A flat search coil of N N\,N turns and cross-sectional area A A\,A is made to rotate at a constant angular frequency ω \omega\,ω in a uniform magnetic field of flux density BBB. At time t=0t = 0t=0, the plane of the coil is perpendicular to the magnetic field. Let V0 V_0\,V0 be the peak value of the alternating electromotive force (emf) induced in the coil.
What is the magnitude of the induced emf at the instant when the magnetic flux linkage through the coil is equal to exactly half of its maximum value?
12V0\frac{1}{2} V_021V0
12V0\frac{1}{\sqrt{2}} V_021V0
32V0\frac{\sqrt{3}}{2} V_023V0
V0V_0V0