Where $\mathcal{E}$ is the [[EMF]] of the battery that charges the circuit. Growth $$i(t)=\frac{\mathcal{E}}{R}(1-e^{-\frac{R}{L}t})$$ Decay $$i(t)=\frac{\mathcal{E}}{R}e^{-\frac{R}{L}t}$$