Electromagnetism-Radius of Curvature-Question

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Homework Help Overview

The discussion revolves around calculating the radius of curvature for a charged particle moving in a magnetic field generated by a solenoid. The original poster provides specific values for velocity, length, current, number of turns, mass of the particle, and magnetic field strength, along with an initial attempt at the calculation using the formula BIl = F.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the application of the formula BIl = F and question whether it is appropriate to use the same variables for both calculating the magnetic field and the force. There is an exploration of alternative formulas, specifically relating to the forces acting on the particle and the definitions of the variables involved.

Discussion Status

Some participants suggest reconsidering the definitions of the variables in the formulas used. There is a recognition of the discrepancy between the original calculation and the expected answer, prompting further exploration of the relationships between current, magnetic field, and force.

Contextual Notes

The discussion highlights potential confusion regarding the application of formulas in electromagnetism, particularly in distinguishing between different contexts in which the same variables are used. Participants are navigating through the implications of their calculations and the meanings of the variables involved.

RoyalFlush100
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Homework Statement


http://postimg.org/image/gdfsdglpt/

v=2.2E5 m/s
l=0.16 m
I=5.3 A
N=820
mp=1.67E-27 kg
B=3.4E-2 T

Looking for radius of curvature in the solenoid with the above variables.

Homework Equations


BIl=F

The Attempt at a Solution


BIl=mv^2/r
3.4E-2*5.3*0.16=1.67E-27*(2.2E5)^2/r
r=2.8E-15 m

The correct answer however, is 6.8E-2 m, so what did I do wrong?
 
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scharry03 said:
horizontal movement on the slope

RoyalFlush100 said:
BIl=mv^2/r
3.4E-2*5.3*0.16=1.67E-27*(2.2E5)^2/r
Think about what I and L refer to in BIL=F. You already used the length of the solenoid and the current in it to find the field. Does it make sense to be using those again to find the force?
 
haruspex said:
Think about what I and L refer to in BIL=F. You already used the length of the solenoid and the current in it to find the field. Does it make sense to be using those again to find the force?

Fm=Fc
Bqv=mv^2/r
r=mv/Bq
r=(1.67E-27*2.2E5)/(3.4E-2*1.6*10^-19)
r=6.8E-2 m

Thanks. Why didn't the other formula for force work though?
 
RoyalFlush100 said:
Fm=Fc
Bqv=mv^2/r
r=mv/Bq
r=(1.67E-27*2.2E5)/(3.4E-2*1.6*10^-19)
r=6.8E-2 m

Thanks. Why didn't the other formula for force work though?
What you calculated previously seems to be the solenoid exerting a force on another like itself. This is the danger with learning formulae but not exactly what the variables in the formula represent. It's not enough that I is a current, it matters how that current relates to the magnetic field, etc.
 

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