How can I find the number of turns in a solenoid winding?

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Homework Help Overview

The discussion revolves around determining the number of turns in a solenoid winding, along with related calculations involving induced emf and flux linkage. The problem is situated in the context of inductance and mutual inductance in electrical circuits.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the use of formulas related to inductance and mutual inductance, with one participant expressing confusion over having multiple unknowns in the calculations. Questions are raised about which specific values are unknown in the inductance formula.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the problem components and exploring the relationships between the known and unknown variables. Guidance has been offered regarding the inductance formula, but no consensus or resolution has been reached yet.

Contextual Notes

Participants note the challenge of having two unknowns in the calculations, which complicates finding a solution. The original poster expresses a desire for straightforward answers, indicating a potential lack of familiarity with the topic.

kdawg4
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A 30mH solenoid inductor is wound on a form 0.4 m in length and 0.1 m in diameter. A coil is tightly wound around the solenoid at its center. the coil resistance is 5.0 ohms. The mutual inductance of the coil and solenoid is 60μH. At a given instant, the current in the solenoid is 0.3A and is decreasing at a rate of 2.5A/s.


a) Find the number of turns in the winding of the solenoid
b) Find the induced emf at the given instant.
c) At the given instant, the flux linkage N(phi) for the solenoid is...


Hey guys, really need a nice simple answer here, thank you...I'm new to the forum by the way :D
At first I used the formula mu(n1)(n2)A/L equals the mutual inductance but now I am stumped since you have 2 unknowns and I don't know how to find one of them
 
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kdawg4 said:
A 30mH solenoid inductor is wound on a form 0.4 m in length and 0.1 m in diameter. A coil is tightly wound around the solenoid at its center. the coil resistance is 5.0 ohms. The mutual inductance of the coil and solenoid is 60μH. At a given instant, the current in the solenoid is 0.3A and is decreasing at a rate of 2.5A/s.

a) Find the number of turns in the winding of the solenoid
b) Find the induced emf at the given instant.
c) At the given instant, the flux linkage N(phi) for the solenoid is...


Hey guys, really need a nice simple answer here, thank you...I'm new to the forum by the way :D
At first I used the formula mu(n1)(n2)A/L equals the mutual inductance but now I am stumped since you have 2 unknowns and I don't know how to find one of them

Hi kdawg4, Welcome to Physics Forums.

Which part of the problem are you working on? Do you know the formula for the inductance of a solenoid?
 


I am currently workingon all three, and yes I know the formula for the inductance of a solenoid
 


kdawg4 said:
I am currently workingon all three, and yes I know the formula for the inductance of a solenoid

Okay then, for part (a), what values in the formula for the inductance of the solenoid are unknowns (values that you haven't been given)?
 

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