homework8 - Harvard University Department of Physics Spring Semester 2009 Physics 15b Electricity Magnetism Problem Set#8 Due Friday at 4 PM 1(Purcell

homework8 - Harvard University Department of Physics Spring...

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Harvard University Department of Physics Spring Semester 2009 Physics 15b Electricity & Magnetism Problem Set #8 Due Friday, April 17, 2009 at 4 PM 1. (Purcell 7.21) The figure shows a solenoid of radius a 1 and length b 1 located inside a longer solenoid of radius a 2 and length b 2 . The total number of turns is N 1 on the inner coil, N 2 on the outer. Work out a formula for the mutual inductance M . (Assume b 2 is very large.) Purcell 7.21 2 a 1 2 a 2 b 1 b 2 N 2 turns N 1 turns 2. A superconducting solenoid in the ATLAS detector ( magnet.html) is 2.4 m in diameter and 5.3 m long. The design field is 2 tesla. Estimate roughly the energy stored in the field of this coil, in joules. (If the solenoid “quenches,” i.e., loses superconductivity during operation, the stored energy must be dissipated by redirecting the current into a massive resistor; otherwise the coil would be destroyed by the heat.) 3. (Purcell 8.4) In the resonant circuit of the figure the dissipative element is a resistor R
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