26. Capacitors & Dielectrics

A circuit contains three capacitors: $C=2\mu F$ and $C=4\mu F$ are connected in series, and this combination is connected in parallel with a $C=6\mu F$ capacitor. What is the equivalent capacitance of the entire combination?

A $4.0\mu F$ capacitor is connected to a $12V$ battery. What is the charge stored on the capacitor?

In a circuit with a battery of emf $V$ and a capacitor of capacitance $C$ connected in series with a resistor, in the steady state, what is the charge $q$ on the capacitor?

A parallel plate capacitor has circular plates of radius $R$ separated by a distance $d$. If the space between the plates is filled with vacuum, what is the capacitance of the capacitor?

A capacitor of capacitance $C$ is connected in series with a resistor $R$ and a battery of emf $V$. The capacitor is initially uncharged. What is the charge $q$ on the capacitor immediately after the switch is closed?

A capacitor in a circuit (see figure 1) is initially uncharged. At time $t=0$, the switch is closed, connecting the capacitor $C$ in series with a resistor $R$ and a battery of emf $V$. Which expression gives the charge $q$ on the capacitor as a function of time $t$ after the switch is closed?

A parallel-plate capacitor is charged by a $20.0 V$ battery, then the battery is removed. What happens to the charge and voltage on the capacitor if the plate separation is doubled while it remains isolated?

In a circuit containing a charged $C$ (capacitor) and a switch, what happens to the charge on the $C$ immediately after the switch is thrown to connect the $C$ to a $R$ (resistor)?

When a charged capacitor is connected across a resistor by throwing a relay to the normally open ($n.o.$) position, how does the charge $q$ on the capacitor change with time?

For a parallel-plate capacitor, the capacitance is independent of which of the following quantities?

Two capacitors, $C_1$ and $C_2$, are connected in series across a battery of voltage $V$. What is the voltage $V_1$ across the first capacitor $C_1$?

A capacitor of capacitance $C$ is initially uncharged and connected in series with a resistor $R$ and a battery of emf $V$. At time $t=0$, the switch is closed to begin charging the capacitor. What is the charge $q$ on the capacitor immediately after the switch is closed?

Two capacitors, $C_1$ = $2\mu F$ and $C_2$ = $4\mu F$, are connected in series across a $12V$ battery. What is the potential difference across each 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?

What is the capacitance $C$ of a parallel-plate capacitor with plate area $A$, plate separation $d$, and dielectric constant $\epsilon$ between the plates?