26. Capacitors & Dielectrics

Three capacitors, $C_1$, $C_2$, and $C_3$, are each connected to the same battery of voltage $V$. Rank the capacitors in order of the charge stored on their positive plates, from greatest to least, if $C_1>C_2>C_3$.

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?

Two capacitors with capacitances $C_1$ and $C_2$ where $C_1>C_2$ are connected in parallel to a battery of voltage $V$. Which statement is correct about the charge stored on each capacitor?

A system consists of four capacitors connected as shown, with a potential difference of $50.0V$ applied across points a and b. If the capacitances are $C_1$ = $2.0\mathrm{\mu F}$, $C_2$ = $4.0\mathrm{\mu F}$, $C_3$ = $6.0\mathrm{\mu F}$, and $C_4$ = $12.0\mathrm{\mu F}$, what is the equivalent capacitance between a and b if $C_2$ and $C_3$ are in series and their combination is in parallel with $C_4$, and this whole group is in series with $C_1$?

Which of the following devices can store large amounts of electrical energy for later use?

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

A parallel-plate air capacitor has a capacitance of $920pF$ and the charge on each plate is $3.90\mathrm{bc}C$. What is the potential difference between the plates?

A parallel-plate capacitor with capacitance $C$ is connected to a battery that provides a constant voltage $V$. What is the charge $Q$ stored on the capacitor?

Consider an air-filled charged capacitor. Which of the following actions will increase its capacitance?$$

Three capacitors with capacitances $C$, $2C$, and $3C$ are connected in series. What is the equivalent capacitance of the combination?

A parallel-plate capacitor is connected to a battery so that the left plate is connected to the positive terminal and the right plate is connected to the negative terminal. Which plate is the $\mathrm{positive}$ plate?

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 $t$?