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Understanding Voltage Generation in Rotating Loops

Learn how voltage is induced in a rotating loop in a magnetic field with important points to consider. Calculate the number of wire loops needed for a simple ac alternator to generate a peak output voltage. Sketch the problem and use radian mode for calculations.

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Understanding Voltage Generation in Rotating Loops

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  1. 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.

  2. 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? B 24.0 V

  3.  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.

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