26. Capacitors & Dielectrics

In an $RC$ circuit, what is the current through the resistor at the instant when the capacitor has acquired $\frac{1}{4}$ of its maximum charge?

In a charged capacitor, where is the energy physically stored?

Given a circuit where two capacitors, each with capacitance $C$, are connected in series, and this combination is connected in parallel with a third capacitor of capacitance $C$, what is the equivalent capacitance of the entire arrangement?

A capacitor is being charged in a simple RC circuit by connecting it to a battery at time $t=0$. Which graph best represents the charge $q$ on the positive plate of the capacitor as a function of time $t$?

Two capacitors are identical in size and shape, but one is filled with a dielectric material of dielectric constant $k$ while the other is empty ($\mathrm{vacuum}$ between the plates). If both are connected to the same voltage source, which statement is correct about their capacitances?

If three capacitors with capacitances $C_1$, $C_2$, and $C_3$ are connected in series, what is the expression for the total capacitance $C_{\text{total}}$ of the combination?

A $1.50\mu F$ capacitor is charging through a $16.0\Omega$ resistor using a $15.0V$ battery. What is the time constant $\tau$ of this RC circuit?

Three capacitors with capacitances $C_1$, $C_2$, and $C_3$ are connected in series. What is the equivalent capacitance $C_{\mathrm{eq}}$ of the combination?

Which of the following correctly expresses the capacitance of an air-filled parallel plate capacitor with plate area $A$ and separation $d$?

(II) Consider the circuit shown in Fig. 26–67, where all resistors have the same resistance R. At t = 0, with the capacitor C uncharged, the switch is closed. At t = ∞, what is the potential difference across the capacitor?

Which of the following will increase the capacitance $C$ of a parallel-plate capacitor?

If you have two identical capacitors, each with capacitance $C$, and an external potential source, what is the equivalent capacitance when the capacitors are connected in series?

When two capacitors are connected in series, which of the following quantities must be the same for both capacitors?