How to Find the Induced EMF in a Coil Surrounding a Solenoid?

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Homework Help Overview

The problem involves determining the induced electromotive force (emf) in a coil surrounding a solenoid, with specific parameters given for both the coil and the solenoid. The context is rooted in electromagnetic induction and the behavior of magnetic fields in relation to changing currents.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the magnetic field characteristics of a solenoid and the magnetic flux through the coil. There is an inquiry into the difference between a coil and a solenoid, suggesting a need for conceptual clarity. One participant proposes considering mutual inductance as a potential approach to the problem.

Discussion Status

The discussion is ongoing, with participants exploring various aspects of the problem. Some have posed questions that may guide understanding, while others have expressed uncertainty about the initial steps to take. There is no explicit consensus yet, but the conversation is delving into relevant concepts.

Contextual Notes

Participants are navigating definitions and characteristics of coils and solenoids, which may influence their understanding of the problem. There is also an indication of varying levels of familiarity with the topic among participants.

stryker123
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Homework Statement



A coil of 15 turns and radius 10cm surrounds a long solenoid of radius 2cm and 1x10^3 turns/m. The current in the solenoid changes as I = (5A)sin(120t). Find the induced emf in the 15-turn coil as a function of time.


Homework Equations



emf = -Nd[flux]/dt

d[flux] = int[B*dA]


The Attempt at a Solution



I have no idea how to start this. I tried doing some basic problems, but I just do not understand any of it.
 
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What's the magnetic field inside a solenoid? What magnetic flux passes through the coil?
 
Never mind, I posted my own thread.
 
Last edited:
What is the difference between a coil and a solenoid? (I'm asking the question seriously).
 
cepheid said:
What is the difference between a coil and a solenoid? (I'm asking the question seriously).

For this problem:

COIL
mult_layer_air_coil.png


Solenoid
solenoid.jpg


In general people may (and will) say "coil" for the second case too.
 
Did you consider using the mutual inductance of the coil-solenoid system?

I have a theory question for you that might help to get you started on this problem:

What special characteristic of Mutual inductance helps us to quickly and easily solve problems like this?

Good luck,

Wynand.
 

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