26. Capacitors & Dielectrics

A parallel-plate capacitor has plates of area $A$ separated by a distance $d$, filled with Teflon (dielectric constant $k=2.1$). What is the capacitance of the capacitor?

Two capacitors, $C_1$ and $C_2$, are connected in series across a battery of voltage $V$. What is the potential difference across each capacitor?

In a circuit where a capacitor of capacitance $C$ is discharged through a resistor of resistance $R$, what is the time constant $\tau$ for the discharge process?

Two capacitors, each with capacitance $C$, are connected in series across a battery of voltage $V$. What is the charge on each capacitor?

If the potential difference across points a and b in a capacitor network is $220 V$, and three capacitors of $2.0 \mathrm{\mu F}$, $3.0 \mathrm{\mu F}$, and $6.0 \mathrm{\mu F}$ are connected in series between a and b, what is the charge stored on the $2.0 \mathrm{\mu F}$ capacitor?

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?

In an $RC$ circuit, what is the time constant for the discharge of the capacitor?

Four capacitors with capacitances $C_1$, $C_2$, $C_3$, and $C_4$ are connected in series. What is the equivalent capacitance of the combination?

Three capacitors, $C_1$ = $2 \mathrm{\mu F}$, $C_2$ = $4 \mathrm{\mu F}$, and $C_3$ = $6 \mathrm{\mu F}$, are connected such that $C_2$ and $C_3$ are in parallel, and this combination is in series with $C_1$. What is the net capacitance of the entire combination?

If three capacitors, each with capacitance $C$, are connected in series, what is the equivalent capacitance of the combination?

What is the primary role of the insulating material ($\mathrm{dielectric}$) placed between the plates of a $\mathrm{capacitor}$?

In an AC circuit with a capacitor, if the energy stored in the capacitor reaches the value calculated in part $\left(a\right)$ at its maximum, how many times per second does the capacitor reach this maximum energy value during one complete cycle of the alternating voltage?

When the switch in a circuit containing two capacitors in series is closed at $t=0s$, what happens to the total charge stored on the series combination immediately after closing the switch?

When two or more capacitors are connected in parallel across a potential difference, which of the following statements is correct?

For a parallel-plate capacitor with charge $Q$ stored on its plates and capacitance $C$, what is the voltage $V$ between the plates of the capacitor?