How Do You Calculate the Length of Wire in a Generator Coil?

AI Thread Summary
To calculate the length of wire in a generator coil with 80 turns and a 0.35 T magnetic field, the relevant equations include the emf formula E = NABωsin(ωt) and the angular frequency ω = 2πf. The peak voltage is determined to be 169.71 V by converting the rms value of 120 V. The angular frequency is calculated as 376.99 rad/s using the generator frequency of 60 Hz. The user successfully solved the problem, indicating they found the necessary steps to determine the wire length.
thompson.1674
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Homework Statement


A generator uses a coil that has 80 turns and a 0.35 T magnetic field. The frequency of this generator is 60.0 Hz, and its emf has an rms value of 120 V. Assuming that each turn of the coil is a square (an approximation), determine the length of the wire from which the coil is made.


Homework Equations


E=NABwsinwt
w=2pif



The Attempt at a Solution


Vpeak=sqrt2 * 120= 169.71
w=2pi(60)=376.99
169.71=80*A*.35*376.99*(sin367.99*t)
but where do i go from here?
 
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nevermind i got it
 
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