DC Circuits A two-loop circuit contains a DC voltage source, resistors, inductor, and a capacitor, with a switch to include or remove the battery from the system as shown. The capacitor is initially uncharged and there is no current in the system. a. Find the current in each branch of the circuit at r = 0 when the switch is closed (each branch means through each R). b. What is the current in each branch of the circuit a very long time (100) after the switch is closed? R c. Carefully plot the current through the branch containing the capacitor as a function of time. d. Carefully plot the current through the branch with the inductor as a function of time. e. Carefully plot the current through the battery as a function of time. R R