Electric Circuits

What components are combined to create RC circuits?

Two capacitors with capacitances $C_1 = 2,\mu\text{F}$ and $C_2 = 4,\mu\text{F}$ are connected in series. What is the equivalent capacitance of the series combination?

Capacitors with capacitances of 3 μF and 6 μF are connected in parallel. What is the equivalent capacitance?

Three capacitors are connected as follows: $C_1 = 2,\mu\text{F}$ is in series with $C_2 = 4,\mu\text{F}$, and this combination is in parallel with $C_3 = 6,\mu\text{F}$. What is the equivalent capacitance of the entire combination?

A circuit contains two capacitors, $C_1$ and $C_2$, connected in series. If $C_1 = 2,\mu\text{F}$ and the equivalent capacitance of the series combination is $1,\mu\text{F}$, what is the value of $C_2$?

Consider a complex network of capacitors. To find the equivalent capacitance, which of the following strategies is most effective?

In an RC circuit, a resistor with resistance $R = 100 ,\Omega$ is connected in series with a capacitor of capacitance $C = 100 ,\mu\text{F}$. What is the time constant $\tau$ of this circuit?

In an RC circuit, if the resistance is doubled and the capacitance is halved, what happens to the time constant?

An RC circuit has an initial time constant $\tau$. If a second resistor, identical to the first, is added in series, and a second capacitor, identical to the first, is added in parallel, how does the new time constant $\tau'$ relate to the original?

During the charging of a capacitor in an RC circuit, how does the voltage across the capacitor change over time?