Problemset6_Solutions

# Problemset6_Solutions - π cm 2 It is wrapped uniformly...

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P114 PROBLEM SET 6 Spring 2007 Homework to be handed in by 1700 hours on 6 March 2007 . [1] Consider a single turn circular loop of radius 20 cm. a) At what point along the axis is the magnetic f eld 1% of that at the center? b) Find the current in the plane of the loop required to cancel the earth’s magnetic f eld of 0.7 G. [2] A wire of length 32 cm is suspended by F exible leads above a long straight wire. Equal but opposite currents I pass through the two wires such that the 32 cm wire F oats 2 mm above the long wire with no tension in the suspension leads. If the mass of the 32 cm wire is 28 gms what is the current I?. [3] A long solenoid with 50 turns/cm carries a a current of 2 A. The solenoid is f l ledw ithironandBismeasured to be 1.72 T a) Neglecting end e f ects, what is B app ? b) What is M ? c) What is the relative permeability κ m

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Unformatted text preview: π cm 2 . It is wrapped uniformly with 7500 turns of wire carrying a current of 14 A. a) What is the magnetic f eld inside the toroid at r = 20 cm? b) What is the magnetic f eld in the toroid if it is f lled with iron of permeability 500? [5] A certain cyclotron with magnetic f eld 1.8T is designed to accelerate protons to 25 MeV. a: What is the cyclotron frequency? b: What must be the minimum radius of the magnet to achieve a 25 MeV emergence energy? c: If the alternating potential applied to the dees has a maximum value of 50 kV, how many revolutions must the protons make before emerging with an energy of 25 MeV? [6] A straight wire segment −→ l = ³ 3 b i + 4 b j ´ cm carries a current of +2.5 A. If the wire is in a uniform magnetic f eld −→ B = 2 . 5 b i T, f nd the force on the wire. 1...
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Problemset6_Solutions - π cm 2 It is wrapped uniformly...

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