Neco 2021 Physics Question 35

A rectangular conducting loop of resistance \(0.5\ \Omega\) has dimensions \(0.20\ \text{m}\) by \(0.30\ \text{m}\) and lies in a uniform magnetic field of \(0.40\ \text{T}\) directed into the page. (a) The loop is pulled straight out of the field so that the side of length \(0.30\ \text{m}\) remains always perpendicular to the field lines. While being pulled, the induced current measured in the loop is \(0.8\ \text{A}\). Determine the speed of the loop in metres per second. (b) If instead the loop is rotated about an axis through its centre, perpendicular to the plane of the loop, at a constant angular speed \(\omega\), what angular speed is required to produce the same maximum emf as in part (a)? Give your answers to two decimal places.