Use the worked example above to help you solve this problem. An AC generator consists of eight turns of wire, each having area A = 0.0920 m2, with a total resistance of 13.8 2. The loop rotates in a magnetic field of 0.476 T at a constant frequency of 63.1 Hz. (a) Find the maximum induced emf. V (b) What is the maximum induced current? A (c) Determine the induced emf and current as functions of time. E = ( V)sin(wt) I = ( A)sin (wt) W= (d) What maximum torque must be applied to keep the coil turning? N.m

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Description**

An AC generator consists of eight turns of wire, each having an area \( A = 0.0920 \, \text{m}^2 \), with a total resistance of \( 13.8 \, \Omega \). The loop rotates in a magnetic field of \( 0.476 \, \text{T} \) at a constant frequency of \( 63.1 \, \text{Hz} \).

**Questions**

(a) **Find the maximum induced emf.**
- [Answer] V

(b) **What is the maximum induced current?**
- [Answer] A

(c) **Determine the induced emf and current as functions of time.**
- \( \mathcal{E} = ( \,\, \text{[Answer]} \,\, \text{V})\sin(\omega t) \)
- \( I = ( \,\, \text{[Answer]} \,\, \text{A})\sin(\omega t) \)
- \( \omega = \,\, \text{[Answer]} \,\, \)

(d) **What maximum torque must be applied to keep the coil turning?**
- [Answer] N·m
Transcribed Image Text:**Problem Description** An AC generator consists of eight turns of wire, each having an area \( A = 0.0920 \, \text{m}^2 \), with a total resistance of \( 13.8 \, \Omega \). The loop rotates in a magnetic field of \( 0.476 \, \text{T} \) at a constant frequency of \( 63.1 \, \text{Hz} \). **Questions** (a) **Find the maximum induced emf.** - [Answer] V (b) **What is the maximum induced current?** - [Answer] A (c) **Determine the induced emf and current as functions of time.** - \( \mathcal{E} = ( \,\, \text{[Answer]} \,\, \text{V})\sin(\omega t) \) - \( I = ( \,\, \text{[Answer]} \,\, \text{A})\sin(\omega t) \) - \( \omega = \,\, \text{[Answer]} \,\, \) (d) **What maximum torque must be applied to keep the coil turning?** - [Answer] N·m
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