All the capacitors in a given circuit are initially fully charged with all switches open. At a later time t , all the switches are simultaneously closed. The current flowing through the circuit at that instant is given by

Step-by-step solution

In the initial steady state with all switches open, the capacitors act as open circuits, meaning no direct current flows through the circuit. The top wire is connected to ground at the first node and also through R_L at the end. Since there is no voltage source in this path, the potential of all nodes on the top wire is 0 . The bottom wire is connected to the lower terminal of the battery. Assuming the top terminal of the battery is positive, the potential of the bottom wire is -V₀ . Since no current flows, all nod