A coil of copper wire of \(N\) turns is kept rotating between the poles of a permanent magnet such that the magnetic flux linking the coil changes continuously. Which of the following statements is TRUE?
A An e.m.f. is induced in the coil such that when the change of flux is positive, the e.m.f. is positive, and when the change of flux is negative, the e.m.f. is negative
B An e.m.f. is induced in the coil whose magnitude is inversely proportional to both the number of turns in the coil and the rate of change of magnetic flux
C An e.m.f. is set up in the permanent magnet which reduces the flux in the coil to zero
D A current flows in the coil and an e.m.f. is set up proportional to