The latest specs you have been give is for a solenoid that will be operated by a 1,000 V power supply. The length of solenoid (in order to work for their application) must be exactly ℓ = 22.0 cm.   A cylindrical core will be placed inside the solenoid with a radius of  rs = 1.40 cm  (luckily, this core has the same permeability of free space as air does).   The largest possible magnetic field must be able to be created inside the solenoid, but the thinnest copper wires that the Asia allow you to use are AWG 36 (which corresponds to a wire diameter of  dw = 0.127 mm. ).   What is the maximum magnitude of the magnetic field (in T) that can be created in the solenoid? (Note: the re

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
Problem 56P
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The latest specs you have been give is for a solenoid that will be operated by a 1,000 V power supply. The length of solenoid (in order to work for their application) must be exactly ℓ = 22.0 cm.

 

A cylindrical core will be placed inside the solenoid with a radius of 

rs = 1.40 cm

 (luckily, this core has the same permeability of free space as air does).

 

The largest possible magnetic field must be able to be created inside the solenoid, but the thinnest copper wires that the Asia allow you to use are AWG 36 (which corresponds to a wire diameter of 

dw = 0.127 mm.

).

 

What is the maximum magnitude of the magnetic field (in T) that can be created in the solenoid? (Note: the resistivity of copper is 

1.7 ✕ 10−8 Ω · m.

)

 T

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