What is the time period for a rotating coil in a constant magnetic field?

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Homework Help Overview

The discussion revolves around a circular coil rotating in a constant magnetic field, specifically focusing on the induced peak voltage and the calculation of time related to the coil's rotation frequency.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between frequency and time, questioning how to calculate the time period based on the given frequency. There is also discussion about the behavior of magnetic flux through the coil as it rotates.

Discussion Status

Some participants have offered insights into the periodic nature of the flux and how it relates to the time period of the coil's rotation. There is ongoing exploration of the implications of these calculations, with no explicit consensus reached yet.

Contextual Notes

Participants are considering the effects of a constant magnetic field and the implications of periodic functions in their calculations. There is a mention of calculus and derivatives as a potential method for further analysis.

chukie
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A circular coil, with radius of 10 cm, and 25 turns, rotates in a constant magnetic field of
strength 2.4 T, with the axis of rotation perpendicular to the direction of the magnetic
field.
If the coil rotates at a frequency of 50 Hz, what is the induced peak voltage?

Okay so I know the equation to use is:
emf=-Ndelta flux/delta t

I know all the variables in the equation except for time. I was wondering how you calculate the time. Is it just 1/50Hz?
 
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What is happening during that 1/50 of a second? The coil is being spun around an axis perpendicular to the external magnetic field. So what is going on with the flux through the coil? (The magnetic field strength is not changing at all!)
 
dynamicsolo said:
What is happening during that 1/50 of a second? The coil is being spun around an axis perpendicular to the external magnetic field. So what is going on with the flux through the coil? (The magnetic field strength is not changing at all!)

So is the change in time just 1/50=0.02s? The number seems a bit small to me.
 
Have you had calculus and used derivatives yet?

You would start by figuring out an expression for the flux as a function of time, then take the derivative.
 
chukie said:
So is the change in time just 1/50=0.02s? The number seems a bit small to me.

No. After 0.02s (or 1 period), the flux will be exactly what it was at 0.00s. This is because the flux is a periodic function of time, with period 0.02s.
 

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