An Ac Generator Consisting of a Coil With $N$ Turns Rotating at Angular Speed

Multiple Choice

An ac generator consisting of a coil with $N$ turns rotating at angular speed $\omega$ in an external magnetic field $B$ produces a maximum emf $\varepsilon _ { 0 }$ . 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?

A) $4 \varepsilon _ { 0 }$
B) $\varepsilon _ { 0 } / 4$
C) $\varepsilon _ { 0 }$
D) $2 \varepsilon _ { 0 }$
E) $\varepsilon _ { 0 } / 2$