How Can I Use Magnetic Field Protractor to Solve for Magnetic Flux?

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Homework Help Overview

The discussion revolves around the application of a magnetic field protractor to solve for magnetic flux, specifically focusing on a multi-part problem involving electromagnetism and the calculation of induced current.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between magnetic flux and induced current, referencing relevant equations and the need for proper unit conversions. Questions arise about how to approach part (c) of the problem, particularly regarding the mathematical operations needed to find the rate of change of flux.

Discussion Status

Participants are actively engaging with the problem, offering insights into the necessary laws of electromagnetism and discussing the mathematical operations involved. There is a recognition of the need to express variables in terms of time, indicating a productive direction in the conversation.

Contextual Notes

There is an emphasis on ensuring correct unit conversions and a mention of the basic law of electromagnetism that relates to induced current, which may not have been fully addressed by the original poster.

Silverado
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Homework Statement


[/B]
Screenshot 2016-04-11 at 6.png


Homework Equations



R = ρ (l/A)
I = ε/R
s = rθ
Magnetic flux = Integral(B ⋅ dA)

The Attempt at a Solution


[/B]
I managed to solve parts (a) and (b) independently. Here is my work for those two parts:

20160411_182020.jpg


My real issue is with part (c) which uses the answers from (a) and (b). I have absolutely know idea how to solve part c, except that it involves in some way the formula Magnetic flux = Integral(B ⋅ dA)
 
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Be careful with converting mm2 to m2.

So far, you have not mentioned the basic law of electromagnetism that accounts for the induced current in the circuit.
 
TSny said:
Be careful with converting mm2 to m2.

So far, you have not mentioned the basic law of electromagnetism that accounts for the induced current in the circuit.

Yes, You're right. That law goes as follows:

ε = - the rate of change of flux (sorry I do not know how to write this in the proper notation)

And the induced current is found, simply, through Ohm's law: ε = iR

So how can I, with this, go about part (c)?
 
Silverado said:
ε = - the rate of change of flux
How do you find the rate of change of a quantity. What mathematical operation is involved?
 
TSny said:
How do you find the rate of change of a quantity. What mathematical operation is involved?

Take the derivative. So I can take the derivative of part (b). But theta needs to be expressed in terms of the time, t?
 
Yes.
 
TSny said:
Yes.

Thank you!
 

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