A single circular coil of radius 8.0 cm is mounted on a shaft so that it can rotate with constant angular speed ω about one of its diameters. The coil is placed in a uniform magnetic field of 0.20 T directed perpendicular to the rotation axis. At time t=0, the plane of the coil is perpendicular to the magnetic field.
Work through the following steps:
(i) Derive an expression for the magnetic flux through the coil as a function of time.
(ii) Obtain the rms value of the flux over one complete rotation.
(iii) For ω=10rad s−1, calculate the maximum numerical value of the time-varying flux.