Neco 2020 Physics Question 4

A rectangular coil of \(50\) turns has dimensions \(0.20\ \text{m}\) by \(0.10\ \text{m}\). It rotates with a constant angular speed of \(120\ \text{rad\ s}^{-1}\) about an axis that is perpendicular to a uniform magnetic field of magnitude \(0.05\ \text{T}\). The axis passes through the centre of the coil and the plane of the coil makes an angle \(\theta=\omega t\) with the field.\n(a) Determine the maximum emf induced in the coil.\n(b) If the coil's resistance is \(2\ \Omega\), find the average electrical power dissipated in the coil.\n(c) When a load resistor of \(8\ \Omega\) is connected in series with the coil, calculate the average power delivered to the load.