In the figure the battery has a potential difference of V = 10.0 V and the five capacitors each have a capacitance of 9.00 μF. What is the charge on (a) capacitor 1 and (b) capacitor 2? (a) Number (b) Number i IM 0.967 C₁ FI V Units Units UC C₂ μC

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### Capacitor Charge Calculation

In the figure, the battery has a potential difference of \( V = 10.0 \, \text{V} \) and the five capacitors each have a capacitance of \( 9.00 \, \mu\text{F} \). What is the charge on (a) capacitor 1 and (b) capacitor 2?

#### Diagram Explanation
The diagram depicts a circuit with a battery of potential difference \( V \), connected to five capacitors. Two of these capacitors are labeled \( C_1 \) and \( C_2 \).

- \( C_1 \) is connected directly to the battery.
- \( C_2 \) is part of a series-parallel combination of the other four capacitors.

This configuration requires using series and parallel capacitance formulas to determine the individual charges on \( C_1 \) and \( C_2 \).

#### Calculations
*Calculation details follow below.*

(a) **Charge on Capacitor 1**:
- The charge on \( C_1 \) has been calculated as: \( 0.967 \, \mu\text{C} \)

(b) **Charge on Capacitor 2**:
- The input box for \( C_2 \) is currently empty, awaiting calculation or input.

Use the following unit for your answers: **\( \mu\text{C} \)** (microcoulombs).

Please apply the properties and formulas of capacitors in series and parallel circuits to solve these steps.
Transcribed Image Text:### Capacitor Charge Calculation In the figure, the battery has a potential difference of \( V = 10.0 \, \text{V} \) and the five capacitors each have a capacitance of \( 9.00 \, \mu\text{F} \). What is the charge on (a) capacitor 1 and (b) capacitor 2? #### Diagram Explanation The diagram depicts a circuit with a battery of potential difference \( V \), connected to five capacitors. Two of these capacitors are labeled \( C_1 \) and \( C_2 \). - \( C_1 \) is connected directly to the battery. - \( C_2 \) is part of a series-parallel combination of the other four capacitors. This configuration requires using series and parallel capacitance formulas to determine the individual charges on \( C_1 \) and \( C_2 \). #### Calculations *Calculation details follow below.* (a) **Charge on Capacitor 1**: - The charge on \( C_1 \) has been calculated as: \( 0.967 \, \mu\text{C} \) (b) **Charge on Capacitor 2**: - The input box for \( C_2 \) is currently empty, awaiting calculation or input. Use the following unit for your answers: **\( \mu\text{C} \)** (microcoulombs). Please apply the properties and formulas of capacitors in series and parallel circuits to solve these steps.
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