Hi Simon and thank you for your reply! I gave your hint a shot, and this is what I came up with:
Since the coil is of N turns, the induced emf in the coil running current through it should be given by
ε = -N(dø/dt).
ε is also given by Ohm's law, ε = IR, meaning
IR = -N(dø/dt) ⇔ dB/dt =...