26. Capacitors & Dielectrics

Which physical property of an object is best quantified by its $\mathrm{capacitance}$?

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

Three capacitors with capacitances $C_1$ = $2 \mathrm{\mu F}$, $C_2$ = $4 \mathrm{\mu F}$, and $C_3$ = $6 \mathrm{\mu F}$ are connected in series. What is the total capacitance of the combination?

A cell membrane can be modeled as a parallel-plate capacitor. If the thickness of the membrane is $7.0 n^m$ and the area is $1.0 {\mathrm{\mu m}}^2$, what is the capacitance of the membrane? (Assume the dielectric constant $\kappa$ is $7.0$ and $\epsilon 0_{}$ = $8.85\times {10}^{-}$ F/m.)

If the potential difference across points a and b in a capacitor network is $12.0V$, and three capacitors $C1$, $C2$, and $C3$ are connected in series between a and b, which of the following correctly gives the equivalent capacitance $C{\mathrm{eq}}_{}$ of the network?

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?

If the potential difference across points a and b in a capacitor network is $68V$, and the network consists of two capacitors, $C_1$ and $C_2$, connected in series, which of the following statements is correct about the charge stored on each capacitor?

What is the basic unit of capacitance in the International System of Units (SI)?

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?