Capacitor Charge Voltage
1. **Problem statement:**
We have five capacitors $C_1, C_2, C_3, C_4, C_5$ in a circuit. Capacitors $C_2, C_3, C_4,$ and $C_5$ each have a charge of $6.0\ \mu C$. The potential drop across $C_3$ is $V_3 = 11\ V$. We need to find the charge stored by $C_1$ ($Q_1$) and the potential drop across $C_4$ ($V_4$).
2. **Relevant formulas and rules:**
- The charge $Q$ on a capacitor is related to its capacitance $C$ and voltage $V$ by $Q = CV$.
- Capacitors in series have the same charge.
- Capacitors in parallel have the same voltage.
3. **Assumptions and analysis:**
Since $C_2, C_3, C_4, C_5$ all have the same charge $6.0\ \mu C$, they are likely in series or arranged so that these capacitors share the same charge.
Given $V_3 = 11\ V$ and $Q_3 = 6.0\ \mu C$, we can find $C_3$:
$$C_3 = \frac{Q_3}{V_3} = \frac{6.0\times10^{-6}}{11} = 5.45\times10^{-7}\ F$$
4. **Finding $Q_1$:**
If $C_1$ is in series with the others, it will have the same charge $Q_1 = 6.0\ \mu C$.
5. **Finding $V_4$:**
Using $Q_4 = 6.0\ \mu C$ and $C_4 = C_3 = 5.45\times10^{-7}\ F$ (assuming identical capacitors),
$$V_4 = \frac{Q_4}{C_4} = \frac{6.0\times10^{-6}}{5.45\times10^{-7}} = 11\ V$$
**Final answers:**
$$Q_1 = 6.0\ \mu C$$
$$V_4 = 11\ V$$