(Solved): Problem 1 . The following equation shows the charge \( (\mathrm{Q}) \) changes in a circuit with ti ...

Problem 1 . The following equation shows the charge \( (\mathrm{Q}) \) changes in a circuit with time \( (\mathrm{t}) \), where \( \alpha \) is a constant number. \[ Q=\frac{t}{\alpha^{2}}+\frac{t^{2}}{\alpha}-\frac{3}{\alpha} e^{-\alpha t} \] (1) Calculate the current as a function of time (t). (2) Calculate the current at \( \mathrm{t}=3 \mathrm{~s} \).