Two capacitors C1 and C2 and two resistors are connected to a battery in an arrangement as shown in Figure 2. Given that, R is 100 Ω and C1 = C2 = 500 μF, calculate the time constant for the circuit. After fully charged, the capacitors are disconnected from the battery, E. Calculate the time taken for total energy stored and charge in the two capacitors to become half of the initial value. Now the two capacitors C1 and C2 are rearranged as Figure 2 (b) below, and capacitor C1 is filled with the dielectric material between two parallel plates, compare what will happen to the energy stored and charge in the capacitors (if any).