A capacitor with initial charge q0 is discharged through a resistor. What multiple of the time constant τ gives the time the capacitor takes to lose (a) the first 1/5-th of its charge and (b)4/5-th of its charge?

Two capacitors C₁ = 4 μF and C₂ = 6 µF are connected in series across a 5V battery and charged. What is the total energy stored on the capacitors when fully charged?

Consider the circuit shown in the figure. Before the two capacitors were inserted into the circuit, they were fully charged by a 23.0 V battery. Imagine that the switch is now closed. 3.00 pF 2.00 pF HE W 500 Ω (a) After a time interval of 2.00 ms, what is the value of the remaining charge (in μC) on the 3.00 μF capacitor? μC (b) After a time interval of 2.00 ms, what is the value of the remaining charge (in μC) on the 2.00 μF capacitor? με (c) What is the current (in mA) in the resistor at this time? mA

a potential difference of V = 85.1 V is applied across a capacitor arrangement with capacitances C1 = 10.3 μF, C2 = 5.37 μF, and C3 = 3.75 μF. If capacitor 3 undergoes electrical breakdown so that it becomes equivalent to conducting wire, what is the increase in (a) the charge on capacitor 1 and (b) the potential difference across capacitor 1?