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
66 exam-style questions on AQA A Level Physics Magnetic fields (A-level only), covering Magnetic flux density (A-level only), Moving charges in a magnetic field (A-level only), Magnetic flux and flux linkage (A-level only), Electromagnetic induction (A-level only), Alternating currents (A-level only), and The operation of a transformer (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.