In the figure R₁ = 5.03 02, R₂ = 10.11 02, R3 = 15.04, C₁ = 5.19 µF, C₂ = 10.25 µF, and the ideal battery has emf 8 = 22.3 V. Assuming that the circuit is in the steady state, what is the total energy stored in the two capacitors? Number i G₁₂ R₁ W Rs R₂ C₂ Units HJ <>

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### Problem Statement:

In the figure, there are three resistors and two capacitors arranged in a circuit with an ideal battery. Given the values:

- \( R_1 = 5.03 \, \Omega \)
- \( R_2 = 10.11 \, \Omega \)
- \( R_3 = 15.04 \, \Omega \)
- \( C_1 = 5.19 \, \mu \mathrm{F} \)
- \( C_2 = 10.25 \, \mu \mathrm{F} \)

The ideal battery has an electromotive force \( \mathcal{E} = 22.3 \, \mathrm{V} \). Assuming that the circuit is in the steady state, what is the total energy stored in the two capacitors?

### Circuit Diagram Description:

- **Capacitor \( C_1 \)** is connected in series with **resistor \( R_1 \)**.
- **Capacitor \( C_2 \)** is connected in parallel with **resistor \( R_2 \)**.
- **Resistor \( R_3 \)** is connected in series with the parallel combination of \( R_1 \)/\( C_1 \) and \( R_2 \)/\( C_2 \).
- An ideal battery with voltage \( \mathcal{E} \) is connected at the leftmost point of the circuit, supplying voltage to the entire configuration.

### Objective:

Calculate the total energy stored in capacitors \( C_1 \) and \( C_2 \) when the circuit reaches a steady state.

### Units:

The final energy stored should be expressed in microjoules (\( \mu \mathrm{J} \)).

[Place to enter the calculated value with units of \(\mu \mathrm{J}\)]
Transcribed Image Text:### Problem Statement: In the figure, there are three resistors and two capacitors arranged in a circuit with an ideal battery. Given the values: - \( R_1 = 5.03 \, \Omega \) - \( R_2 = 10.11 \, \Omega \) - \( R_3 = 15.04 \, \Omega \) - \( C_1 = 5.19 \, \mu \mathrm{F} \) - \( C_2 = 10.25 \, \mu \mathrm{F} \) The ideal battery has an electromotive force \( \mathcal{E} = 22.3 \, \mathrm{V} \). Assuming that the circuit is in the steady state, what is the total energy stored in the two capacitors? ### Circuit Diagram Description: - **Capacitor \( C_1 \)** is connected in series with **resistor \( R_1 \)**. - **Capacitor \( C_2 \)** is connected in parallel with **resistor \( R_2 \)**. - **Resistor \( R_3 \)** is connected in series with the parallel combination of \( R_1 \)/\( C_1 \) and \( R_2 \)/\( C_2 \). - An ideal battery with voltage \( \mathcal{E} \) is connected at the leftmost point of the circuit, supplying voltage to the entire configuration. ### Objective: Calculate the total energy stored in capacitors \( C_1 \) and \( C_2 \) when the circuit reaches a steady state. ### Units: The final energy stored should be expressed in microjoules (\( \mu \mathrm{J} \)). [Place to enter the calculated value with units of \(\mu \mathrm{J}\)]
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