26. Capacitors & Dielectrics

Two 3.0-cm-diameter aluminum electrodes are spaced 0.50 mm apart. The electrodes are connected to a 100 V battery. What is the capacitance?

Two capacitors, $C_1$ and $C_2$, are connected in series across a battery of voltage $V$. What is the charge $q_1$ stored on capacitor $C_1$?

Three capacitors, each with capacitance $C$, are connected in series. What is the equivalent capacitance of the combination?

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?

A network consists of three capacitors: $C1$ and $C2$ are connected in series, and their combination is connected in parallel with $C3$. Which expression gives the equivalent capacitance $C{a}_{\mathrm{eq}}$ of the network?

Two capacitors, $C_1$ = $2.0$ $\mu$$F$ and $C_2$ = $4.0$ $\mu$$F$, are connected in series across a $12$ $V$ battery. What is the charge on each capacitor (in $\mu$$C$)? Enter your answers as $Q_1$, $Q_2$.

In a parallel-plate capacitor, if the electric potential is defined as $V=0$ at the negative plate, which of the following statements is correct about the electric potential at a point located closer to the positive plate?

Three capacitors with capacitances $C$, $C$, and $C$ are connected in series. What is the equivalent capacitance of this combination?

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?