An 8 pole alternator operates at 900 rpm and developes an emfrepresented by a si

Question

An 8 pole alternator operates at 900 rpm and developes an emfrepresented by a sine curve having maximum value of 300v. Computea) frequency of emf                                                     b) Vinst 1/720s after passing through zero                                                     c) Rms value of the emf An 8 pole alternator operates at 900 rpm and developes an emfrepresented by a sine curve having maximum value of 300v. Computea) frequency of emf                                                     b) Vinst 1/720s after passing through zero                                                     c) Rms value of the emf

Explanation / Answer

angular frequency w = 900 rev / min                                = 900 * 2 rad / 60 s                                 =15 * 2 rad / s So, frequency f = w / 2                        = 15 Hz we know V = E sinwt         ----( 1) where V = voltage at time t            E= maximum emf = 300 V            t= 1/ 720 substitue these values in eq ( 1 ) we get        V = 300 sin ( 12 *2 / 720 )            =31.47 V (c). rms emf = E / 2                     =212.13 V

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