Compute the each part of given problem:
Problem: A series RC circuit has a time constant of 1.0 s. The battery has a voltage of 50 V and the maximum current just after closing the switch is 500 mA. The capacitor is initially uncharged.
Part 1: What is the charge on the capacitor 2.0 s after the switch is closed?
Part 2: What is the current running through the resistor 2.0 s after the switch is closed.
Show all work, use additional paper if necessary.