A series circuit consists of an ideal inductor of inductance \(L\), a resistor of resistance \(R\), and a variable voltage source that provides a potential difference \(V(t) = \alpha t\), where \(\alpha\) is a positive constant. At time \(t = 0\), the current in the circuit is zero. Long after the source is connected, such that \(t \gg \dfrac{L}{R}\), which of the following expressions represents the current \(I(t)\) in the circuit?