In the figure a 19 V battery is connected across capacitors of capacitances C₁ = C6 = 3.5 μF and C3 = C5 = 2.5C₂ = 2.5C4 = 5.0 μF. What are (a) the equivalent capacitance Ceq of the capacitors and (b) the charge stored by Ceq? What are (c) V₁ and (d) 9₁ of capacitor 1, (e) V₂ and (f) 92 of capacitor 2, and (g) V3 and (h) 93 of capacitor 3? C₁ I₁ C₂

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In the figure, a 19 V battery is connected across capacitors of capacitances \( C_1 = C_6 = 3.5 \, \mu\text{F} \) and \( C_3 = C_5 = 2.5 \, \mu\text{F} \), \( C_2 = 5.0 \, \mu\text{F} \), and \( C_4 = 5.0 \, \mu\text{F} \). 

### Questions:
- What are (a) the equivalent capacitance \( C_{\text{eq}} \) of the capacitors and (b) the charge stored by \( C_{\text{eq}} \)? 
- What are (c) \( V_1 \) and (d) \( q_1 \) of capacitor 1, (e) \( V_2 \) and (f) \( q_2 \) of capacitor 2, and (g) \( V_3 \) and (h) \( q_3 \) of capacitor 3?

### Diagram Explained:
The diagram shows a circuit where the capacitors are arranged in a combination of series and parallel connections. The capacitors \( C_4 \) and \( C_5 \) are in series with each other, and this combination is in parallel with the series combination of \( C_3 \) and \( C_2 \). This entire setup is then in series with capacitors \( C_1 \) and \( C_6 \). 

### Answer Fields:
Each question part has an input box for the numeric answer and a dropdown menu for units. The input boxes are labeled with (a) to (h).

1. (a) \[ \_\_\_\_\_\_ \] Units: \[ \_\_\_\_\_\_ \]
2. (b) \[ \_\_\_\_\_\_ \] Units: \[ \_\_\_\_\_\_ \]
3. (c) \[ \_\_\_\_\_\_ \] Units: \[ \_\_\_\_\_\_ \]
4. (d) \[ \_\_\_\_\_\_ \] Units: \[ \_\_\_\_\_\_ \]
5. (e) \[ \_\_\_\_\_\_ \] Units: \[ \_\_\_\_\_\
Transcribed Image Text:In the figure, a 19 V battery is connected across capacitors of capacitances \( C_1 = C_6 = 3.5 \, \mu\text{F} \) and \( C_3 = C_5 = 2.5 \, \mu\text{F} \), \( C_2 = 5.0 \, \mu\text{F} \), and \( C_4 = 5.0 \, \mu\text{F} \). ### Questions: - What are (a) the equivalent capacitance \( C_{\text{eq}} \) of the capacitors and (b) the charge stored by \( C_{\text{eq}} \)? - What are (c) \( V_1 \) and (d) \( q_1 \) of capacitor 1, (e) \( V_2 \) and (f) \( q_2 \) of capacitor 2, and (g) \( V_3 \) and (h) \( q_3 \) of capacitor 3? ### Diagram Explained: The diagram shows a circuit where the capacitors are arranged in a combination of series and parallel connections. The capacitors \( C_4 \) and \( C_5 \) are in series with each other, and this combination is in parallel with the series combination of \( C_3 \) and \( C_2 \). This entire setup is then in series with capacitors \( C_1 \) and \( C_6 \). ### Answer Fields: Each question part has an input box for the numeric answer and a dropdown menu for units. The input boxes are labeled with (a) to (h). 1. (a) \[ \_\_\_\_\_\_ \] Units: \[ \_\_\_\_\_\_ \] 2. (b) \[ \_\_\_\_\_\_ \] Units: \[ \_\_\_\_\_\_ \] 3. (c) \[ \_\_\_\_\_\_ \] Units: \[ \_\_\_\_\_\_ \] 4. (d) \[ \_\_\_\_\_\_ \] Units: \[ \_\_\_\_\_\_ \] 5. (e) \[ \_\_\_\_\_\_ \] Units: \[ \_\_\_\_\_\
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