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HW _13 P2213 F09(2)

# HW _13 P2213 F09(2) - Physics 2213 Homework#13 Fall 2009...

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1 Physics 2213 Homework #13 Fall 2009 Due : the last recitation class of the week of December 1-5. Read: Chapter 30 Exercises and Problems (8 problems, to be handed in) : (1) [World's Largest Inductor ?] The enormous elementary particle detector at the Large Hadron Collider, known as the Compact Muon Solenoid (CMS), boasts the world's largest electromagnet: a solenoid 6.0 m in diameter, 12.5 m in length, carrying 20000 A of electric current, and producing a magnetic field of 4.0 T at its middle. (a) Use this information to estimate the number of coils of wire in this solenoid. (You can assume that the infinitely long solenoid approximation applies here.) (b) Estimate the inductance of this solenoid, approximating the magnetic field inside the solenoid to be uniform along its entire length. (c) How much time (in s and min) would it take to build up the full electric current in the solenoid from zero, if the induced emf in the solenoid is to be no more than 200 V in magnitude during the process? (You may assume that the rate at which the current builds up is constant.)

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