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Transcript
Voltage Induced in a Loop Rotating in a Constant Magnetic Field Important points to consider: The area vector is perpendicular to the plane of the loop. Sketch the problem. must be in rad/s. Vmax occurs when sin t = 1. Vmin occurs when sin t = 0. Use radian mode. The Problem: A simple ac alternator is used to generate a peak output voltage of 24.0 V. The square armature (rotating loops) consists of windings that are 5.0 cm on a side and rotates in a magnetic field of 0.500 T at a rate of 60 rev/s. How many loops, N, of wire must be wound on the square armature? 24.0 V Re v 2 rad rad f 60 377 s Re v s B (t ) NAB sin( t ) varies, with time, from 0 to 24 V as sin t varies from 0 to 1. Here, the voltage given is peak, so sin t must equal 1. 3 A LW 0.050m(0.050m) 2.5[10 ]m 2 (t ) NAB (1) (t ) 24.0V N 51 AB 2.5[103 ]m 2 (0.500T )377 rad s
