879_Physics ProblemsTechnical Physics

879_Physics ProblemsTechnical Physics - 219 Chapter 31...

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Chapter 31 219 *P31.14 (a) Each coil has a pulse of voltage tending to produce counterclockwise current as the projectile approaches, and then a pulse of clockwise voltage as the projectile recedes. (b) v d t == × = 150 10 625 3 . m 2.40 s ms V 1 V 2 t 0 V FIG. P31.14 P31.15 εθ θ d dt NB NB t A A 2 2 cos cos ej A × ×− × ° = −− ε t cos .. cos . . 80 0 10 0 400 50 600 10 200 10 30 0 136 3 66 V s T T m af a f a f Length = 44 1 3 6 5 0 2 7 2 A N m m a f *P31.16 (a) Suppose, first, that the central wire is long and straight. The enclosed current of unknown amplitude creates a circular magnetic field around it, with the magnitude of the field given by Ampere’s Law. Bs ⋅= z dI µ 0 : B It R = µω π 0 2 max sin at the location of the Rogowski coil, which we assume is centered on the wire. This field passes perpendicularly through each turn of the toroid, producing flux BA 0 2 IA t R max sin . The toroid has 2 Rn turns. As the magnetic field varies, the emf induced in it is επ ωµ ω =− ⋅ =− N d dt Rn IA R d dt tI n A t 2 2 0 0 max max sin cos . This is an alternating voltage with amplitude
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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