An ac generator consisting of a coil with N turns rotating at angular speed ? in

Question

An ac generator consisting of a coil with N turns rotating at angular speed ? in an external magnetic field B produces a maximum emf ?0.If you now decrease the number of turns in the coil to N/2 and at the same time cause it to rotate twice as fast, what will be the new maximum emf if you do not change any of the other quantities? An ac generator consisting of a coil with N turns rotating at angular speed ? in an external magnetic field B produces a maximum emf ?0.If you now decrease the number of turns in the coil to N/2 and at the same time cause it to rotate twice as fast, what will be the new maximum emf if you do not change any of the other quantities?

Explanation / Answer

Et = BAN? sin(?t)
Peak emf Eo = BAN?

B = field strength
A = coil area
N = No.of turns on coil
? =angular speed, rad/s .. (? = 2?f)
t = time, s  

So initially EMF0 = BANw

And now EMF1 = B * (N/2)*A* 2w

EMF1 = BNAw *(2/2)

  EMF1 = BNAw

So emf does not change

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