# RC Circuit Reduction#

Consider the RC circuit shown below. Here, $$C_1 = {{ params.c1 }}$$ $$\rm{\mu F}$$, $$C_2 = {{ params.c2 }}$$ $$\rm{\mu F}$$, $$C_3 = {{ params.c3 }}$$ $$\rm{\mu F}$$, and $$C_4 = {{ params.c4 }}$$ $$\rm{\mu F}$$.

In this problem we will find the equivalent capacitance of this capacitor system in two steps. We will then use this result to determine the carge stored in the capacitor system.

## Part 1#

Select the capacitors that are in parallel with eachother.

• $$C_1$$

• $$C_2$$

• $$C_3$$

• $$C_4$$

## Part 2#

Redraw the circuit by replacing the capacitors that you identified in Part 1 by an equivalent capacitor with capacitance $$C_5$$. Determine value of $$C_5$$.

Please enter an answer in $$\rm{\mu F}$$.

## Part 3#

For your redrawn circuit, select the capacitors that are in series with each other. Do not select any capacitors that you have replaced.

• $$C_1$$

• $$C_2$$

• $$C_3$$

• $$C_4$$

• $$C_5$$

## Part 4#

Redraw the circuit by replacing the capacitors that you identified in Part 3 by an equivalent capacitor with capacitance $$C_6$$. Determine the value of $$C_6$$.

Please enter an answer in $$\rm{\mu F}$$.

## Part 5#

Find the time constant $$\tau$$ for this circuit.

Please enter an answer in $$\rm{s}$$.

## Part 6#

Find the maximum charge $$Q$$ that can be stored in this capacitor system.

Please enter an answer in $$\rm{C}$$.