A square loop with side w is mounted on a horizontal axis and rotates with a steady frequency f (rotations/sec.) A uniform magnetic field B points left to right between the two pole faces. The figure shows the configuration at time t = 0. (a) Find the EMF around this loop as a function of time for this (AC) generator. (b) If the output is connected to a load resistance R, calculate the instantaneous and average power dissipated in the resistor. Compare your results to the mechanical power needed to turn the loop. (c) If the rotation rate is 60 Hz, the loop has area 0.01m?, and the B-field is 0.01T, about how many turns of wire would you need to produce a standard 120 V (RMS) output? A common variant is to hold the loop fixed (the stator) and rotate an electromagnet coil (the rotor) around the stator. This configuration is commonly called an alternator.

A square loop with side w is mounted on a horizontal axis and rotates with a steady frequency f (rotations/sec.) A uniform magnetic field B points left to right between the two pole faces. The figure shows the configuration at time t = 0. (a) Find the EMF around this loop as a function of time for this (AC) generator. (b) If the output is connected to a load resistance R, calculate the instantaneous and average power dissipated in the resistor. Compare your results to the mechanical power needed to turn the loop. (c) If the rotation rate is 60 Hz, the loop has area 0.01m?, and the B-field is 0.01T, about how many turns of wire would you need to produce a standard 120 V (RMS) output? A common variant is to hold the loop fixed (the stator) and rotate an electromagnet coil (the rotor) around the stator. This configuration is commonly called an alternator.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.45P

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