Neco 2019 Physics Question 42

A rectangular conducting loop of width \(w = 0.12\,\text{m}\) and length \(l = 0.30\,\text{m}\) is pulled into a uniform magnetic field \(B = 0.6\,\text{T}\) (directed into the page). The loop starts from rest outside the field and moves with constant acceleration, entering the field completely after \(0.50\,\text{s}\). The loop resistance is \(0.5\,\Omega\) and it is connected in series with an external resistor of \(4.5\,\Omega\).\n\n(a) Find the magnitude of the induced emf at the instant when exactly half of the loop has entered the field.\n\n(b) Determine the total charge that passes through the external resistor during the whole \(0.50\,\text{s}\) interval.