A magnet rotates inside a shaped soft iron core. A coil of 400400400 turns is wrapped around the iron core and connected to an oscilloscope. As the magnet spinning at a constant rate induces an alternating current, the maximum induced e.m.f. V0V_0V0 across the coil is 3.6 V3.6\text{ V}3.6 V when the magnet is rotating at 45 revolutions per second45\text{ revolutions per second}45 revolutions per second.
Explain why the induced e.m.f. is zero at the instant when the magnetic flux linking the coil is at its maximum.
Calculate the maximum magnetic flux through a single turn of the coil using the equation:
V0=2π×f×(maximum magnetic flux linkage) V_0 = 2\pi \times f \times (\text{maximum magnetic flux linkage}) V0=2π×f×(maximum magnetic flux linkage)Give a suitable unit with your answer.
