Magnetic Field in Solenoid question

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Homework Help Overview

The problem involves calculating the magnetic field generated by a solenoid, specifically focusing on various configurations and distances from the solenoid. The subject area is electromagnetism, particularly the application of the Biot-Savart Law and Ampere's Law in determining magnetic fields.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to solve parts of the problem using known laws but expresses confusion regarding later sections. Some participants inquire about the specific results for initial parts and suggest using a formula related to the magnetic field.

Discussion Status

The discussion is ongoing, with participants seeking clarification and sharing resources. There is no explicit consensus, but some guidance has been offered regarding the application of relevant equations.

Contextual Notes

There is mention of the need for specific values and the implications of different solenoid lengths on the magnetic field, indicating potential constraints in the problem setup.

Oshada
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Homework Statement



Your physics lab demonstrator hands you a spool of copper wire and a battery (voltage V) and asks you to wind the wire around a hollow, cylindrical, cardboard tube (radius a) to make a solenoid of length 2L.

a) What is the amplitude of the magnetic field at the centre of the carboard tube (ie., on the axis, halfway between the ends) due to a single turn of wire at a distance z from the centre?

b) What is the amplitude of the magnetic field at the centre of the solenoid of length 2L?

c) How long should the solenoid be so that the magnetic field in PART B equals 60% of the value in an infinite solenoid?

d) In real life, for L much bigger than a, how does the magnetic field in PART B scale with L?

e) Suppose your physics lab class lasts for a very long time - long enough for you to wind a semi-infinite solenoid. What is the on-axis magnetic field at the end of the solenoid closest to you (i.e. not at infinity)?

f) What is the on-axis magnetic field a distance 2a beyond the end of the semi-infinite solenoid, as a fraction of your answer to PART E?

Homework Equations



Biot-Savart Law, Ampere's Law (maybe some others?)

The Attempt at a Solution



I can do a) using Biot-Savart Law, and b) using Ampere's Law. However I'm confused by the rest of the sections. Any help is welcome!
 
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Bump. Anyone?
 
what did you get for a) and b)? did you just use B = μ0nI ?
 
http://www.cramster.com/profile-7116314
that should help
 
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