In the circuit shown in (Figure 1), the capacitors are all initially uncharged and the battery has no appreciable internal resistance. Assume that E = 51.0 V and R = 23.0 2.

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The image depicts an electrical circuit consisting of a power source (denoted as ε), a resistor (R), an ammeter (A), and a combination of capacitors. 

1. **Power Source (ε)**: The circuit begins with a voltage source symbolized by ε. This is the driving force that provides electrical energy to the circuit.

2. **Switch**: The circuit includes a switch that controls the flow of current. When closed, it completes the circuit allowing current to flow through.

3. **Resistor (R)**: Connected in series with the rest of the circuit, the resistor is marked with a zigzag symbol. It is a component that restricts the flow of electric current.

4. **Ammeter (A)**: Connected in series, the ammeter measures the current flowing through the circuit. It appears as a circle with the letter 'A' inside.

5. **Capacitors**: To the right of the circuit are multiple capacitors:
   - A 10.0 pF (picofarad) capacitor directly in series after the resistor.
   - Three capacitors are in parallel with each other:
     - A 20.0 pF capacitor
     - A 30.0 pF capacitor
     - A 40.0 pF capacitor

The capacitors are connected in such a way that the total capacitance is affected by both series and parallel combinations. The current flowing through the ammeter depends on how the capacitors impact the overall impedance of the circuit.
Transcribed Image Text:The image depicts an electrical circuit consisting of a power source (denoted as ε), a resistor (R), an ammeter (A), and a combination of capacitors. 1. **Power Source (ε)**: The circuit begins with a voltage source symbolized by ε. This is the driving force that provides electrical energy to the circuit. 2. **Switch**: The circuit includes a switch that controls the flow of current. When closed, it completes the circuit allowing current to flow through. 3. **Resistor (R)**: Connected in series with the rest of the circuit, the resistor is marked with a zigzag symbol. It is a component that restricts the flow of electric current. 4. **Ammeter (A)**: Connected in series, the ammeter measures the current flowing through the circuit. It appears as a circle with the letter 'A' inside. 5. **Capacitors**: To the right of the circuit are multiple capacitors: - A 10.0 pF (picofarad) capacitor directly in series after the resistor. - Three capacitors are in parallel with each other: - A 20.0 pF capacitor - A 30.0 pF capacitor - A 40.0 pF capacitor The capacitors are connected in such a way that the total capacitance is affected by both series and parallel combinations. The current flowing through the ammeter depends on how the capacitors impact the overall impedance of the circuit.
**Educational Website Transcription:**

**Circuit Analysis Exercise**

In the circuit shown in (Figure 1), the capacitors are all initially uncharged, and the battery has no appreciable internal resistance. Assume that \( \mathcal{E} = 51.0 \, \text{V} \) and \( R = 23.0 \, \Omega \).

---

### Part D

**Problem Statement:**

After the switch is closed, find the maximum charge on the 40.0 pF capacitor.

**Answer Format:**

Express your answer in picocoulombs.

**Input Section:**

\( q_{40} = \) [______] \(\text{pC}\)

[Submit Button] [Request Answer]

---

### Part E

**Problem Statement:**

After the switch is closed, find the maximum potential difference across the 10.0 pF capacitor.

**Answer Format:**

Express your answer in volts.

**Input Section:**

\( V_{10} = \) [______] \(\text{V}\)

[Submit Button] [Request Answer]

---

### Part F

**Problem Statement:**

After the switch is closed, find the maximum potential difference across the 20.0 pF capacitor.

**Answer Format:**

Express your answer in volts.

**Input Section:**

\( V_{20} = \) [______] \(\text{V}\)

[Submit Button] [Request Answer]
Transcribed Image Text:**Educational Website Transcription:** **Circuit Analysis Exercise** In the circuit shown in (Figure 1), the capacitors are all initially uncharged, and the battery has no appreciable internal resistance. Assume that \( \mathcal{E} = 51.0 \, \text{V} \) and \( R = 23.0 \, \Omega \). --- ### Part D **Problem Statement:** After the switch is closed, find the maximum charge on the 40.0 pF capacitor. **Answer Format:** Express your answer in picocoulombs. **Input Section:** \( q_{40} = \) [______] \(\text{pC}\) [Submit Button] [Request Answer] --- ### Part E **Problem Statement:** After the switch is closed, find the maximum potential difference across the 10.0 pF capacitor. **Answer Format:** Express your answer in volts. **Input Section:** \( V_{10} = \) [______] \(\text{V}\) [Submit Button] [Request Answer] --- ### Part F **Problem Statement:** After the switch is closed, find the maximum potential difference across the 20.0 pF capacitor. **Answer Format:** Express your answer in volts. **Input Section:** \( V_{20} = \) [______] \(\text{V}\) [Submit Button] [Request Answer]
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