is moved out of a magnetic field. Some participants question the assumptions made regarding the loop's shape and the parameters used in calculations.

Discussion Status

Participants are actively engaging with the original poster's calculations, providing feedback on specific aspects such as the shape of the loop and the appropriate formulas to use. There is a recognition of potential errors in the calculations, particularly regarding the use of π in the flux calculation and the need to clarify the direction of the magnetic field.

Contextual Notes

There is a noted need for clarification on the direction of the magnetic field with respect to the loop, as well as the specific section of the loop being analyzed for the magnetic force. The discussion also highlights the importance of correctly identifying the geometry of the loop in calculations.

nophun6
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I have three questions that I think I have the answers to, but would like someone to tell me if I did them correctly. Thanks!
Q1. Given B= 0.8T, a coil with 1 loop with length of 20cm, a current of 5.0A, what are the size and direction of the magnetic force on the loop?
A1. Would I just use Fm= IxBxL = (5A)(.8T)(.2m) = .8 N ?
As for the direction I know it involves the right hand rule, and the current moves to the right, so would the magnetic force be pointing up ?

Q2. What is the magnetic flux through the loop?
A2. Would I use: Flux= ABcos0 = pi(.2)^2 (.8T) (cos0) = .101 Wb ??

Q3. If the magnetic field has a cut off at the top of the loop, and the loop is pulled completely out of the field upwards at v = .2 m/s:
what EMF would be generated and if the resistance was 4 ohms, what would the current be?
A3: EMF= Blv = (.8T)(.2m)(.2m/s) = .032V
O = EMF/R = .032V / 4 ohms = .008Ado these look right? thanks.
 
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nophun6 said:
I have three questions that I think I have the answers to, but would like someone to tell me if I did them correctly. Thanks!
Q1. Given B= 0.8T, a coil with 1 loop with length of 20cm, a current of 5.0A, what are the size and direction of the magnetic force on the loop?
A1. Would I just use Fm= IxBxL = (5A)(.8T)(.2m) = .8 N ?
As for the direction I know it involves the right hand rule, and the current moves to the right, so would the magnetic force be pointing up ?

Q2. What is the magnetic flux through the loop?
A2. Would I use: Flux= ABcos0 = pi(.2)^2 (.8T) (cos0) = .101 Wb ??

Q3. If the magnetic field has a cut off at the top of the loop, and the loop is pulled completely out of the field upwards at v = .2 m/s:
what EMF would be generated and if the resistance was 4 ohms, what would the current be?
A3: EMF= Blv = (.8T)(.2m)(.2m/s) = .032V
O = EMF/R = .032V / 4 ohms = .008A


do these look right? thanks.

You have to tell us in what direction the B field is pointing! (with respect to the normal of the loop, let's say)
 
nrqed said:
About Q2: It looks like you used the length of the loop for the radius!

Pat


Oh wait, it's a *square* loop (when I saw your solution I thought you had in mind a circular loop!). Then it's ok to square the length of one side, but there shoul dbe no factor of [itex]\pi[/itex] there!
 
whoops, two things: i forgot to mention that in question 1 I nedd to find the magnetic force and direction on just the Lower section of the loop, and the second thing is i guess i wasnt thinking about the pi, thanks for pointing that mistake out.
If i am looking at just the lower section of the loop would it be: F= IBLSin(theta) where theta is 90??
thanks.
 
nophun6 said:
whoops, two things: i forgot to mention that in question 1 I nedd to find the magnetic force and direction on just the Lower section of the loop, and the second thing is i guess i wasnt thinking about the pi, thanks for pointing that mistake out.
If i am looking at just the lower section of the loop would it be: F= IBLSin(theta) where theta is 90??
thanks.

Ah.. ok. Yes, then theta is 90. I assume you know how to get the direction of the force...

And your answer for the induced emf seems correct.

Pat
 

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