Answered: A technician wraps wire around a tube…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

A technician wraps wire around a tube of length 33 cm having a diameter of 8.1 cm. When the windings are evenly spread over the full length of the tube, the result is a solenoid containing 550 turns of wire.

(a) Find the self-inductance of this solenoid.
mH
(b) If the current in this solenoid increases at the rate of 6 A/s, what is the self-induced emf in the solenoid?

Expert Solution

Step 1

Given:

The length of the tube where a technician wraps wire around it is l = 33 cm

The diameter of the tube is d = 2r = 8.1 cm

The number of turns of wire around the tube is N = 550 turns

The permittivity of free space is $μ_{0} = 4 π \times 10^{- 7} H/m$

The rate of current increases in the solenoid is $\frac{d i}{d t} = 6 A/s$

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